Identifier
-
Mp00110:
Posets
—Greene-Kleitman invariant⟶
Integer partitions
Mp00043: Integer partitions —to Dyck path⟶ Dyck paths
Mp00233: Dyck paths —skew partition⟶ Skew partitions
St001490: Skew partitions ⟶ ℤ
Values
([],1) => [1] => [1,0,1,0] => [[1,1],[]] => 1
([],2) => [1,1] => [1,0,1,1,0,0] => [[2,1],[]] => 1
([(0,1)],2) => [2] => [1,1,0,0,1,0] => [[2,2],[1]] => 1
([],3) => [1,1,1] => [1,0,1,1,1,0,0,0] => [[2,2,1],[]] => 1
([(1,2)],3) => [2,1] => [1,0,1,0,1,0] => [[1,1,1],[]] => 1
([(0,1),(0,2)],3) => [2,1] => [1,0,1,0,1,0] => [[1,1,1],[]] => 1
([(0,2),(2,1)],3) => [3] => [1,1,1,0,0,0,1,0] => [[2,2,2],[1]] => 1
([(0,2),(1,2)],3) => [2,1] => [1,0,1,0,1,0] => [[1,1,1],[]] => 1
([(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
([(1,2),(1,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
([(0,1),(0,2),(0,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
([(0,2),(0,3),(3,1)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
([(0,1),(0,2),(1,3),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
([(1,2),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
([(0,3),(3,1),(3,2)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
([(1,3),(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
([(0,3),(1,3),(3,2)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
([(0,3),(1,3),(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
([(0,3),(1,2)],4) => [2,2] => [1,1,0,0,1,1,0,0] => [[3,2],[1]] => 1
([(0,3),(1,2),(1,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => [[3,2],[1]] => 1
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => [[3,2],[1]] => 1
([(0,3),(1,2),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
([(0,2),(0,3),(0,4),(4,1)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(1,3),(1,4),(4,2)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,3),(0,4),(4,1),(4,2)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(1,2),(1,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,3),(0,4),(3,2),(4,1)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(1,4),(4,2),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,4),(4,1),(4,2),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(1,4),(2,4),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,4),(1,4),(4,2),(4,3)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,4),(1,4),(2,4),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,4),(1,4),(2,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,4),(1,3),(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,4),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,4),(1,4),(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(1,4),(2,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,4),(1,2),(1,4),(2,3)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,4),(1,2),(1,4),(4,3)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,4),(1,2),(1,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,4),(1,2),(1,3),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,4),(1,2),(1,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,3),(0,4),(1,2),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,3),(1,2),(1,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(1,4),(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
([(0,3),(1,4),(4,2)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,4),(1,2),(2,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,3),(1,2),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,4),(1,5),(4,3),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,5),(2,5),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(2,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,5),(2,3),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
>>> Load all 1612 entries. <<<([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,5),(2,3),(2,5),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,3),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,4),(2,3),(2,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(1,4),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,5),(5,2),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(2,5),(2,6),(5,4),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,6),(3,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,6),(3,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,6),(3,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,3),(1,4),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,3),(2,4),(2,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(1,5),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(2,4),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(1,6),(2,3),(2,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(2,3),(2,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,4),(2,5),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(2,3),(2,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(2,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,5),(2,6),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,3),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,6),(6,2),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,4),(2,3),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(5,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(5,4),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,3),(2,6),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(2,6),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,4),(5,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,3),(2,6),(3,5),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,5),(5,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(1,6),(2,5),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,4),(1,6),(5,3),(6,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10) => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10) => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => 1
([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8) => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
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Generating function
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 5\ q$
Description
The number of connected components of a skew partition.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Map
Greene-Kleitman invariant
Description
The Greene-Kleitman invariant of a poset.
This is the partition $(c_1 - c_0, c_2 - c_1, c_3 - c_2, \ldots)$, where $c_k$ is the maximum cardinality of a union of $k$ chains of the poset. Equivalently, this is the conjugate of the partition $(a_1 - a_0, a_2 - a_1, a_3 - a_2, \ldots)$, where $a_k$ is the maximum cardinality of a union of $k$ antichains of the poset.
This is the partition $(c_1 - c_0, c_2 - c_1, c_3 - c_2, \ldots)$, where $c_k$ is the maximum cardinality of a union of $k$ chains of the poset. Equivalently, this is the conjugate of the partition $(a_1 - a_0, a_2 - a_1, a_3 - a_2, \ldots)$, where $a_k$ is the maximum cardinality of a union of $k$ antichains of the poset.
Map
skew partition
Description
The parallelogram polyomino corresponding to a Dyck path, interpreted as a skew partition.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
This map returns the skew partition definded by the diagram of $\gamma(D)$.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
This map returns the skew partition definded by the diagram of $\gamma(D)$.
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