Identifier
-
Mp00324:
Graphs
—chromatic difference sequence⟶
Integer compositions
Mp00040: Integer compositions —to partition⟶ Integer partitions
Mp00045: Integer partitions —reading tableau⟶ Standard tableaux
St000738: Standard tableaux ⟶ ℤ
Values
([],1) => [1] => [1] => [[1]] => 1
([],2) => [2] => [2] => [[1,2]] => 1
([(0,1)],2) => [1,1] => [1,1] => [[1],[2]] => 2
([],3) => [3] => [3] => [[1,2,3]] => 1
([(1,2)],3) => [2,1] => [2,1] => [[1,3],[2]] => 2
([(0,2),(1,2)],3) => [2,1] => [2,1] => [[1,3],[2]] => 2
([(0,1),(0,2),(1,2)],3) => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
([],4) => [4] => [4] => [[1,2,3,4]] => 1
([(2,3)],4) => [3,1] => [3,1] => [[1,3,4],[2]] => 2
([(1,3),(2,3)],4) => [3,1] => [3,1] => [[1,3,4],[2]] => 2
([(0,3),(1,3),(2,3)],4) => [3,1] => [3,1] => [[1,3,4],[2]] => 2
([(0,3),(1,2)],4) => [2,2] => [2,2] => [[1,2],[3,4]] => 3
([(0,3),(1,2),(2,3)],4) => [2,2] => [2,2] => [[1,2],[3,4]] => 3
([(1,2),(1,3),(2,3)],4) => [2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 3
([(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 3
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [2,2] => [[1,2],[3,4]] => 3
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 3
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
([],5) => [5] => [5] => [[1,2,3,4,5]] => 1
([(3,4)],5) => [4,1] => [4,1] => [[1,3,4,5],[2]] => 2
([(2,4),(3,4)],5) => [4,1] => [4,1] => [[1,3,4,5],[2]] => 2
([(1,4),(2,4),(3,4)],5) => [4,1] => [4,1] => [[1,3,4,5],[2]] => 2
([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => [4,1] => [[1,3,4,5],[2]] => 2
([(1,4),(2,3)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(1,4),(2,3),(3,4)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(0,1),(2,4),(3,4)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
([(0,4),(1,4),(2,3),(3,4)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
([(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 3
([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => [3,2] => [[1,2,5],[3,4]] => 3
([(0,1),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 4
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 4
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 4
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 4
([(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],[2],[3],[4],[5]] => 5
([],6) => [6] => [6] => [[1,2,3,4,5,6]] => 1
([(4,5)],6) => [5,1] => [5,1] => [[1,3,4,5,6],[2]] => 2
([(3,5),(4,5)],6) => [5,1] => [5,1] => [[1,3,4,5,6],[2]] => 2
([(2,5),(3,5),(4,5)],6) => [5,1] => [5,1] => [[1,3,4,5,6],[2]] => 2
([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [5,1] => [[1,3,4,5,6],[2]] => 2
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [5,1] => [[1,3,4,5,6],[2]] => 2
([(2,5),(3,4)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(2,5),(3,4),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(1,2),(3,5),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,5),(1,5),(2,4),(3,4)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 3
([(0,5),(1,4),(2,3)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => [4,2] => [[1,2,5,6],[3,4]] => 3
([(0,1),(2,5),(3,4),(4,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
>>> Load all 1252 entries. <<<([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(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] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 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] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,1,2] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(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] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(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] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,3] => [3,3] => [[1,2,3],[4,5,6]] => 4
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(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] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(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] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 4
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 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] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 5
([(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] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 5
([(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] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 5
([(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] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 5
([(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] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,2,2] => [[1,2],[3,4],[5,6]] => 5
([(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] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 5
([(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] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 5
([(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],[2],[3],[4],[5],[6]] => 6
([],7) => [7] => [7] => [[1,2,3,4,5,6,7]] => 1
([(5,6)],7) => [6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 2
([(4,6),(5,6)],7) => [6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 2
([(3,6),(4,6),(5,6)],7) => [6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 2
([(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 2
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 2
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 2
([(3,6),(4,5)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(2,3),(4,6),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,2),(3,6),(4,6),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(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] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 3
([(1,6),(2,5),(3,4)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(1,2),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,3),(1,2),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 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)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(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] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 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)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(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] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 4
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 4
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 4
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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)],7) => [3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 5
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 5
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 5
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 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] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 6
([(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] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 6
([(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] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 6
([(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] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 6
([(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] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 6
([(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] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 6
([(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] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 6
([(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],[2],[3],[4],[5],[6],[7]] => 7
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,1 1,3,6,1 1,4,15,13,1 1,5,30,82,37,1 1,6,51,301,578,106,1
$F_{1} = q$
$F_{2} = q + q^{2}$
$F_{3} = q + 2\ q^{2} + q^{3}$
$F_{4} = q + 3\ q^{2} + 6\ q^{3} + q^{4}$
$F_{5} = q + 4\ q^{2} + 15\ q^{3} + 13\ q^{4} + q^{5}$
$F_{6} = q + 5\ q^{2} + 30\ q^{3} + 82\ q^{4} + 37\ q^{5} + q^{6}$
$F_{7} = q + 6\ q^{2} + 51\ q^{3} + 301\ q^{4} + 578\ q^{5} + 106\ q^{6} + q^{7}$
Description
The first entry in the last row of a standard tableau.
For the last entry in the first row, see St000734The last entry in the first row of a standard tableau..
For the last entry in the first row, see St000734The last entry in the first row of a standard tableau..
Map
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.
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
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