Identifier
-
Mp00007:
Alternating sign matrices
—to Dyck path⟶
Dyck paths
St000032: Dyck paths ⟶ ℤ
Values
[[1]] => [1,0] => 1
[[1,0],[0,1]] => [1,0,1,0] => 1
[[0,1],[1,0]] => [1,1,0,0] => 2
[[1,0,0],[0,1,0],[0,0,1]] => [1,0,1,0,1,0] => 1
[[0,1,0],[1,0,0],[0,0,1]] => [1,1,0,0,1,0] => 2
[[1,0,0],[0,0,1],[0,1,0]] => [1,0,1,1,0,0] => 2
[[0,1,0],[1,-1,1],[0,1,0]] => [1,1,0,1,0,0] => 3
[[0,0,1],[1,0,0],[0,1,0]] => [1,1,1,0,0,0] => 5
[[0,1,0],[0,0,1],[1,0,0]] => [1,1,0,1,0,0] => 3
[[0,0,1],[0,1,0],[1,0,0]] => [1,1,1,0,0,0] => 5
[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]] => [1,0,1,0,1,0,1,0] => 1
[[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]] => [1,1,0,0,1,0,1,0] => 2
[[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]] => [1,0,1,1,0,0,1,0] => 2
[[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]] => [1,1,0,1,0,0,1,0] => 3
[[0,0,1,0],[1,0,0,0],[0,1,0,0],[0,0,0,1]] => [1,1,1,0,0,0,1,0] => 5
[[0,1,0,0],[0,0,1,0],[1,0,0,0],[0,0,0,1]] => [1,1,0,1,0,0,1,0] => 3
[[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]] => [1,1,1,0,0,0,1,0] => 5
[[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]] => [1,0,1,0,1,1,0,0] => 2
[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]] => [1,1,0,0,1,1,0,0] => 4
[[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]] => [1,0,1,1,0,1,0,0] => 3
[[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]] => [1,1,0,1,0,1,0,0] => 4
[[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]] => [1,1,1,0,0,1,0,0] => 7
[[0,1,0,0],[0,0,1,0],[1,0,-1,1],[0,0,1,0]] => [1,1,0,1,0,1,0,0] => 4
[[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]] => [1,1,1,0,0,1,0,0] => 7
[[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]] => [1,0,1,1,1,0,0,0] => 5
[[0,1,0,0],[1,-1,0,1],[0,1,0,0],[0,0,1,0]] => [1,1,0,1,1,0,0,0] => 7
[[0,0,1,0],[1,0,-1,1],[0,1,0,0],[0,0,1,0]] => [1,1,1,0,1,0,0,0] => 9
[[0,0,0,1],[1,0,0,0],[0,1,0,0],[0,0,1,0]] => [1,1,1,1,0,0,0,0] => 14
[[0,1,0,0],[0,0,0,1],[1,0,0,0],[0,0,1,0]] => [1,1,0,1,1,0,0,0] => 7
[[0,0,1,0],[0,1,-1,1],[1,0,0,0],[0,0,1,0]] => [1,1,1,0,1,0,0,0] => 9
[[0,0,0,1],[0,1,0,0],[1,0,0,0],[0,0,1,0]] => [1,1,1,1,0,0,0,0] => 14
[[1,0,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]] => [1,0,1,1,0,1,0,0] => 3
[[0,1,0,0],[1,-1,1,0],[0,0,0,1],[0,1,0,0]] => [1,1,0,1,0,1,0,0] => 4
[[0,0,1,0],[1,0,0,0],[0,0,0,1],[0,1,0,0]] => [1,1,1,0,0,1,0,0] => 7
[[0,1,0,0],[0,0,1,0],[1,-1,0,1],[0,1,0,0]] => [1,1,0,1,0,1,0,0] => 4
[[0,0,1,0],[0,1,0,0],[1,-1,0,1],[0,1,0,0]] => [1,1,1,0,0,1,0,0] => 7
[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]] => [1,0,1,1,1,0,0,0] => 5
[[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]] => [1,1,0,1,1,0,0,0] => 7
[[0,0,1,0],[1,0,-1,1],[0,0,1,0],[0,1,0,0]] => [1,1,1,0,1,0,0,0] => 9
[[0,0,0,1],[1,0,0,0],[0,0,1,0],[0,1,0,0]] => [1,1,1,1,0,0,0,0] => 14
[[0,1,0,0],[0,0,0,1],[1,-1,1,0],[0,1,0,0]] => [1,1,0,1,1,0,0,0] => 7
[[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]] => [1,1,1,0,1,0,0,0] => 9
[[0,0,0,1],[0,1,0,0],[1,-1,1,0],[0,1,0,0]] => [1,1,1,1,0,0,0,0] => 14
[[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]] => [1,1,1,0,1,0,0,0] => 9
[[0,0,0,1],[0,0,1,0],[1,0,0,0],[0,1,0,0]] => [1,1,1,1,0,0,0,0] => 14
[[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0]] => [1,1,0,1,0,1,0,0] => 4
[[0,0,1,0],[0,1,0,0],[0,0,0,1],[1,0,0,0]] => [1,1,1,0,0,1,0,0] => 7
[[0,1,0,0],[0,0,0,1],[0,0,1,0],[1,0,0,0]] => [1,1,0,1,1,0,0,0] => 7
[[0,0,1,0],[0,1,-1,1],[0,0,1,0],[1,0,0,0]] => [1,1,1,0,1,0,0,0] => 9
[[0,0,0,1],[0,1,0,0],[0,0,1,0],[1,0,0,0]] => [1,1,1,1,0,0,0,0] => 14
[[0,0,1,0],[0,0,0,1],[0,1,0,0],[1,0,0,0]] => [1,1,1,0,1,0,0,0] => 9
[[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]] => [1,1,1,1,0,0,0,0] => 14
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,0,1,0,1,0,1,0,1,0] => 1
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,0,1,0,1,0,1,0] => 2
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,0,1,1,0,0,1,0,1,0] => 2
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0] => 3
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0] => 3
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0] => 5
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,0,1,1,0,0,1,0] => 2
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,0,1,1,0,0,1,0] => 4
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0] => 3
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => 4
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => 4
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => 7
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0] => 5
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => 7
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => 9
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => 7
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => 9
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => 14
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0] => 3
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => 4
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => 4
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => 7
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0] => 5
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => 7
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => 9
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => 7
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => 9
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => 14
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => 9
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => 4
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => 7
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => 9
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => 14
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => 9
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => 14
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,0] => 2
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,0,1,0,1,1,0,0] => 4
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,0,1,1,0,0,1,1,0,0] => 4
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,0] => 6
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,0] => 10
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,0] => 6
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,0] => 10
>>> Load all 8685 entries. <<<[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,0] => 3
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,0,1,1,0,1,0,0] => 6
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,0,1,1,1,0,0,0] => 5
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,0,1,1,1,0,0,0] => 10
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,0] => 3
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,0,1,1,0,1,0,0] => 6
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,0] => 5
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,0] => 10
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => 9
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => 12
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => 9
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => 12
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => 19
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => 14
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => 23
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => 23
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => 28
[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => 42
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 2
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 5
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 5
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 2
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 4
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 3
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 9
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 14
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 9
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 3
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 9
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 14
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 9
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 14
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 9
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 14
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 7
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 9
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 14
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 9
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 14
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,0,1,1,0,0,1,0] => 2
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 4
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 4
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 10
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 10
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 3
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 5
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 10
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 3
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 5
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 10
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 14
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 5
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 9
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 12
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 19
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 16
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 12
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 19
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 14
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 23
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 23
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 28
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,0] => 2
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,0,1,0,1,0,1,1,0,0] => 4
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 4
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 10
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 10
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 4
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 8
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 6
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 14
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 14
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 10
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 14
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 28
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 14
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 6
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 14
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 14
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 10
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 14
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 28
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 14
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 28
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 28
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 8
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 14
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 14
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 28
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 28
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 3
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 6
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 6
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 9
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 15
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 15
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,1,0,0,0] => 5
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 10
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 10
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 25
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 25
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 18
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 18
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 3
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 6
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 6
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 9
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 15
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 9
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 15
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,0,1,1,1,0,0,0] => 5
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 10
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 10
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 25
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 25
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 18
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 18
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 18
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 8
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 7
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 14
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 18
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 18
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 14
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 28
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 12
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 9
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 16
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 12
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 19
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 14
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 23
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 28
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 11
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 15
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 24
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 15
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 24
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 18
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 30
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 30
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 37
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 56
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 11
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 20
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 20
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 27
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 15
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 24
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 43
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 18
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 30
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 37
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 56
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 20
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 34
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 43
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 66
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 34
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 57
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 43
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 66
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 48
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 76
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 76
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 90
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[1,0,0,0,0,-1,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 132
[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 10
[[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 10
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 132
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,1,0,0,0,0,0],[1,-1,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1],[0,0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,0,-1,0,0,0,1],[0,0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,-1,0,0,1],[0,0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1],[0,0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,-1,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,1,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,-1,0,1,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,-1,0,0,1,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,-1,0,1,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,-1,0,1,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[1,0,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,1,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,1,0,-1,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,-1,0,1,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,1,-1,0,1,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,-1,0,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,1,0,-1,1,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,1,0,-1,0,1,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,-1,0,1],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[1,-1,1,-1,0,1,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[1,-1,1,-1,0,0,1],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[1,-1,0,1,-1,0,1],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,-1,0,0,1,-1,1],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[1,0,0,-1,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[1,0,0,-1,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[1,0,0,-1,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,-1,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[1,0,-1,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[1,0,-1,1,-1,0,1],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,0,-1,0,1,-1,1],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,1,0,-1,1,-1,1],[1,-1,1,0,-1,1,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[1,-1,1,0,-1,0,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[1,-1,0,1,0,-1,1],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[1,0,0,0,-1,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,-1,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[1,0,-1,1,0,-1,1],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[1,-1,1,0,0,-1,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,1,0,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,1,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,1,0,-1,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,1,0,0,-1,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,1,0,-1,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,1,0,-1,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,1,0,0,-1,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[[0,0,0,0,0,1,0],[1,0,0,0,0,-1,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[1,0,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[[0,0,0,1,0,0,0],[1,0,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[[0,0,1,0,0,0,0],[1,0,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,1,0,-1,1,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,2,0,2 1,3,4,6,4,0,10,0,7,0,0,0,0,7 1,4,6,13,20,4,20,0,56,4,0,42,0,49,0,14,0,0,42,0,0,0,70,0,0,0,0,42,0,0,0,0,0,0,0,0,0,0,0,0,0,42
$F_{1} = q$
$F_{2} = q + q^{2}$
$F_{3} = q + 2\ q^{2} + 2\ q^{3} + 2\ q^{5}$
$F_{4} = q + 3\ q^{2} + 4\ q^{3} + 6\ q^{4} + 4\ q^{5} + 10\ q^{7} + 7\ q^{9} + 7\ q^{14}$
$F_{5} = q + 4\ q^{2} + 6\ q^{3} + 13\ q^{4} + 20\ q^{5} + 4\ q^{6} + 20\ q^{7} + 56\ q^{9} + 4\ q^{10} + 42\ q^{12} + 49\ q^{14} + 14\ q^{16} + 42\ q^{19} + 70\ q^{23} + 42\ q^{28} + 42\ q^{42}$
$F_{6} = q + 5\ q^{2} + 8\ q^{3} + 21\ q^{4} + 36\ q^{5} + 54\ q^{6} + 30\ q^{7} + 11\ q^{8} + 109\ q^{9} + 12\ q^{10} + 168\ q^{11} + 84\ q^{12} + 111\ q^{14} + 206\ q^{15} + 28\ q^{16} + 252\ q^{18} + 84\ q^{19} + 345\ q^{20} + 140\ q^{23} + 198\ q^{24} + 4\ q^{25} + 130\ q^{27} + 98\ q^{28} + 476\ q^{30} + 657\ q^{34} + 294\ q^{37} + 84\ q^{42} + 694\ q^{43} + 387\ q^{48} + 294\ q^{56} + 219\ q^{57} + 564\ q^{66} + 774\ q^{76} + 429\ q^{90} + 429\ q^{132}$
Description
The number of elements smaller than the given Dyck path in the Tamari Order.
Map
to Dyck path
Description
The Dyck path determined by the last diagonal of the monotone triangle of an alternating sign matrix.
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