Identifier
-
Mp00056:
Parking functions
—to Dyck path⟶
Dyck paths
St000395: Dyck paths ⟶ ℤ
Values
[1] => [1,0] => 1
[1,1] => [1,1,0,0] => 2
[1,2] => [1,0,1,0] => 2
[2,1] => [1,0,1,0] => 2
[1,1,1] => [1,1,1,0,0,0] => 3
[1,1,2] => [1,1,0,1,0,0] => 4
[1,2,1] => [1,1,0,1,0,0] => 4
[2,1,1] => [1,1,0,1,0,0] => 4
[1,1,3] => [1,1,0,0,1,0] => 3
[1,3,1] => [1,1,0,0,1,0] => 3
[3,1,1] => [1,1,0,0,1,0] => 3
[1,2,2] => [1,0,1,1,0,0] => 3
[2,1,2] => [1,0,1,1,0,0] => 3
[2,2,1] => [1,0,1,1,0,0] => 3
[1,2,3] => [1,0,1,0,1,0] => 3
[1,3,2] => [1,0,1,0,1,0] => 3
[2,1,3] => [1,0,1,0,1,0] => 3
[2,3,1] => [1,0,1,0,1,0] => 3
[3,1,2] => [1,0,1,0,1,0] => 3
[3,2,1] => [1,0,1,0,1,0] => 3
[1,1,1,1] => [1,1,1,1,0,0,0,0] => 4
[1,1,1,2] => [1,1,1,0,1,0,0,0] => 6
[1,1,2,1] => [1,1,1,0,1,0,0,0] => 6
[1,2,1,1] => [1,1,1,0,1,0,0,0] => 6
[2,1,1,1] => [1,1,1,0,1,0,0,0] => 6
[1,1,1,3] => [1,1,1,0,0,1,0,0] => 5
[1,1,3,1] => [1,1,1,0,0,1,0,0] => 5
[1,3,1,1] => [1,1,1,0,0,1,0,0] => 5
[3,1,1,1] => [1,1,1,0,0,1,0,0] => 5
[1,1,1,4] => [1,1,1,0,0,0,1,0] => 4
[1,1,4,1] => [1,1,1,0,0,0,1,0] => 4
[1,4,1,1] => [1,1,1,0,0,0,1,0] => 4
[4,1,1,1] => [1,1,1,0,0,0,1,0] => 4
[1,1,2,2] => [1,1,0,1,1,0,0,0] => 5
[1,2,1,2] => [1,1,0,1,1,0,0,0] => 5
[1,2,2,1] => [1,1,0,1,1,0,0,0] => 5
[2,1,1,2] => [1,1,0,1,1,0,0,0] => 5
[2,1,2,1] => [1,1,0,1,1,0,0,0] => 5
[2,2,1,1] => [1,1,0,1,1,0,0,0] => 5
[1,1,2,3] => [1,1,0,1,0,1,0,0] => 6
[1,1,3,2] => [1,1,0,1,0,1,0,0] => 6
[1,2,1,3] => [1,1,0,1,0,1,0,0] => 6
[1,2,3,1] => [1,1,0,1,0,1,0,0] => 6
[1,3,1,2] => [1,1,0,1,0,1,0,0] => 6
[1,3,2,1] => [1,1,0,1,0,1,0,0] => 6
[2,1,1,3] => [1,1,0,1,0,1,0,0] => 6
[2,1,3,1] => [1,1,0,1,0,1,0,0] => 6
[2,3,1,1] => [1,1,0,1,0,1,0,0] => 6
[3,1,1,2] => [1,1,0,1,0,1,0,0] => 6
[3,1,2,1] => [1,1,0,1,0,1,0,0] => 6
[3,2,1,1] => [1,1,0,1,0,1,0,0] => 6
[1,1,2,4] => [1,1,0,1,0,0,1,0] => 5
[1,1,4,2] => [1,1,0,1,0,0,1,0] => 5
[1,2,1,4] => [1,1,0,1,0,0,1,0] => 5
[1,2,4,1] => [1,1,0,1,0,0,1,0] => 5
[1,4,1,2] => [1,1,0,1,0,0,1,0] => 5
[1,4,2,1] => [1,1,0,1,0,0,1,0] => 5
[2,1,1,4] => [1,1,0,1,0,0,1,0] => 5
[2,1,4,1] => [1,1,0,1,0,0,1,0] => 5
[2,4,1,1] => [1,1,0,1,0,0,1,0] => 5
[4,1,1,2] => [1,1,0,1,0,0,1,0] => 5
[4,1,2,1] => [1,1,0,1,0,0,1,0] => 5
[4,2,1,1] => [1,1,0,1,0,0,1,0] => 5
[1,1,3,3] => [1,1,0,0,1,1,0,0] => 4
[1,3,1,3] => [1,1,0,0,1,1,0,0] => 4
[1,3,3,1] => [1,1,0,0,1,1,0,0] => 4
[3,1,1,3] => [1,1,0,0,1,1,0,0] => 4
[3,1,3,1] => [1,1,0,0,1,1,0,0] => 4
[3,3,1,1] => [1,1,0,0,1,1,0,0] => 4
[1,1,3,4] => [1,1,0,0,1,0,1,0] => 4
[1,1,4,3] => [1,1,0,0,1,0,1,0] => 4
[1,3,1,4] => [1,1,0,0,1,0,1,0] => 4
[1,3,4,1] => [1,1,0,0,1,0,1,0] => 4
[1,4,1,3] => [1,1,0,0,1,0,1,0] => 4
[1,4,3,1] => [1,1,0,0,1,0,1,0] => 4
[3,1,1,4] => [1,1,0,0,1,0,1,0] => 4
[3,1,4,1] => [1,1,0,0,1,0,1,0] => 4
[3,4,1,1] => [1,1,0,0,1,0,1,0] => 4
[4,1,1,3] => [1,1,0,0,1,0,1,0] => 4
[4,1,3,1] => [1,1,0,0,1,0,1,0] => 4
[4,3,1,1] => [1,1,0,0,1,0,1,0] => 4
[1,2,2,2] => [1,0,1,1,1,0,0,0] => 4
[2,1,2,2] => [1,0,1,1,1,0,0,0] => 4
[2,2,1,2] => [1,0,1,1,1,0,0,0] => 4
[2,2,2,1] => [1,0,1,1,1,0,0,0] => 4
[1,2,2,3] => [1,0,1,1,0,1,0,0] => 5
[1,2,3,2] => [1,0,1,1,0,1,0,0] => 5
[1,3,2,2] => [1,0,1,1,0,1,0,0] => 5
[2,1,2,3] => [1,0,1,1,0,1,0,0] => 5
[2,1,3,2] => [1,0,1,1,0,1,0,0] => 5
[2,2,1,3] => [1,0,1,1,0,1,0,0] => 5
[2,2,3,1] => [1,0,1,1,0,1,0,0] => 5
[2,3,1,2] => [1,0,1,1,0,1,0,0] => 5
[2,3,2,1] => [1,0,1,1,0,1,0,0] => 5
[3,1,2,2] => [1,0,1,1,0,1,0,0] => 5
[3,2,1,2] => [1,0,1,1,0,1,0,0] => 5
[3,2,2,1] => [1,0,1,1,0,1,0,0] => 5
[1,2,2,4] => [1,0,1,1,0,0,1,0] => 4
[1,2,4,2] => [1,0,1,1,0,0,1,0] => 4
[1,4,2,2] => [1,0,1,1,0,0,1,0] => 4
[2,1,2,4] => [1,0,1,1,0,0,1,0] => 4
>>> Load all 18248 entries. <<<[2,1,4,2] => [1,0,1,1,0,0,1,0] => 4
[2,2,1,4] => [1,0,1,1,0,0,1,0] => 4
[2,2,4,1] => [1,0,1,1,0,0,1,0] => 4
[2,4,1,2] => [1,0,1,1,0,0,1,0] => 4
[2,4,2,1] => [1,0,1,1,0,0,1,0] => 4
[4,1,2,2] => [1,0,1,1,0,0,1,0] => 4
[4,2,1,2] => [1,0,1,1,0,0,1,0] => 4
[4,2,2,1] => [1,0,1,1,0,0,1,0] => 4
[1,2,3,3] => [1,0,1,0,1,1,0,0] => 4
[1,3,2,3] => [1,0,1,0,1,1,0,0] => 4
[1,3,3,2] => [1,0,1,0,1,1,0,0] => 4
[2,1,3,3] => [1,0,1,0,1,1,0,0] => 4
[2,3,1,3] => [1,0,1,0,1,1,0,0] => 4
[2,3,3,1] => [1,0,1,0,1,1,0,0] => 4
[3,1,2,3] => [1,0,1,0,1,1,0,0] => 4
[3,1,3,2] => [1,0,1,0,1,1,0,0] => 4
[3,2,1,3] => [1,0,1,0,1,1,0,0] => 4
[3,2,3,1] => [1,0,1,0,1,1,0,0] => 4
[3,3,1,2] => [1,0,1,0,1,1,0,0] => 4
[3,3,2,1] => [1,0,1,0,1,1,0,0] => 4
[1,2,3,4] => [1,0,1,0,1,0,1,0] => 4
[1,2,4,3] => [1,0,1,0,1,0,1,0] => 4
[1,3,2,4] => [1,0,1,0,1,0,1,0] => 4
[1,3,4,2] => [1,0,1,0,1,0,1,0] => 4
[1,4,2,3] => [1,0,1,0,1,0,1,0] => 4
[1,4,3,2] => [1,0,1,0,1,0,1,0] => 4
[2,1,3,4] => [1,0,1,0,1,0,1,0] => 4
[2,1,4,3] => [1,0,1,0,1,0,1,0] => 4
[2,3,1,4] => [1,0,1,0,1,0,1,0] => 4
[2,3,4,1] => [1,0,1,0,1,0,1,0] => 4
[2,4,1,3] => [1,0,1,0,1,0,1,0] => 4
[2,4,3,1] => [1,0,1,0,1,0,1,0] => 4
[3,1,2,4] => [1,0,1,0,1,0,1,0] => 4
[3,1,4,2] => [1,0,1,0,1,0,1,0] => 4
[3,2,1,4] => [1,0,1,0,1,0,1,0] => 4
[3,2,4,1] => [1,0,1,0,1,0,1,0] => 4
[3,4,1,2] => [1,0,1,0,1,0,1,0] => 4
[3,4,2,1] => [1,0,1,0,1,0,1,0] => 4
[4,1,2,3] => [1,0,1,0,1,0,1,0] => 4
[4,1,3,2] => [1,0,1,0,1,0,1,0] => 4
[4,2,1,3] => [1,0,1,0,1,0,1,0] => 4
[4,2,3,1] => [1,0,1,0,1,0,1,0] => 4
[4,3,1,2] => [1,0,1,0,1,0,1,0] => 4
[4,3,2,1] => [1,0,1,0,1,0,1,0] => 4
[1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0] => 8
[1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0] => 8
[1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0] => 8
[1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0] => 8
[2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0] => 8
[1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0] => 7
[1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0] => 7
[1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0] => 7
[1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0] => 7
[3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0] => 7
[1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0] => 6
[1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0] => 6
[1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0] => 6
[1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0] => 6
[4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0] => 6
[1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0] => 5
[1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0] => 5
[1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0] => 5
[1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0] => 5
[5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0] => 5
[1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0] => 7
[1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0] => 7
[1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0] => 7
[1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0] => 7
[1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0] => 7
[1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0] => 7
[2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0] => 7
[2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0] => 7
[2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0] => 7
[2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0] => 7
[1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0] => 9
[2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0] => 9
[3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0] => 9
[1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0] => 8
[2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0] => 8
[4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0] => 8
[1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0] => 7
[2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0] => 7
[5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0] => 7
[1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0] => 6
[1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0] => 6
[1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0] => 6
[1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0] => 6
[1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0] => 6
[1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0] => 6
[3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0] => 6
[3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0] => 6
[3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0] => 6
[3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => 7
[3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => 7
[4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => 7
[1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0] => 6
[3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0] => 6
[5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0] => 5
[1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0] => 5
[1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0] => 5
[4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0] => 5
[4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0] => 5
[5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0] => 6
[1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0] => 6
[1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0] => 6
[1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0] => 6
[2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0] => 6
[2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0] => 6
[2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0] => 6
[2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0] => 6
[2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0] => 6
[2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0] => 6
[1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0] => 8
[3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0] => 8
[1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => 7
[4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => 7
[1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0] => 6
[5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0] => 7
[1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => 8
[1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0] => 7
[1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0] => 6
[1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0] => 5
[1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0] => 5
[1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0] => 5
[1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0] => 5
[3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0] => 5
[3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0] => 5
[3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0] => 5
[3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0] => 5
[3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0] => 5
[3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0] => 5
[1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0] => 6
[4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0] => 6
[1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0] => 5
[5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0] => 5
[2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0] => 5
[2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0] => 5
[2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0] => 5
[2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0] => 5
[1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0] => 7
[1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0] => 7
[3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0] => 7
[1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => 6
[1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => 6
[4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => 6
[4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => 6
[1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0] => 5
[1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0] => 5
[5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0] => 6
[3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0] => 6
[1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => 7
[4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => 7
[1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0] => 6
[5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0] => 5
[1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => 5
[5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0] => 5
[2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0] => 5
[3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0] => 5
[1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0] => 6
[4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0] => 5
[5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0] => 5
[5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,1,1,1,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,1,1,2,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,1,2,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,2,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 10
[2,1,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,1,1,1,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,1,1,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,1,3,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,3,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,1,1,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,1,1,1,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,1,1,4,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,1,4,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,4,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 8
[4,1,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,1,1,1,1,5] => [1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,1,1,1,5,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,1,1,5,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,1,5,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,5,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 7
[5,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,1,1,1,6,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,1,1,6,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,1,6,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,6,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[6,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,1,1,1,2,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,1,1,2,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,1,1,2,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,1,2,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,1,2,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,1,2,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,2,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,2,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,2,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,2,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[2,1,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[2,1,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[2,1,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[2,1,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[2,2,1,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,1,1,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,2,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,2,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,2,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,3,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,3,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,3,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,2,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,2,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,2,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,2,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,3,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,3,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,3,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,3,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[2,1,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[2,1,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[2,1,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[2,1,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[2,3,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[3,1,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[3,1,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[3,1,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[3,1,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[3,2,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,1,2,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,1,1,4,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,1,2,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,1,2,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,1,4,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,1,4,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,2,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,2,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,2,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,4,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,4,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,4,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,2,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,2,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,2,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,2,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,4,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,4,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,4,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,4,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[2,1,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[2,1,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[2,1,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[2,1,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[2,4,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[4,1,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[4,1,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[4,1,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[4,1,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[4,2,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,1,1,2,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,1,1,5,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,1,2,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,1,2,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,1,5,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,1,5,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,2,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,2,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,2,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,5,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,5,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,5,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,2,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,2,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,2,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,2,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,5,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,5,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,5,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,5,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[2,1,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[2,1,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[2,1,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[2,1,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[2,5,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[5,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[5,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[5,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[5,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[5,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,1,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,1,6,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,2,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,6,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,6,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,2,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,2,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,2,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,6,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,6,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,6,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,2,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,2,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,2,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,2,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,6,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,6,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,6,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,6,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[2,1,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[2,1,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[2,1,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[2,1,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[2,6,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[6,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[6,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[6,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[6,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[6,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,1,3,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,1,3,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,1,3,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,3,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,3,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,3,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,3,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,3,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,3,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,3,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[3,1,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[3,1,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[3,1,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[3,1,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[3,3,1,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,1,1,3,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,1,1,4,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,1,3,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,1,3,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,1,4,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,1,4,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,3,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,3,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,3,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,4,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,4,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,4,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,3,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,3,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,3,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,3,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,4,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,4,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,4,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,4,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[3,1,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[3,1,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[3,1,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[3,1,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[3,4,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[4,1,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[4,1,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[4,1,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[4,1,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[4,3,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,1,1,3,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,1,5,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,3,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,3,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,5,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,5,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,3,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,3,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,3,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,5,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,5,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,5,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,3,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,3,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,3,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,3,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,5,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,5,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,5,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,5,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[3,1,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[3,1,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[3,1,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[3,1,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[3,5,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[5,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[5,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[5,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[5,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[5,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,1,6,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,3,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,6,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,6,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,3,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,3,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,3,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,6,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,6,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,6,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,3,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,3,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,3,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,3,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,6,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,6,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,6,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,6,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[3,1,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[3,1,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[3,1,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[3,1,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[3,6,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[6,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[6,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[6,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[6,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[6,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,1,4,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,1,4,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,1,4,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,4,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,4,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,4,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,4,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,4,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,4,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,4,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[4,1,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[4,1,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[4,1,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[4,1,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[4,4,1,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,1,1,4,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,1,5,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,4,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,4,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,5,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,5,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,4,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,4,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,4,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,5,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,5,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,5,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,4,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,4,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,4,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,4,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,5,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,5,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,5,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,5,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[4,1,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[4,1,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[4,1,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[4,1,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[4,5,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[5,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[5,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[5,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[5,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[5,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,1,4,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,1,6,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,4,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,4,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,6,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,6,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,4,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,4,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,4,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,6,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,6,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,6,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,4,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,4,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,4,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,4,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,6,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,6,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,6,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,6,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[4,1,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[4,1,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[4,1,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[4,1,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[4,6,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[6,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[6,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[6,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[6,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[6,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,1,5,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,1,5,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,1,5,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,5,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,5,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,5,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,5,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,5,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,5,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,5,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[5,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[5,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[5,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[5,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[5,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,1,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,1,6,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,5,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,5,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,6,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,6,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,5,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,5,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,5,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,6,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,6,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,6,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,5,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,5,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,5,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,5,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,6,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,6,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,6,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,6,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[5,1,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[5,1,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[5,1,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[5,1,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[5,6,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[6,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[6,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[6,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[6,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[6,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,2,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,1,2,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,1,2,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,1,2,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,2,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,2,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,2,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,2,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,2,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,2,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,1,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,1,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,1,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,1,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,1,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,1,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,2,1,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,2,1,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,2,1,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[2,2,2,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,1,1,2,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,1,2,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,1,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,2,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,2,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,2,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,2,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,2,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,2,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,3,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,3,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,3,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,2,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,3,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,3,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,3,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,3,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,3,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,3,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,1,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,2,1,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,2,1,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,2,1,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,2,3,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,3,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,3,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,3,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[2,3,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,1,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,1,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,1,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,1,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,1,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,1,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,2,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,2,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,2,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[3,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,1,2,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,1,2,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,1,4,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,2,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,2,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,2,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,2,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,2,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,2,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,4,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,4,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,4,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,2,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,4,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,4,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,4,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,4,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,4,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,4,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,1,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,2,1,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,2,1,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,2,1,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,2,4,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,4,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,4,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,4,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[2,4,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,1,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,1,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,1,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,1,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,1,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,1,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,2,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,2,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,2,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[4,2,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,1,2,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,1,2,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,1,5,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,2,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,2,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,2,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,2,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,2,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,2,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,5,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,5,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,5,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,2,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,5,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,5,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,5,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,5,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,5,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,5,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,1,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,2,1,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,2,1,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,2,1,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,2,5,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,5,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,5,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,5,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[2,5,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[5,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,1,2,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,1,2,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,1,6,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,2,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,2,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,2,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,2,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,2,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,2,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,6,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,6,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,6,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,2,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,6,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,6,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,6,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,6,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,6,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,6,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,1,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,2,1,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,2,1,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,2,1,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,2,6,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,6,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,6,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,6,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[2,6,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[6,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,1,2,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,1,3,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,1,3,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,2,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,2,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,2,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,3,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,3,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,3,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,3,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,3,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,3,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,2,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,2,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,2,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,2,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,2,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,2,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,3,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,1,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,1,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,1,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,1,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,1,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,1,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,3,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,3,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,3,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[2,3,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,1,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,2,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,2,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,2,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,2,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,3,1,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,3,1,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,3,1,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[3,3,2,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,1,2,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,2,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,3,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,3,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,4,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,4,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,2,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,2,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,2,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,2,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,2,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,2,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,3,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,3,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,3,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,3,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,3,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,3,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,4,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,4,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,4,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,4,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,4,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,4,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,2,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,3,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,4,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,1,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,3,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,3,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,3,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,3,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,4,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,4,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,4,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[2,4,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,1,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,2,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,2,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,2,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,2,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,4,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,4,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,4,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[3,4,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,1,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,2,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,2,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,2,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,2,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,3,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,3,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,3,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[4,3,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,2,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,2,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,3,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,3,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,5,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,5,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,2,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,2,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,2,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,2,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,2,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,2,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,3,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,3,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,3,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,3,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,3,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,3,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,5,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,5,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,5,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,5,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,5,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,5,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,2,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,3,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,5,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,1,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,3,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,3,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,3,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,3,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,5,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,5,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,5,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[2,5,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,1,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,2,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,2,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,2,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,2,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,5,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,5,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,5,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[3,5,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[5,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,2,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,2,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,3,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,3,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,6,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,6,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,2,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,2,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,2,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,2,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,2,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,2,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,3,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,3,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,3,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,3,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,3,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,3,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,6,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,6,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,6,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,6,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,6,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,6,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,2,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,3,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,6,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,1,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,3,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,3,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,3,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,3,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,6,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,6,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,6,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[2,6,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,1,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,2,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,2,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,2,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,2,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,6,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,6,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,6,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[3,6,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[6,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,2,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,1,4,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,1,4,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,2,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,2,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,2,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,4,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,4,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,4,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,4,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,4,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,4,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,2,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,2,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,2,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,2,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,2,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,2,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,4,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,1,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,1,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,1,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,1,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,1,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,1,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,4,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,4,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,4,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[2,4,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,1,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,2,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,2,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,2,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,2,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,4,1,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,4,1,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,4,1,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[4,4,2,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,1,2,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,2,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,4,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,4,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,5,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,5,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,2,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,2,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,2,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,2,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,2,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,2,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,4,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,4,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,4,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,4,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,4,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,4,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,5,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,5,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,5,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,5,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,5,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,5,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,2,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,4,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,5,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,1,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,4,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,4,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,4,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,4,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,5,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,5,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,5,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[2,5,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,1,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,2,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,2,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,2,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,2,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,5,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,5,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,5,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[4,5,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[5,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,2,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,2,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,4,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,4,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,6,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,6,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,2,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,2,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,2,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,2,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,2,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,2,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,4,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,4,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,4,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,4,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,4,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,4,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,6,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,6,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,6,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,6,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,6,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,6,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,2,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,4,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,6,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,1,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,4,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,4,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,4,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,4,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,6,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,6,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,6,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[2,6,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,1,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,2,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,2,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,2,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,2,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,6,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,6,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,6,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[4,6,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[6,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,2,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,1,5,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,1,5,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,2,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,2,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,2,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,5,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,5,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,5,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,5,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,5,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,5,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,2,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,2,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,2,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,2,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,2,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,2,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,5,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,1,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,1,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,1,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,1,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,1,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,1,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,5,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,5,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,5,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[2,5,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[5,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,2,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,5,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,5,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,6,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,6,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,2,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,2,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,2,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,2,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,2,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,5,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,5,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,5,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,5,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,5,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,5,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,6,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,6,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,6,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,6,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,6,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,6,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,2,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,5,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,6,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,1,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,5,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,5,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,5,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,5,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,6,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,6,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,6,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[2,6,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,1,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,2,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,2,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,2,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,2,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,6,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,6,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,6,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[5,6,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[6,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,3,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,1,3,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,1,3,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,1,3,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,3,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,3,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,3,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,3,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,3,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,3,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,1,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,1,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,1,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,1,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,1,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,1,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,3,1,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,3,1,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,3,1,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[3,3,3,1,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,1,1,3,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,1,3,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,1,4,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,3,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,3,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,3,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,3,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,3,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,3,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,4,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,4,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,4,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,3,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,4,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,4,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,4,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,4,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,4,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,4,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,1,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,3,1,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,3,1,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,3,1,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,3,4,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,4,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,4,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,4,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[3,4,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,1,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,1,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,1,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,1,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,1,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,1,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,3,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,3,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,3,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[4,3,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,1,3,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,1,3,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,1,5,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,3,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,3,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,3,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,3,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,3,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,3,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,5,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,5,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,5,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,3,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,5,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,5,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,5,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,5,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,5,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,5,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,1,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,3,1,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,3,1,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,3,1,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,3,5,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,5,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,5,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,5,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[3,5,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[5,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,1,3,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,1,3,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,1,6,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,3,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,3,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,3,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,3,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,3,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,3,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,6,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,6,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,6,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,3,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,6,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,6,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,6,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,6,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,6,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,6,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,1,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,3,1,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,3,1,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,3,1,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,3,6,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,6,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,6,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,6,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[3,6,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[6,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,1,3,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,1,4,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,1,4,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,3,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,3,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,3,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,4,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,4,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,4,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,4,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,4,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,4,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,3,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,3,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,3,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,3,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,3,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,3,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,4,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,1,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,1,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,1,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,1,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,1,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,1,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,4,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,4,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,4,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[3,4,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,1,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,3,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,3,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,3,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,3,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,4,1,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,4,1,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,4,1,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[4,4,3,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,1,3,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,3,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,4,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,4,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,5,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,5,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,3,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,3,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,3,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,3,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,3,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,3,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,4,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,4,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,4,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,4,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,4,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,4,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,5,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,5,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,5,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,5,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,5,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,5,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,3,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,4,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,5,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,1,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,4,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,4,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,4,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,4,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,5,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,5,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,5,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[3,5,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,1,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,3,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,3,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,3,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,3,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,5,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,5,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,5,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[4,5,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[5,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,3,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,3,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,4,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,4,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,6,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,6,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,3,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,3,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,3,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,3,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,3,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,3,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,4,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,4,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,4,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,4,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,4,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,4,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,6,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,6,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,6,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,6,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,6,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,6,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,3,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,4,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,6,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,1,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,4,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,4,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,4,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,4,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,6,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,6,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,6,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[3,6,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,1,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,3,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,3,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,3,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,3,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,6,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,6,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,6,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[4,6,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[6,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,3,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,1,5,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,1,5,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,3,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,3,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,3,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,5,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,5,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,5,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,5,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,5,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,5,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,3,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,3,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,3,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,3,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,3,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,3,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,5,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,1,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,1,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,1,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,1,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,1,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,1,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,5,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,5,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,5,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[3,5,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[5,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,1,3,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,3,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,5,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,5,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,6,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,6,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,3,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,3,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,3,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,3,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,3,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,3,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,5,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,5,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,5,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,5,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,5,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,5,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,6,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,6,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,6,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,6,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,6,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,6,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,3,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,5,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,6,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,1,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,5,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,5,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,5,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,5,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,6,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,6,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,6,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[3,6,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,1,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,3,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,3,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,3,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,3,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,6,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,6,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,6,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[5,6,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[6,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,4,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,1,4,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,1,4,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,1,4,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,4,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,4,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,4,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,4,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,4,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,4,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,1,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,1,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,1,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,1,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,1,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,1,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,4,1,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,4,1,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,4,1,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,4,4,1,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,1,1,4,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,1,4,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,1,5,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,4,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,4,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,4,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,4,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,4,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,4,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,5,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,5,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,5,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,4,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,5,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,5,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,5,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,5,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,5,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,5,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,1,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,4,1,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,4,1,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,4,1,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,4,5,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,5,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,5,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,5,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[4,5,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[5,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,1,4,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,1,4,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,1,6,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,4,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,4,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,4,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,4,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,4,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,4,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,6,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,6,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,6,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,4,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,6,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,6,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,6,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,6,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,6,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,6,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,1,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,4,1,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,4,1,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,4,1,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,4,6,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,6,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,6,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,6,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[4,6,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[6,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,1,4,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,1,5,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,1,5,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,4,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,4,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,4,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,5,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,5,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,5,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,5,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,5,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,5,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,4,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,4,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,4,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,4,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,4,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,4,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,5,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,1,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,1,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,1,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,1,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,1,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,1,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,5,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,5,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,5,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[4,5,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[5,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,4,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,5,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,5,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,6,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,6,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,4,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,4,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,4,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,4,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,4,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,4,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,5,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,5,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,5,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,5,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,5,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,5,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,6,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,6,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,6,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,6,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,6,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,6,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,4,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,5,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,6,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,1,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,5,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,5,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,5,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,5,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,6,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,6,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,6,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[4,6,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,1,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,4,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,4,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,4,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,4,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,6,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,6,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,6,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[5,6,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[6,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,2,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,2,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,2,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,2,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,2,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,1,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,1,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,1,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,1,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,2,1,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,2,1,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,2,1,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,2,2,1,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,2,2,1,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[2,2,2,2,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,1,2,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,1,2,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,1,2,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,1,3,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,2,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,3,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,3,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,3,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,3,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,1,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,1,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,1,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,1,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,1,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,1,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,1,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,2,1,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,2,1,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,2,3,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,3,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,3,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,2,3,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,3,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,3,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,3,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,3,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,3,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[2,3,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,1,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,1,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,1,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,1,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,2,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,2,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,2,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,2,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,2,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[3,2,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,1,2,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,1,2,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,1,2,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,1,4,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,2,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,4,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,4,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,4,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,4,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,1,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,1,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,1,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,1,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,1,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,1,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,1,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,2,1,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,2,1,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,2,4,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,4,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,4,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,2,4,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,4,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,4,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,4,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,4,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,4,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[2,4,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,1,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,1,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,1,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,1,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,2,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,2,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,2,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,2,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,2,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[4,2,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,1,2,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,2,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,2,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,5,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,2,1,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,2,1,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,2,5,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,5,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,5,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,5,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,2,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,2,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,2,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,6,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,2,1,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,2,1,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,2,6,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,6,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,6,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,6,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,2,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,2,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,2,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,3,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,3,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,3,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,2,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,3,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,1,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,2,1,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,2,1,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,2,1,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,2,3,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,2,3,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,2,3,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[2,3,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,1,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,2,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,3,1,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,3,1,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,3,1,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,3,2,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,3,2,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[3,3,2,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,2,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,2,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,2,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,2,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,2,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,2,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,3,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,3,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,3,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,4,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,4,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,4,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,2,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,3,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,4,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,1,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,1,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,1,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,1,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,1,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,1,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,1,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,3,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,3,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,3,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,4,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,4,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,2,4,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,3,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[2,4,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,1,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,2,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,4,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,4,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,4,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,4,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,4,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[3,4,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,1,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,2,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,3,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,3,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,3,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,3,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,3,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[4,3,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,2,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,2,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,2,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,2,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,2,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,2,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,3,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,3,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,3,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,5,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,5,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,5,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,2,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,3,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,5,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,1,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,1,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,1,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,1,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,1,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,1,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,1,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,3,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,3,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,3,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,5,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,5,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,2,5,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,3,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[2,5,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,1,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,2,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,5,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,5,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,5,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,5,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,5,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[3,5,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[5,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,2,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,2,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,2,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,2,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,2,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,2,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,3,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,3,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,3,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,6,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,6,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,6,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,2,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,3,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,6,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,1,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,1,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,1,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,1,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,1,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,1,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,1,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,3,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,3,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,3,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,6,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,6,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,2,6,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,3,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[2,6,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,1,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,2,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,6,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,6,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,6,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,6,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,6,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[3,6,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[6,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,2,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,2,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,2,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,4,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,4,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,4,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,2,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,4,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,1,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,2,1,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,2,1,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,2,1,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,2,4,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,2,4,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,2,4,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[2,4,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,1,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,2,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,4,1,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,4,1,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,4,1,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,4,2,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,4,2,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[4,4,2,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,2,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,2,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,2,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,2,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,2,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,2,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,4,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,4,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,4,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,5,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,5,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,5,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,2,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,4,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,5,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,1,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,1,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,1,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,1,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,1,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,1,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,1,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,4,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,4,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,4,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,5,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,5,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,2,5,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,4,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[2,5,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,1,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,2,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,5,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,5,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,5,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,5,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,5,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[4,5,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[5,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,2,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,2,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,2,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,2,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,2,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,2,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,4,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,4,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,4,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,6,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,6,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,6,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,2,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,4,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,6,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,1,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,1,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,1,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,1,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,1,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,1,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,1,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,4,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,4,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,4,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,6,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,6,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,2,6,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,4,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[2,6,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,1,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,2,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,6,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,6,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,6,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,6,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,6,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[4,6,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[6,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,2,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,2,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,2,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,5,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,5,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,5,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,2,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,5,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,2,1,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,2,1,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,2,1,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,2,5,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,2,5,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,2,5,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[2,5,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[5,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,2,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,2,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,2,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,2,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,2,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,2,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,5,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,5,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,5,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,6,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,6,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,6,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,2,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,5,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,6,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,1,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,1,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,1,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,1,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,1,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,1,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,1,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,5,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,5,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,5,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,6,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,6,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,2,6,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,5,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[2,6,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,1,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,2,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,6,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,6,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,6,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,6,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,6,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,6,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[6,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,2,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,1,3,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,1,3,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,1,3,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,2,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,2,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,2,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,2,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,3,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,1,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,1,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,1,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,1,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,3,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,3,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,3,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,3,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,3,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[2,3,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,1,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,2,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,2,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,2,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,2,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,2,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,2,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,1,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,1,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,1,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,1,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,1,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,1,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,2,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,2,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,2,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,3,1,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,3,1,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[3,3,3,2,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,1,2,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,2,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,2,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,3,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,3,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,3,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,3,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,3,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,3,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,4,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,4,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,4,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,2,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,3,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,4,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,1,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,3,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,4,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,4,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,4,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,4,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,4,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[2,4,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,1,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,2,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,1,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,1,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,1,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,1,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,1,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,1,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,2,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,2,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,2,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,4,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,4,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,3,4,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[3,4,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,1,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,2,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,2,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,2,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,2,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,2,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,2,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[4,3,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,2,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,2,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,2,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,3,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,3,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,3,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,3,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,3,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,3,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,5,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,5,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,5,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,2,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,3,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,5,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,1,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,3,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,5,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,5,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,5,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,5,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,5,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[2,5,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,1,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,2,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,1,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,1,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,1,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,1,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,1,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,1,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,2,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,2,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,2,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,5,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,5,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,3,5,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[3,5,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[5,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,2,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,2,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,2,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,3,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,3,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,3,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,3,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,3,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,3,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,6,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,6,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,6,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,2,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,3,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,6,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,1,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,3,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,6,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,6,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,6,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,6,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,6,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[2,6,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,1,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,2,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,1,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,1,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,1,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,1,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,1,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,1,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,2,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,2,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,2,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,6,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,6,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,3,6,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[3,6,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[6,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,2,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,2,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,2,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,3,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,3,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,3,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,4,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,4,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,4,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,4,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,4,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,4,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,2,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,3,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,4,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,1,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,3,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,3,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,3,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,3,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,3,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,3,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[2,4,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,1,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,2,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,2,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,2,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,2,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,2,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,2,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[3,4,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,1,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,2,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,3,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,1,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,1,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,1,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,1,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,1,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,1,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,2,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,2,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,2,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,3,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,3,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[4,4,3,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,2,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,2,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,2,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,2,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,2,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,2,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,3,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,3,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,3,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,3,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,3,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,3,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,4,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,4,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,4,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,4,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,4,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,4,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,5,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,5,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,5,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,5,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,5,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,5,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,2,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,3,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,4,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,5,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,1,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,3,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,4,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[2,5,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,1,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,2,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,4,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[3,5,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,1,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,2,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,3,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[4,5,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[5,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,2,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,2,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,2,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,2,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,2,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,2,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,3,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,3,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,3,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,3,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,3,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,3,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,4,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,4,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,4,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,4,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,4,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,4,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,6,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,6,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,6,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,6,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,6,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,6,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,2,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,3,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,4,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,1,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,3,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,4,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[2,6,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,1,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,2,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,4,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[3,6,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,1,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,2,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,3,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[4,6,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[6,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,2,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,2,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,2,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,3,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,3,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,3,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,5,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,5,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,5,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,5,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,5,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,5,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,2,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,3,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,5,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,1,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,3,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,3,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,3,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,3,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,3,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,3,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[2,5,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,1,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,2,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,2,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,2,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,2,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,2,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,2,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[3,5,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[5,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,2,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,2,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,2,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,2,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,2,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,2,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,3,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,3,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,3,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,3,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,3,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,3,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,5,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,5,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,5,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,5,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,5,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,5,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,6,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,6,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,6,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,6,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,6,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,6,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,2,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,3,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,5,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,6,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,1,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,3,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,5,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[2,6,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,1,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,2,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,5,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[3,6,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,1,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,2,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,3,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[5,6,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[6,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,2,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,4,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,4,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,4,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,2,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,2,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,2,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,2,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,4,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,1,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,1,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,1,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,1,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,4,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,4,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,4,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,4,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,4,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[2,4,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,1,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,2,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,2,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,2,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,2,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,2,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,2,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,1,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,1,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,1,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,1,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,1,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,1,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,2,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,2,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,2,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,4,1,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,4,1,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[4,4,4,2,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,2,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,2,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,2,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,4,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,4,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,4,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,4,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,4,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,4,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,5,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,5,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,5,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,2,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,4,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,5,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,1,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,4,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,5,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,5,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,5,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,5,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,5,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[2,5,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,1,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,2,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,1,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,1,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,1,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,1,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,1,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,1,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,2,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,2,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,2,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,5,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,5,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,4,5,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[4,5,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[5,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,2,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,2,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,2,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,4,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,4,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,4,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,4,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,4,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,4,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,6,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,6,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,6,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,2,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,4,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,6,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,1,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,4,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,6,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,6,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,6,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,6,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,6,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[2,6,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,1,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,2,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,1,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,1,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,1,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,1,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,1,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,1,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,2,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,2,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,2,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,6,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,6,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,4,6,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[4,6,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[6,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,2,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,2,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,2,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,4,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,4,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,4,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,5,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,5,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,5,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,5,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,5,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,5,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,2,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,4,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,5,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,1,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,4,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,4,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,4,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,4,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,4,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,4,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[2,5,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,1,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,2,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,2,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,2,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,2,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,2,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,2,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[4,5,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[5,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,2,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,2,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,2,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,2,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,2,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,2,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,4,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,4,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,4,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,4,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,4,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,4,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,5,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,5,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,5,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,5,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,5,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,5,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,6,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,6,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,6,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,6,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,6,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,6,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,2,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,4,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,5,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,6,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,1,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,4,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,5,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[2,6,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,1,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,2,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,5,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[4,6,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,1,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,2,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,6,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[6,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,3,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,3,1,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,3,1,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,3,1,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,1,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,1,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,3,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,1,3,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,1,3,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,1,3,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,1,4,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,3,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,4,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,4,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,4,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,4,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,1,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,1,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,1,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,4,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,4,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,4,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,4,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,1,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,1,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,1,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,1,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,3,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,3,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,3,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,1,3,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,1,3,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,1,3,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,1,5,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,3,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,5,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,5,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,5,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,5,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,1,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,1,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,1,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,5,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,5,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,5,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,5,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,1,3,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,3,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,3,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,6,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,3,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,6,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,6,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,6,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,6,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,1,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,1,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,1,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,6,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,6,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,6,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,6,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,3,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,3,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,3,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,4,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,4,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,4,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,4,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,3,1,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,3,1,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,3,1,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,1,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,4,1,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,4,1,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,4,1,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,3,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,3,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,3,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,3,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,3,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,3,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,4,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,4,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,4,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,5,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,5,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,5,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,4,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,5,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,1,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,5,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,5,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,5,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,3,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,3,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,3,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,3,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,3,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,3,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,4,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,4,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,4,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,6,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,6,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,6,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,4,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,6,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,1,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,6,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,6,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,6,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,3,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,3,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,3,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,5,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,5,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,5,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,3,1,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,3,1,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,3,1,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,3,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,3,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,3,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,3,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,3,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,3,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,5,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,5,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,5,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,6,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,6,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,6,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,5,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,6,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,1,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,6,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,6,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,6,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,3,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,1,4,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,1,4,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,1,4,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,3,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,3,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,3,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,3,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,1,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,1,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,1,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,1,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,4,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,4,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,4,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,1,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,1,3,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,3,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,3,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,4,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,4,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,4,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,4,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,4,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,4,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,5,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,5,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,5,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,3,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,1,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,5,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,5,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,5,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,3,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,3,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,3,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,4,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,4,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,4,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,4,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,4,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,4,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,6,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,6,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,6,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,3,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,1,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,6,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,6,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,6,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,3,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,3,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,3,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,4,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,4,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,4,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,5,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,5,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,5,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,5,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,5,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,5,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,4,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,4,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,4,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,3,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,3,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,3,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,3,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,3,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,3,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,3,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,4,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,4,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,4,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,4,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,4,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,4,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,5,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,5,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,5,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,5,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,5,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,5,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,6,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,6,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,6,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,6,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,6,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,6,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,2,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 6
[2,1,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 6
[2,2,1,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 6
[2,2,2,1,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 6
[2,2,2,2,1,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 6
[2,2,2,2,2,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,2,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,2,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,2,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,1,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,1,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,1,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,1,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,1,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,1,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,1,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,2,1,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,2,1,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,2,2,1,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,2,2,3,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,2,3,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,2,3,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,3,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,3,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,2,3,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,3,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,3,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,3,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[2,3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[3,1,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[3,2,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[3,2,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[3,2,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[3,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,2,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,2,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,2,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,2,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,4,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,1,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,1,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,1,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,1,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,1,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,1,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,1,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,2,1,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,2,1,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,2,2,1,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,2,2,4,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,2,4,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,2,4,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,4,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,4,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,2,4,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,4,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,4,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,4,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[2,4,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[4,1,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[4,2,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[4,2,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[4,2,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[4,2,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,2,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,2,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,2,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,2,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,5,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,1,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,1,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,1,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,1,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,1,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,1,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,1,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,2,1,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,2,1,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,2,2,1,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,2,2,5,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,2,5,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,2,5,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,5,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,5,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,2,5,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,5,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,5,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,5,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[2,5,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[5,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[5,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[5,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[5,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[5,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,2,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,2,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,2,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,2,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,6,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,1,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,1,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,1,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,1,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,1,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,1,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,1,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,2,1,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,2,1,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,2,2,1,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,2,2,6,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,2,6,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,2,6,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,6,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,6,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,2,6,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,6,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,6,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,6,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,6,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,2,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,2,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,2,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,2,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,2,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,2,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,3,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,3,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,3,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,3,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,1,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,1,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,1,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,1,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,1,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,1,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,1,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,1,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,1,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,2,1,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,2,3,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,2,3,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,3,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,3,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,3,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,3,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,3,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,2,3,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[2,3,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,1,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,1,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,1,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,1,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,2,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,3,1,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,3,2,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,3,2,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[3,3,2,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,2,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,3,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,3,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,3,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,3,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,4,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,4,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,4,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,4,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,1,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,1,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,1,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,1,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,1,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,1,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,1,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,2,1,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,2,1,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,2,3,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,2,3,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,2,4,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,2,4,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,3,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,3,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,3,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,3,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,3,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,3,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,4,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,4,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,4,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,4,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,4,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,2,4,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,3,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[2,4,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,1,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,1,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,1,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,1,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,2,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,4,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,4,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,4,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[3,4,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,1,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,1,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,1,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,1,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,2,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,3,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,3,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,3,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[4,3,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,2,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,3,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,3,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,3,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,3,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,5,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,5,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,5,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,5,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,1,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,1,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,1,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,1,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,1,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,1,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,1,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,2,1,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,2,1,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,2,3,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,2,3,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,2,5,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,2,5,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,3,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,3,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,3,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,3,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,3,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,3,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,5,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,5,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,5,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,5,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,5,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,2,5,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,3,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[2,5,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,1,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,1,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,1,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,1,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,2,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,5,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,5,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,5,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[3,5,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[5,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,2,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,3,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,3,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,3,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,3,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,6,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,6,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,6,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,6,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,1,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,1,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,1,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,1,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,1,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,1,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,1,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,2,1,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,2,1,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,2,3,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,2,3,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,2,6,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,2,6,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,3,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,3,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,3,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,3,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,3,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,3,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,6,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,6,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,6,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,6,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,6,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,2,6,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,3,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[2,6,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,1,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,1,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,1,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,1,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,2,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,6,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,6,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,6,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[3,6,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[6,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,2,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,2,1,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,2,4,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,2,4,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,1,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,4,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,4,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,4,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,4,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,5,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,5,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,5,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,5,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,1,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,1,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,1,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,1,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,1,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,1,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,1,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,2,1,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,2,1,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,2,4,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,2,4,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,2,5,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,2,5,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,4,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,4,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,4,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,4,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,4,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,4,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,5,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,5,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,5,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,5,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,5,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,2,5,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,4,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[2,5,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,1,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,1,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,1,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,1,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,2,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,5,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,5,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,5,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[4,5,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[5,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,2,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,4,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,4,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,4,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,4,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,6,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,6,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,6,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,6,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,1,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,1,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,1,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,1,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,1,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,1,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,1,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,2,1,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,2,1,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,2,4,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,2,4,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,2,6,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,2,6,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,4,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,4,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,4,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,4,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,4,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,4,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,6,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,6,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,6,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,6,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,6,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,2,6,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,4,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[2,6,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,1,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,1,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,1,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,1,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,2,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,6,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,6,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,6,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[4,6,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[6,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,2,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,2,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,2,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,2,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,5,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,5,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,5,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,5,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,1,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,1,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,1,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,2,1,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,2,5,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,2,5,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[5,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,5,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,5,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,5,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,5,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,6,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,6,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,6,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,6,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,1,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,1,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,1,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,1,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,1,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,1,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,2,1,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,2,1,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,2,5,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,2,5,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,2,6,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,2,6,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,5,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,5,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,5,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,5,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,5,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,5,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,6,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,6,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,6,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,6,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,6,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,2,6,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,5,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,6,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,1,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,1,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,1,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,1,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,2,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,6,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,6,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,6,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,6,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[6,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,2,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,2,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,2,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,2,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,3,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,3,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,3,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,3,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,3,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,3,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,1,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,1,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,1,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,1,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,2,1,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,2,3,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,2,3,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,2,3,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[2,3,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,1,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,1,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,1,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,1,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,1,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,1,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,2,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,1,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,1,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,1,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,2,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,2,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,2,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,2,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,2,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,2,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,3,1,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,3,2,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[3,3,3,2,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,2,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,3,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,4,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,4,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,4,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,4,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,4,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,4,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,1,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,1,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,1,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,1,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,3,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,3,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,3,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,3,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,3,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,3,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,4,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,4,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,2,4,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,3,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[2,4,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,1,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,2,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,1,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,1,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,1,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,2,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,2,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,2,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,2,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,2,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,2,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,4,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,4,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,3,4,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[3,4,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,1,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,1,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,1,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,1,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,1,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,1,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,2,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[4,3,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,2,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,3,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,5,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,5,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,5,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,5,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,5,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,5,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,1,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,1,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,1,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,1,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,3,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,3,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,3,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,3,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,3,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,3,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,5,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,5,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,2,5,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,3,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[2,5,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,1,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,2,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,1,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,1,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,1,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,2,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,2,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,2,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,2,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,2,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,2,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,5,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,5,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,3,5,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[3,5,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[5,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,2,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,3,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,6,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,6,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,6,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,6,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,6,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,6,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,1,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,1,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,1,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,1,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,3,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,3,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,3,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,3,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,3,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,3,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,6,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,6,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,2,6,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,3,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[2,6,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,1,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,2,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,1,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,1,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,1,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,2,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,2,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,2,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,2,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,2,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,2,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,6,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,6,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,3,6,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[3,6,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[6,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,2,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,3,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,3,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,3,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,3,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,3,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,3,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,4,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,1,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,1,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,1,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,1,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,3,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,3,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,3,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,4,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,4,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,4,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,4,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,4,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,2,4,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,3,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[2,4,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,1,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,1,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,1,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,1,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,1,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,1,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,2,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[3,4,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,1,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,2,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,3,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,1,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,1,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,1,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,2,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,2,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,2,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,2,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,2,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,2,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,3,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,3,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[4,4,3,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,2,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,3,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,4,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,5,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,1,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,1,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,1,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,1,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,1,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,1,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,1,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,3,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,3,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,3,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,3,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,3,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,3,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,4,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,4,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,4,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,4,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,4,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,4,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,5,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,5,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,5,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,5,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,5,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,2,5,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,3,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,4,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[2,5,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,1,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,2,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,4,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[3,5,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,1,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,2,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,3,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[4,5,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[5,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,2,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,3,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,4,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,6,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,1,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,1,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,1,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,1,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,1,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,1,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,1,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,3,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,3,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,3,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,3,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,3,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,3,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,4,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,4,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,4,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,4,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,4,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,4,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,6,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,6,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,6,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,6,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,6,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,2,6,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,3,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,4,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[2,6,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,1,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,2,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,4,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[3,6,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,1,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,2,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,3,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[4,6,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[6,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,2,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,3,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,3,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,3,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,3,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,3,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,3,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,5,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,1,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,1,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,1,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,1,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,3,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,3,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,3,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,5,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,5,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,5,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,5,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,5,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,2,5,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,3,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[2,5,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,1,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,1,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,1,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,1,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,1,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,1,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,2,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[3,5,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[5,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,2,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,3,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,5,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,6,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,1,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,1,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,1,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,1,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,1,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,1,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,1,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,3,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,3,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,3,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,3,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,3,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,3,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,5,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,5,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,5,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,5,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,5,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,5,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,6,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,6,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,6,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,6,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,6,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,2,6,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,3,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,5,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[2,6,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,1,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,2,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,5,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[3,6,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,1,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,2,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,6,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[6,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,2,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,2,1,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,2,4,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,2,4,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,2,4,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,1,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,1,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,1,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,2,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,2,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,2,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,2,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,2,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,2,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,4,1,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,4,2,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,4,4,2,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,4,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,5,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,5,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,5,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,5,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,5,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,5,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,1,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,1,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,1,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,1,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,4,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,4,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,4,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,4,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,4,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,4,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,5,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,5,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,2,5,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,4,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[2,5,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,1,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,2,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,1,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,1,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,1,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,2,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,2,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,2,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,2,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,2,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,2,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,5,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,5,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,4,5,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,5,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[5,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,2,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,4,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,6,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,6,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,6,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,6,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,6,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,6,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,1,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,1,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,1,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,1,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,4,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,4,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,4,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,4,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,4,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,4,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,6,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,6,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,2,6,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,4,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[2,6,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,1,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,2,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,1,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,1,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,1,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,2,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,2,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,2,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,2,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,2,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,2,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,6,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,6,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,4,6,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[4,6,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[6,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,4,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,4,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,4,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,4,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,4,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,4,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,5,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,1,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,1,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,1,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,1,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,4,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,4,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,4,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,5,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,5,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,5,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,5,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,5,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,2,5,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,4,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[2,5,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,1,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,1,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,1,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,1,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,1,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,1,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,2,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,5,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[5,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,4,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,5,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,6,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,1,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,1,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,1,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,1,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,1,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,1,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,1,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,4,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,4,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,4,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,4,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,4,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,4,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,5,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,5,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,5,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,5,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,5,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,5,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,6,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,6,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,6,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,6,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,6,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,2,6,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,4,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,5,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[2,6,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,1,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,2,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,5,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[4,6,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,1,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,2,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,4,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[5,6,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[6,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,3,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,3,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,3,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[2,1,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[2,3,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[2,3,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[2,3,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[2,3,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,1,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,1,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,1,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,1,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,2,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,2,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,2,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,2,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,1,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,1,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,1,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,2,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,2,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,2,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,1,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,1,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,2,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,2,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,3,1,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[3,3,3,3,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,2,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,2,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,2,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,3,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,4,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,4,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,4,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,4,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,1,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,1,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,1,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,1,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,3,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,4,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,4,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,4,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[2,4,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,1,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,2,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,1,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,2,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,2,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,2,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,2,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,2,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,2,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,1,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,1,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,2,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,2,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,4,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,3,4,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,3,4,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[3,4,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,1,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,1,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,1,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,1,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,2,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,2,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,2,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,2,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[4,3,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,2,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,2,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,2,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,2,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,3,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,5,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,5,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,5,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,5,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,1,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,1,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,1,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,1,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,3,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,5,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,5,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,5,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[2,5,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,1,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,2,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,1,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,2,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,2,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,2,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,2,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,2,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,2,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,1,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,1,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,2,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,2,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,5,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,5,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,5,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,5,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[5,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,2,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,2,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,2,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,2,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,3,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,6,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,6,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,6,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,6,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,1,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,1,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,1,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,1,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,3,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,6,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,6,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,6,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,6,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,1,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,2,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,1,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,2,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,2,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,2,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,2,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,2,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,2,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,1,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,1,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,2,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,2,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,6,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,3,6,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,3,6,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[3,6,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[6,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,2,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,2,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,2,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,2,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,2,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,2,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,3,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,4,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,1,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,1,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,1,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,1,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,1,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,1,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,3,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[2,4,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,1,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,2,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,1,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,1,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,1,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,2,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,2,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,2,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,3,4,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[3,4,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,1,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,2,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,3,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,1,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,1,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,1,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,2,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,2,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,2,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[4,4,3,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,2,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,3,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,4,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,5,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,1,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,3,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,4,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[2,5,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,1,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,2,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,1,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,2,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,2,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,2,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,2,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,2,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,2,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,4,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,3,5,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,4,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[3,5,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,1,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,2,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,3,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[4,5,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[5,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,2,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,3,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,4,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,6,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,1,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,3,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,4,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[2,6,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,1,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,2,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,1,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,2,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,2,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,2,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,2,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,2,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,2,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,4,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,3,6,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,4,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[3,6,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,1,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,2,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,3,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,6,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[6,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,2,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,2,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,2,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,2,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,2,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,2,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,3,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,5,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,1,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,1,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,1,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,1,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,1,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,1,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,3,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[2,5,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,1,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,1,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,1,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,2,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,2,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,2,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,3,5,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[3,5,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[5,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,2,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,3,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,5,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,6,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,3,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,5,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,6,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,1,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,2,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,1,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,2,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,2,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,2,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,2,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,2,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,2,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,5,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,3,6,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,5,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[3,6,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,1,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,2,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,3,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[5,6,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[6,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,2,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,2,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,2,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,2,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,3,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,3,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,3,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,3,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,4,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,1,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,1,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,1,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,1,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,3,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,3,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,3,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,3,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[2,4,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,1,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,1,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,1,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,1,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,2,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,2,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,2,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,2,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[3,4,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,2,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,1,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,2,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,2,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,2,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,2,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,2,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,2,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,3,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,1,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,2,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,2,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,3,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,4,4,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,2,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,3,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,4,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,5,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,1,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,3,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,4,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[2,5,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,1,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,2,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,4,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[3,5,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,1,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,2,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,3,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,1,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,2,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,2,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,2,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,2,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,2,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,2,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,3,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,4,5,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[4,5,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,2,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,3,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,4,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,6,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,3,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,4,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,6,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,1,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,2,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,4,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[3,6,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,1,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,2,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,3,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,1,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,2,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,2,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,2,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,2,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,2,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,2,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,3,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,4,6,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[4,6,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[6,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,2,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,3,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,4,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,5,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,3,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,4,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,5,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,1,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,2,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,4,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[3,5,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,1,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,2,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,3,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[4,5,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,3,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,3,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,3,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,3,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,4,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,4,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,4,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,4,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,4,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,4,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,5,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,5,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,5,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,5,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,5,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,5,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,6,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,6,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,6,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,6,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,6,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,2,6,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,2,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,2,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,2,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,2,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,2,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,2,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,4,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,5,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,3,6,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,2,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,2,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,2,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,2,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,2,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,2,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,3,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,5,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,4,6,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,2,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,2,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,2,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,2,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,2,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,2,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,3,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,4,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,5,6,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,6,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,3,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,3,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,3,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,3,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,3,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,4,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,4,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,4,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,4,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,4,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,4,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,5,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,5,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,5,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,5,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,5,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,5,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,6,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,6,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,6,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,6,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,6,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,6,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,1,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,1,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,1,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,1,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,1,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,1,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,4,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,4,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,4,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,4,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,4,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,4,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,5,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,5,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,5,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,5,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,5,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,5,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,6,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,6,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,6,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,6,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,6,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,3,6,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,1,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,1,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,1,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,1,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,1,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,1,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,3,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,3,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,3,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,3,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,3,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,3,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,5,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,5,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,5,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,5,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,5,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,5,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,6,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,6,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,6,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,6,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,6,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,4,6,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,1,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,1,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,1,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,1,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,1,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,1,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,3,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,3,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,3,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,3,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,3,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,3,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,4,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,4,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,4,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,4,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,4,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,4,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,6,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,6,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,6,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,6,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,6,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,5,6,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,6,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,2,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,2,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,2,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,2,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,2,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,2,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,4,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,5,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,6,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,1,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,1,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,1,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,1,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,1,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,1,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,4,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,4,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,4,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,4,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,4,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,4,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,5,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,5,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,5,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,5,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,5,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,5,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,6,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,6,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,6,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,6,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,6,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,2,6,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,1,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,2,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,2,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,2,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,2,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,2,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,2,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,5,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,4,6,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,1,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,2,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,2,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,2,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,2,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,2,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,2,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,4,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,5,6,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,6,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,2,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,2,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,2,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,2,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,2,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,2,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,3,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,5,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,1,6,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,1,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,1,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,1,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,1,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,1,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,1,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,3,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,3,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,3,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,3,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,3,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,3,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,5,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,5,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,5,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,5,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,5,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,5,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,6,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,6,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,6,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,6,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,6,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,2,6,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,2,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,2,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,2,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,2,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,2,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,2,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,5,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,3,6,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,1,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,2,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,2,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,2,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,2,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,2,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,2,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,3,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5,6,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,6,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,2,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,2,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,2,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,2,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,2,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,2,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,3,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,4,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,1,6,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,1,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,1,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,1,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,1,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,1,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,1,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,3,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,3,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,3,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,3,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,3,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,3,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,4,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,4,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,4,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,4,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,4,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,4,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,6,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,6,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,6,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,6,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,6,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,2,6,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,1,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,2,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,2,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,2,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,2,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,2,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,2,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,4,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,3,6,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,1,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,2,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,2,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,2,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,2,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,2,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,2,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,4,6,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,6,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
13,3 75,34,16 541,365,255,115,20 4683,4196,3641,2421,1326,390,150
$F_{1} = q$
$F_{2} = 3\ q^{2}$
$F_{3} = 13\ q^{3} + 3\ q^{4}$
$F_{4} = 75\ q^{4} + 34\ q^{5} + 16\ q^{6}$
$F_{5} = 541\ q^{5} + 365\ q^{6} + 255\ q^{7} + 115\ q^{8} + 20\ q^{9}$
$F_{6} = 4683\ q^{6} + 4196\ q^{7} + 3641\ q^{8} + 2421\ q^{9} + 1326\ q^{10} + 390\ q^{11} + 150\ q^{12}$
Description
The sum of the heights of the peaks of a Dyck path.
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to Dyck path
Description
Sends a parking function to its support Dyck word.
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