Identifier
-
Mp00324:
Graphs
—chromatic difference sequence⟶
Integer compositions
Mp00180: Integer compositions —to ribbon⟶ Skew partitions
Mp00182: Skew partitions —outer shape⟶ Integer partitions
St000257: Integer partitions ⟶ ℤ
Values
([],1) => [1] => [[1],[]] => [1] => 0
([],2) => [2] => [[2],[]] => [2] => 0
([(0,1)],2) => [1,1] => [[1,1],[]] => [1,1] => 1
([],3) => [3] => [[3],[]] => [3] => 0
([(1,2)],3) => [2,1] => [[2,2],[1]] => [2,2] => 1
([(0,2),(1,2)],3) => [2,1] => [[2,2],[1]] => [2,2] => 1
([(0,1),(0,2),(1,2)],3) => [1,1,1] => [[1,1,1],[]] => [1,1,1] => 1
([],4) => [4] => [[4],[]] => [4] => 0
([(2,3)],4) => [3,1] => [[3,3],[2]] => [3,3] => 1
([(1,3),(2,3)],4) => [3,1] => [[3,3],[2]] => [3,3] => 1
([(0,3),(1,3),(2,3)],4) => [3,1] => [[3,3],[2]] => [3,3] => 1
([(0,3),(1,2)],4) => [2,2] => [[3,2],[1]] => [3,2] => 0
([(0,3),(1,2),(2,3)],4) => [2,2] => [[3,2],[1]] => [3,2] => 0
([(1,2),(1,3),(2,3)],4) => [2,1,1] => [[2,2,2],[1,1]] => [2,2,2] => 1
([(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [[2,2,2],[1,1]] => [2,2,2] => 1
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [[3,2],[1]] => [3,2] => 0
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [[2,2,2],[1,1]] => [2,2,2] => 1
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => [[1,1,1,1],[]] => [1,1,1,1] => 1
([],5) => [5] => [[5],[]] => [5] => 0
([(3,4)],5) => [4,1] => [[4,4],[3]] => [4,4] => 1
([(2,4),(3,4)],5) => [4,1] => [[4,4],[3]] => [4,4] => 1
([(1,4),(2,4),(3,4)],5) => [4,1] => [[4,4],[3]] => [4,4] => 1
([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => [[4,4],[3]] => [4,4] => 1
([(1,4),(2,3)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(1,4),(2,3),(3,4)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(0,1),(2,4),(3,4)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,3,3],[2,2]] => [3,3,3] => 1
([(0,4),(1,4),(2,3),(3,4)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,3,3],[2,2]] => [3,3,3] => 1
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,3,3],[2,2]] => [3,3,3] => 1
([(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,3,3],[2,2]] => [3,3,3] => 1
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,3,3],[2,2]] => [3,3,3] => 1
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,3,3],[2,2]] => [3,3,3] => 1
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,3,3],[2,2]] => [3,3,3] => 1
([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => [[4,3],[2]] => [4,3] => 0
([(0,1),(2,3),(2,4),(3,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [2,2,2,2] => 1
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [2,2,2,2] => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [2,2,2,2] => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [2,2,1] => [[3,3,2],[2,1]] => [3,3,2] => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [2,2,2,2] => 1
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [[1,1,1,1,1],[]] => [1,1,1,1,1] => 1
([],6) => [6] => [[6],[]] => [6] => 0
([(4,5)],6) => [5,1] => [[5,5],[4]] => [5,5] => 1
([(3,5),(4,5)],6) => [5,1] => [[5,5],[4]] => [5,5] => 1
([(2,5),(3,5),(4,5)],6) => [5,1] => [[5,5],[4]] => [5,5] => 1
([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [[5,5],[4]] => [5,5] => 1
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [[5,5],[4]] => [5,5] => 1
([(2,5),(3,4)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(2,5),(3,4),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(1,2),(3,5),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,5),(1,5),(2,4),(3,4)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,4,4],[3,3]] => [4,4,4] => 1
([(0,5),(1,4),(2,3)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => [[5,4],[3]] => [5,4] => 0
([(0,1),(2,5),(3,4),(4,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
>>> Load all 1252 entries. <<<([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,1,2] => [[4,3,3],[2,2]] => [4,3,3] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,3] => [[5,3],[2]] => [5,3] => 0
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [3,3,3,3] => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [3,2,1] => [[4,4,3],[3,2]] => [4,4,3] => 1
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [2,2,2,2,2] => 1
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [2,2,2,2,2] => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [2,2,2,2,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [2,2,2,2,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [[4,3,2],[2,1]] => [4,3,2] => 0
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [3,3,3,2] => 1
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [2,2,2,2,2] => 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [[1,1,1,1,1,1],[]] => [1,1,1,1,1,1] => 1
([],7) => [7] => [[7],[]] => [7] => 0
([(5,6)],7) => [6,1] => [[6,6],[5]] => [6,6] => 1
([(4,6),(5,6)],7) => [6,1] => [[6,6],[5]] => [6,6] => 1
([(3,6),(4,6),(5,6)],7) => [6,1] => [[6,6],[5]] => [6,6] => 1
([(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [[6,6],[5]] => [6,6] => 1
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [[6,6],[5]] => [6,6] => 1
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [[6,6],[5]] => [6,6] => 1
([(3,6),(4,5)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(3,6),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(2,3),(4,6),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,2),(3,6),(4,6),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,5,5],[4,4]] => [5,5,5] => 1
([(1,6),(2,5),(3,4)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => [[6,5],[4]] => [6,5] => 0
([(1,2),(3,6),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,3),(1,2),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [[5,4,4],[3,3]] => [5,4,4] => 1
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [[5,4,4],[3,3]] => [5,4,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [[5,4,4],[3,3]] => [5,4,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [4,4,4,4] => 1
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [[5,5,4],[4,3]] => [5,5,4] => 1
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,3),(0,4),(1,2),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [4,3] => [[6,4],[3]] => [6,4] => 0
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,2),(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,2),(1,5),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,4),(0,6),(1,2),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,2),(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,2),(0,6),(1,2),(1,4),(1,5),(2,3),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,2),(0,5),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,2),(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [4,4,3,3] => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [4,4,3,3] => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [[5,5,3],[4,2]] => [5,5,3] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [3,3,3,3,3] => 1
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [4,4,4,3] => 1
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,2] => [[5,4,3],[3,2]] => [5,4,3] => 0
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [2,2,2,2,2,2] => 1
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [2,2,2,2,2,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [2,2,2,2,2,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [2,2,2,2,2,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [2,2,2,2,2,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [4,4,3,2] => 1
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [3,3,3,3,2] => 1
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [2,2,2,2,2,2] => 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1],[]] => [1,1,1,1,1,1,1] => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,3 4,7 9,25 44,112 263,779,2
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 3\ q$
$F_{4} = 4 + 7\ q$
$F_{5} = 9 + 25\ q$
$F_{6} = 44 + 112\ q$
$F_{7} = 263 + 779\ q + 2\ q^{2}$
Description
The number of distinct parts of a partition that occur at least twice.
See Section 3.3.1 of [2].
See Section 3.3.1 of [2].
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outer shape
Description
The outer shape of the skew partition.
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to ribbon
Description
The ribbon shape corresponding to an integer composition.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.
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chromatic difference sequence
Description
The chromatic difference sequence of a graph.
Let $G$ be a simple graph with chromatic number $\kappa$. Let $\alpha_m$ be the maximum number of vertices in a $m$-colorable subgraph of $G$. Set $\delta_m=\alpha_m-\alpha_{m-1}$. The sequence $\delta_1,\delta_2,\dots\delta_\kappa$ is the chromatic difference sequence of $G$.
All entries of the chromatic difference sequence are positive: $\alpha_m > \alpha_{m-1}$ for $m < \kappa$, because we can assign any uncolored vertex of a partial coloring with $m-1$ colors the color $m$. Therefore, the chromatic difference sequence is a composition of the number of vertices of $G$ into $\kappa$ parts.
Let $G$ be a simple graph with chromatic number $\kappa$. Let $\alpha_m$ be the maximum number of vertices in a $m$-colorable subgraph of $G$. Set $\delta_m=\alpha_m-\alpha_{m-1}$. The sequence $\delta_1,\delta_2,\dots\delta_\kappa$ is the chromatic difference sequence of $G$.
All entries of the chromatic difference sequence are positive: $\alpha_m > \alpha_{m-1}$ for $m < \kappa$, because we can assign any uncolored vertex of a partial coloring with $m-1$ colors the color $m$. Therefore, the chromatic difference sequence is a composition of the number of vertices of $G$ into $\kappa$ parts.
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