Identifier
-
Mp00035:
Dyck paths
—to alternating sign matrix⟶
Alternating sign matrices
Mp00002: Alternating sign matrices —to left key permutation⟶ Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
St001663: Permutations ⟶ ℤ
Values
[1,0] => [[1]] => [1] => [1] => 0
[1,0,1,0] => [[1,0],[0,1]] => [1,2] => [1,2] => 0
[1,1,0,0] => [[0,1],[1,0]] => [2,1] => [1,2] => 0
[1,0,1,0,1,0] => [[1,0,0],[0,1,0],[0,0,1]] => [1,2,3] => [1,2,3] => 0
[1,0,1,1,0,0] => [[1,0,0],[0,0,1],[0,1,0]] => [1,3,2] => [1,2,3] => 0
[1,1,0,0,1,0] => [[0,1,0],[1,0,0],[0,0,1]] => [2,1,3] => [1,2,3] => 0
[1,1,0,1,0,0] => [[0,1,0],[1,-1,1],[0,1,0]] => [1,3,2] => [1,2,3] => 0
[1,1,1,0,0,0] => [[0,0,1],[1,0,0],[0,1,0]] => [3,1,2] => [1,3,2] => 1
[1,0,1,0,1,0,1,0] => [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]] => [1,2,3,4] => [1,2,3,4] => 0
[1,0,1,0,1,1,0,0] => [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]] => [1,2,4,3] => [1,2,3,4] => 0
[1,0,1,1,0,0,1,0] => [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]] => [1,3,2,4] => [1,2,3,4] => 0
[1,0,1,1,0,1,0,0] => [[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]] => [1,2,4,3] => [1,2,3,4] => 0
[1,0,1,1,1,0,0,0] => [[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]] => [1,4,2,3] => [1,2,4,3] => 1
[1,1,0,0,1,0,1,0] => [[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]] => [2,1,3,4] => [1,2,3,4] => 0
[1,1,0,0,1,1,0,0] => [[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]] => [2,1,4,3] => [1,2,3,4] => 0
[1,1,0,1,0,0,1,0] => [[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]] => [1,3,2,4] => [1,2,3,4] => 0
[1,1,0,1,0,1,0,0] => [[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]] => [1,2,4,3] => [1,2,3,4] => 0
[1,1,0,1,1,0,0,0] => [[0,1,0,0],[1,-1,0,1],[0,1,0,0],[0,0,1,0]] => [1,4,2,3] => [1,2,4,3] => 1
[1,1,1,0,0,0,1,0] => [[0,0,1,0],[1,0,0,0],[0,1,0,0],[0,0,0,1]] => [3,1,2,4] => [1,3,2,4] => 1
[1,1,1,0,0,1,0,0] => [[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]] => [2,1,4,3] => [1,2,3,4] => 0
[1,1,1,0,1,0,0,0] => [[0,0,1,0],[1,0,-1,1],[0,1,0,0],[0,0,1,0]] => [1,4,2,3] => [1,2,4,3] => 1
[1,1,1,1,0,0,0,0] => [[0,0,0,1],[1,0,0,0],[0,1,0,0],[0,0,1,0]] => [4,1,2,3] => [1,4,3,2] => 0
[1,0,1,0,1,0,1,0,1,0] => [[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]] => [1,2,3,4,5] => [1,2,3,4,5] => 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],[0,0,0,0,1],[0,0,0,1,0]] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,0,1,0,1,1,0,0,1,0] => [[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]] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,0,1,0,1,1,0,1,0,0] => [[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]] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,0,1,0,1,1,1,0,0,0] => [[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]] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,0,1,1,0,0,1,0,1,0] => [[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]] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[1,0,1,1,0,0,1,1,0,0] => [[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,0,1,1,0,1,0,0,1,0] => [[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]] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,0,1,1,0,1,0,1,0,0] => [[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]] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,0,1,1,0,1,1,0,0,0] => [[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]] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,0,1,1,1,0,0,0,1,0] => [[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]] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,0,1,1,1,0,0,1,0,0] => [[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,0,1,1,1,0,1,0,0,0] => [[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]] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,0,1,1,1,1,0,0,0,0] => [[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]] => [1,5,2,3,4] => [1,2,5,4,3] => 0
[1,1,0,0,1,0,1,0,1,0] => [[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]] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[1,1,0,0,1,0,1,1,0,0] => [[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]] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[1,1,0,0,1,1,0,0,1,0] => [[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]] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[1,1,0,0,1,1,0,1,0,0] => [[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]] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[1,1,0,0,1,1,1,0,0,0] => [[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]] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[1,1,0,1,0,0,1,0,1,0] => [[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]] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[1,1,0,1,0,0,1,1,0,0] => [[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]] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,1,0,1,0,1,0,0,1,0] => [[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]] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,1,0,1,0,1,0,1,0,0] => [[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,1,0,1,0,1,1,0,0,0] => [[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]] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,1,0,1,1,0,0,0,1,0] => [[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]] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,1,0,1,1,0,0,1,0,0] => [[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]] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,1,0,1,1,0,1,0,0,0] => [[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]] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,1,0,1,1,1,0,0,0,0] => [[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]] => [1,5,2,3,4] => [1,2,5,4,3] => 0
[1,1,1,0,0,0,1,0,1,0] => [[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]] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[1,1,1,0,0,0,1,1,0,0] => [[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]] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[1,1,1,0,0,1,0,0,1,0] => [[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]] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[1,1,1,0,0,1,0,1,0,0] => [[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]] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[1,1,1,0,0,1,1,0,0,0] => [[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]] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[1,1,1,0,1,0,0,0,1,0] => [[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]] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,1,1,0,1,0,0,1,0,0] => [[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]] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,1,1,0,1,0,1,0,0,0] => [[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]] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,1,1,0,1,1,0,0,0,0] => [[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]] => [1,5,2,3,4] => [1,2,5,4,3] => 0
[1,1,1,1,0,0,0,0,1,0] => [[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]] => [4,1,2,3,5] => [1,4,3,2,5] => 0
[1,1,1,1,0,0,0,1,0,0] => [[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]] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[1,1,1,1,0,0,1,0,0,0] => [[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]] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[1,1,1,1,0,1,0,0,0,0] => [[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]] => [1,5,2,3,4] => [1,2,5,4,3] => 0
[1,1,1,1,1,0,0,0,0,0] => [[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]] => [5,1,2,3,4] => [1,5,4,3,2] => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,0,1,1,0,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,0,1,1,0,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,0,1,1,1,0,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,0,1,1,0,0,1,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,1,0,0,1,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,1,0,1,0,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,1,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,1,0,1,1,0,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,0,1,1,1,0,0,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,0,1,0,1,1,1,0,0,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 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],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,0,1,1,0,0,1,0,1,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,0,1,0,1,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,0,1,1,0,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,0,1,1,0,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,0,1,1,1,0,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,1,0,1,0,0,1,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,1,0,0,1,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,1,0,1,0,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,1,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,1,0,1,1,0,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[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,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,0,1,1,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,1,0,1,1,0,1,0,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,1,0,1,1,1,0,0,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,0,1,1,1,0,0,0,1,0,1,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,0,1,1,1,0,0,0,1,1,0,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,0,1,1,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,0,1,1,1,0,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,1,1,0,0,1,1,0,0,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,1,1,0,1,0,0,0,1,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,0,1,1,1,0,1,0,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,0,1,1,1,0,1,0,1,0,0,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => [[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],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
>>> Load all 619 entries. <<<[1,0,1,1,1,1,0,0,0,0,1,0] => [[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 0
[1,0,1,1,1,1,0,0,0,1,0,0] => [[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,0,1,1,1,1,0,0,1,0,0,0] => [[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,0,1,1,1,1,0,1,0,0,0,0] => [[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,0,1,1,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 0
[1,1,0,0,1,0,1,0,1,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,0,1,0,1,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,0,1,1,0,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,0,1,1,0,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,0,1,1,1,0,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,0,1,1,0,0,1,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,1,0,0,1,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,1,0,1,0,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,1,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,0,1,1,0,1,1,0,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,0,1,1,1,0,0,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,1,0,0,1,1,1,0,0,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 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],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,0,1,1,1,1,0,0,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,0,1,0,0,1,0,1,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,0,1,0,1,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,0,1,1,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,0,1,1,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,0,1,1,1,0,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,1,0,1,0,0,1,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,1,0,1,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,1,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,1,0,1,1,0,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[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,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,1,0,1,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,1,0,1,1,0,1,0,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,1,0,1,1,1,0,0,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,0,1,1,0,0,0,1,0,1,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,1,0,1,1,0,0,0,1,1,0,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,1,0,1,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,1,0,1,1,0,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,1,1,0,0,1,1,0,0,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,1,1,0,1,0,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,1,0,1,1,0,1,0,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,0,1,1,0,1,0,1,0,0,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,1,1,0,1,1,0,0,0,0] => [[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],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,0,1,1,1,0,0,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 0
[1,1,0,1,1,1,0,0,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,1,0,1,1,1,0,0,1,0,0,0] => [[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,0,1,1,1,0,1,0,0,0,0] => [[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,0,1,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 0
[1,1,1,0,0,0,1,0,1,0,1,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[1,1,1,0,0,0,1,0,1,1,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[1,1,1,0,0,0,1,1,0,1,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 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],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[1,1,1,0,0,1,0,0,1,0,1,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,1,1,0,0,1,0,0,1,1,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,1,0,0,1,0,1,0,0,1,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,1,1,0,0,1,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,1,0,0,1,0,1,1,0,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,1,1,0,0,1,1,0,0,1,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,1,0,0,1,1,0,1,0,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,1,0,0,1,1,1,0,0,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,1,0,1,0,0,0,1,0,1,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,1,1,0,1,0,0,0,1,1,0,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,1,1,0,1,0,0,1,0,0,1,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,1,1,0,1,0,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,1,1,0,1,0,0,1,1,0,0,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,1,0,1,0,1,0,0,0,1,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,1,1,0,1,0,1,0,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,1,0,1,0,1,0,1,0,0,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,1,0,1,0,1,1,0,0,0,0] => [[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],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,1,0,1,1,0,0,0,0,1,0] => [[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 0
[1,1,1,0,1,1,0,0,0,1,0,0] => [[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,1,1,0,1,1,0,0,1,0,0,0] => [[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,1,0,1,1,0,1,0,0,0,0] => [[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,1,0,1,1,1,0,0,0,0,0] => [[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 0
[1,1,1,1,0,0,0,0,1,0,1,0] => [[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 0
[1,1,1,1,0,0,0,0,1,1,0,0] => [[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 0
[1,1,1,1,0,0,0,1,0,0,1,0] => [[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[1,1,1,1,0,0,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => [[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[1,1,1,1,0,0,1,0,0,0,1,0] => [[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,1,1,1,0,0,1,0,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,1,1,1,0,0,1,0,1,0,0,0] => [[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [[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],[0,0,0,0,1,0]] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,1,1,0,1,0,0,0,0,1,0] => [[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 0
[1,1,1,1,0,1,0,0,0,1,0,0] => [[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,-1,1],[0,0,0,0,1,0]] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => [[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [[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]] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,1,1,0,1,1,0,0,0,0,0] => [[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],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 0
[1,1,1,1,1,0,0,0,0,0,1,0] => [[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 0
[1,1,1,1,1,0,0,0,0,1,0,0] => [[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 0
[1,1,1,1,1,0,0,0,1,0,0,0] => [[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => [[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,1,1,1,1,0,1,0,0,0,0,0] => [[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 0
[1,1,1,1,1,1,0,0,0,0,0,0] => [[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[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]] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[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]] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[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]] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-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]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[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,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[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],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[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,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-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]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[1,0,0,0,0,0,0],[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,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[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]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,0,1,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[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],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[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],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[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]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[1,0,0,0,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[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]] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[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]] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[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]] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[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],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[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],[0,0,0,0,0,0,1]] => [2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[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]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[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]] => [2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[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]] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-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]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[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,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[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]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-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]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[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,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[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],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[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]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,0,1,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[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],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[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]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,0,1],[0,1,0,0,0,0,0],[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]] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-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]] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-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]] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-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]] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-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]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[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],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[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],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[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],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[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],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[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,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[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,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[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,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,0,1,0],[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]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[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],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[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,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[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,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[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,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[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,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,0,1,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,-1,1,0],[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]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,-1,0,1],[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]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => 0
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[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],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[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,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[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]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,0,0,1],[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],[0,0,0,0,0,1,0]] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[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],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [4,1,2,3,5,6,7] => [1,4,3,2,5,6,7] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-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]] => [3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => 1
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-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]] => [3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-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]] => [3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[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],[0,0,0,0,0,0,1]] => [2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,0,1,0],[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]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[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],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[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,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[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,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[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,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[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,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[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,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[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,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[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,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,1,0,0,-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]] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[0,0,0,1,0,0,0],[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[0,0,0,1,0,0,0],[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],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[0,0,0,1,0,0,0],[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,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,0,1,0],[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]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[0,0,0,1,0,0,0],[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],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[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],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[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,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => 2
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[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,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[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,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[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,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,-1,0,1],[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]] => [2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,-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]] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,-1,0,1],[0,1,0,0,0,0,0],[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]] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,1,0,0,0,-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]] => [2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[0,0,0,0,0,1,0],[1,0,0,0,0,-1,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 0
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1 10,4 27,15 79,50,3
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 4 + q$
$F_{4} = 10 + 4\ q$
$F_{5} = 27 + 15\ q$
$F_{6} = 79 + 50\ q + 3\ q^{2}$
Description
The number of occurrences of the Hertzsprung pattern 132 in a permutation.
A Hertzsprung occurrence of the pattern $\tau=(\tau_1,\dots,\tau_k)$ in a permutation $\pi$ is a factor $\pi_i, \pi_{i+1}, \dots,\pi_{i+k-1}$ of $\pi$ such that $\pi_{i+j-1} - \tau_j$ is constant for $1\leq j\leq k$.
A Hertzsprung occurrence of the pattern $\tau=(\tau_1,\dots,\tau_k)$ in a permutation $\pi$ is a factor $\pi_i, \pi_{i+1}, \dots,\pi_{i+k-1}$ of $\pi$ such that $\pi_{i+j-1} - \tau_j$ is constant for $1\leq j\leq k$.
Map
to left key permutation
Description
Return the permutation of the left key of an alternating sign matrix.
This was originally defined by Lascoux and then further studied by Aval [1].
This was originally defined by Lascoux and then further studied by Aval [1].
Map
to alternating sign matrix
Description
Return the Dyck path as an alternating sign matrix.
This is an inclusion map from Dyck words of length $2n$ to certain
$n \times n$ alternating sign matrices.
This is an inclusion map from Dyck words of length $2n$ to certain
$n \times n$ alternating sign matrices.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!