Identifier
-
Mp00128:
Set partitions
—to composition⟶
Integer compositions
Mp00180: Integer compositions —to ribbon⟶ Skew partitions
Mp00192: Skew partitions —dominating sublattice⟶ Lattices
St001877: Lattices ⟶ ℤ (values match St001876The number of 2-regular simple modules in the incidence algebra of the lattice.)
Values
{{1,2},{3,4},{5}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,5},{4}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,4},{5}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,5},{4}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,3},{5}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,3},{4}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,3},{4,5}} => [1,2,2] => [[3,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,5},{3}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,4},{3}} => [2,2,1] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,4},{3,5}} => [1,2,2] => [[3,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,5},{3,4}} => [1,2,2] => [[3,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,5,6}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,5},{6}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,6},{5}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,5,6}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,5},{6}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,6},{5}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,4,6}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,4},{6}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3,4,5}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,4,5},{6}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,6},{3,4},{5}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,4,6},{5}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4},{5,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2},{3,4},{5},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,6},{4}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3,5},{4}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,5,6},{4}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,5},{4,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2},{3,5},{4},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,6},{4,5}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2},{3},{4,5},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,6},{4},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3},{4,6},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4},{2,5,6}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,5},{6}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,6},{5}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,4,6}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,4},{6}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2,4,5}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,4,5},{6}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,6},{2,4},{5}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,4,6},{5}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,4},{5,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,4},{5},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,6},{4}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2,5},{4}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,5,6},{4}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,5},{4,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,5},{4},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,6},{4,5}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2},{4,5},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,6},{4},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2},{4,6},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5},{2,3,6}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2,3},{6}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,3,5}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,3,5},{6}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6},{2,3},{5}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,3,6},{5}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,3},{5,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4},{2,3},{5},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,3,4}} => [3,3] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,3,4},{6}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,3,4},{5}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,4},{5,6}} => [1,3,2] => [[4,3,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6},{2,3},{4}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,3,6},{4}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3},{4,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,3},{4},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,3,5},{4}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,5},{4,6}} => [1,3,2] => [[4,3,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,3},{4,5}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3,6},{4,5}} => [1,3,2] => [[4,3,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3},{4,5,6}} => [1,2,3] => [[4,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,3},{4,5},{6}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6},{2,3},{4},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,3},{4,6},{5}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,3},{4},{5,6}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5},{2,6},{3}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,5},{3}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,5,6},{3}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,5},{3,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4},{2,5},{3},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,6},{3,5}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4},{2},{3,5},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,6},{3},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2},{3,6},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6},{2,4},{3}} => [3,2,1] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,4,6},{3}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,4},{3,6}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,4},{3},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,4,5},{3}} => [2,3,1] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,5},{3,6}} => [1,3,2] => [[4,3,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,4},{3,5}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,4,6},{3,5}} => [1,3,2] => [[4,3,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4},{3,5,6}} => [1,2,3] => [[4,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,4},{3,5},{6}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6},{2,4},{3},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,4},{3,6},{5}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,4},{3},{5,6}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
>>> Load all 1798 entries. <<<{{1,5},{2,6},{3,4}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2},{3,4},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,5},{3,4}} => [2,2,2] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,5,6},{3,4}} => [1,3,2] => [[4,3,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5},{3,4,6}} => [1,2,3] => [[4,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,5},{3,4},{6}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,6},{3,4,5}} => [1,2,3] => [[4,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2},{3,4},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,6},{3,4},{5}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3,4},{5,6}} => [1,1,2,2] => [[3,2,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,4},{5},{6}} => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,6},{3},{4}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2},{3,6},{4}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,5},{3},{4}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,5},{3,6},{4}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,5},{3},{4,6}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2},{3,5},{4}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,6},{3,5},{4}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3,5},{4,6}} => [1,1,2,2] => [[3,2,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,5},{4},{6}} => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,6},{3},{4,5}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,6},{4,5}} => [1,1,2,2] => [[3,2,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,6},{4},{5}} => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,4},{5,6,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,4},{5,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,4},{5,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,5},{4,6,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,5},{4,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,5},{4,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,6},{4,5,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,6},{4,5},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,7},{4,5,6}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,5,6,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,5,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,7},{4,5},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,5,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3},{4,5},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3},{4,5},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,6},{4,7},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,7},{4,6},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,6,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3},{4,6},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3},{4,6},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4,7},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3},{4},{5,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4},{5,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3},{4,7},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4},{5,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,4,5},{3,6,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,5},{3,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,5},{3,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,6},{3,5,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,6},{3,5},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,7},{3,5,6}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,5,6,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,5,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4,7},{3,5},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,5,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4},{3,5},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4},{3,5},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,6},{3,7},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,7},{3,6},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,6,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4},{3,6},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4},{3,6},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,7},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4},{3},{5,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3},{5,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,4},{3,7},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3},{5,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,5,6},{3,4,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,6},{3,4},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,7},{3,4,6}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,4,6,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,4,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5,7},{3,4},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,4,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,4},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,5},{3,4},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,6,7},{3,4,5}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3,4,5,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3,4,5},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7},{3,4,5,6}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,4,5,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,7},{3,4,5},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2},{3,4,5,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,5},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,4,5},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,6,7},{3,4},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3,4,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,4},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,6},{3,4},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,7},{3,4,6},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2},{3,4,6,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,6},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,4,6},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,7},{3,4},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,4,7},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,4},{5,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,4},{5,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2,7},{3,4},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,4,7},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4},{5,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2},{3,4},{5},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3,4},{5},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,6},{3,7},{4}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,7},{3,6},{4}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,6,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,6},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,5},{3,6},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,7},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,5},{3},{4,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3},{4,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,5},{3,7},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3},{4,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,6,7},{3,5},{4}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3,5,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,5},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,6},{3,5},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,7},{3,5,6},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2},{3,5,6,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,5,6},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,5,6},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,7},{3,5},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,5,7},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,5},{4,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,5},{4,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2,7},{3,5},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,5,7},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,5},{4,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2},{3,5},{4},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3,5},{4},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3,7},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,6},{3},{4,5,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3},{4,5},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,7},{3,6},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,6,7},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,6},{4,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3,6},{4,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2,7},{3},{4,5,6}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,7},{4,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2},{3},{4,5,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,2,7},{3},{4,5},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,7},{4,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2},{3},{4,5,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,2},{3},{4,5},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3},{4,5},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,2,6},{3,7},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,6},{3},{4,7},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,7},{3,6},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,6,7},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,6},{4,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2},{3,6},{4},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3,6},{4},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2,7},{3},{4,6},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,7},{4,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,2},{3},{4,6,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,2},{3},{4,6},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3},{4,6},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,2},{3,7},{4},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3},{4,7},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3},{4},{5,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,7},{4},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3},{4,7},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,2},{3},{4},{5,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4,5},{2,6,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,5},{2,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,5},{2,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,6},{2,5,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,6},{2,5},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,7},{2,5,6}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,5,6,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,5,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4,7},{2,5},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,5,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4},{2,5},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4},{2,5},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,6},{2,7},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,7},{2,6},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,6,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4},{2,6},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4},{2,6},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,7},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4},{2},{5,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2},{5,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4},{2,7},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2},{5,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5,6},{2,4,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,6},{2,4},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,7},{2,4,6}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,4,6,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,4,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5,7},{2,4},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,4,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,4},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,5},{2,4},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,6,7},{2,4,5}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2,4,5,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2,4,5},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,7},{2,4,5,6}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,4,5,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,4,5},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,4,5,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,4,5},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,4,5},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,6,7},{2,4},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2,4,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,4},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,6},{2,4},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,7},{2,4,6},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,4,6,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,4,6},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,4,6},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,4},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,4,7},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,4},{5,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,4},{5,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3,7},{2,4},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,4,7},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,4},{5,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3},{2,4},{5},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2,4},{5},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,6},{2,7},{4}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,7},{2,6},{4}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,6,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,6},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,5},{2,6},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,7},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,5},{2},{4,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2},{4,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5},{2,7},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2},{4,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,6,7},{2,5},{4}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2,5,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,5},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,6},{2,5},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,7},{2,5,6},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,5,6,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,5,6},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,5,6},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,5},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,5,7},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,5},{4,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,5},{4,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3,7},{2,5},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,5,7},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,5},{4,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3},{2,5},{4},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2,5},{4},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2,7},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,6},{2},{4,5,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2},{4,5},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,6},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,6,7},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,6},{4,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2,6},{4,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3,7},{2},{4,5,6}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,7},{4,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3},{2},{4,5,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,3,7},{2},{4,5},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,7},{4,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3},{2},{4,5,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,3},{2},{4,5},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2},{4,5},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,3,6},{2,7},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,6},{2},{4,7},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,6},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,6,7},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,6},{4,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3},{2,6},{4},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2,6},{4},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3,7},{2},{4,6},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,7},{4,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,3},{2},{4,6,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,3},{2},{4,6},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2},{4,6},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,3},{2,7},{4},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2},{4,7},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2},{4},{5,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,7},{4},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2},{4,7},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,3},{2},{4},{5,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5,6},{2,3,7}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,6},{2,3},{7}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,7},{2,3,6}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2,3,6,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2,3,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5,7},{2,3},{6}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2,3,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5},{2,3},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,5},{2,3},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,6,7},{2,3,5}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,3,5,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,3,5},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7},{2,3,5,6}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,3,5,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2,3,5},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4},{2,3,5,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,3,5},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,3,5},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6,7},{2,3},{5}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,3,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2,3},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,6},{2,3},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,7},{2,3,6},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4},{2,3,6,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,3,6},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,3,6},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2,3},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,3,7},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,3},{5,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,3},{5,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4,7},{2,3},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,3,7},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,3},{5,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4},{2,3},{5},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2,3},{5},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5,6,7},{2,3,4}} => [4,3] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,3,4,7}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,3,4},{7}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,7},{2,3,4,6}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,3,4,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2,3,4},{6}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,3,4,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3,4},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,3,4},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,7},{2,3,4,5}} => [3,4] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,3,4,5},{7}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,4,5},{6}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,4,5},{6,7}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,7},{2,3,4},{5}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6},{2,3,4,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,3,4},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,3,4},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,4,6},{5}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,4,6},{5,7}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,4},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,3,4,7},{5,6}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,4},{5,6,7}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3,4},{5,6},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,3,4},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,4},{5,7},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,4},{5},{6,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,5,6,7},{2,3},{4}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,3,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,6},{2,3},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5,6},{2,3},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,7},{2,3,6},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,3,6,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3,6},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,3,6},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2,3},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,3,7},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,3},{4,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,3},{4,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5,7},{2,3},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,3,7},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3},{4,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5},{2,3},{4},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2,3},{4},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6,7},{2,3,5},{4}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6},{2,3,5,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,3,5},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,3,5},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,5,6},{4}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,5,6},{4,7}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,5},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,3,5,7},{4,6}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,5},{4,6,7}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3,5},{4,6},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,3,5},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,5},{4,7},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,5},{4},{6,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,6,7},{2,3},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,3,7},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,3},{4,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,3},{4,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,7},{2,3,6},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,3,6,7},{4,5}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,6},{4,5,7}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3,6},{4,5},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,3},{4,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,3,7},{4,5,6}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3},{4,5,6,7}} => [1,2,4] => [[5,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,3},{4,5,6},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,3},{4,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,3,7},{4,5},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3},{4,5,7},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3},{4,5},{6,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,3},{4,5},{6},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,6,7},{2,3},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,3,7},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,3},{4,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,6},{2,3},{4},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6},{2,3},{4},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2,3,6},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,6},{4,7},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,6},{4},{5,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,7},{2,3},{4,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,3,7},{4,6},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3},{4,6,7},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3},{4,6},{5,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,3},{4,6},{5},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2,3},{4},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1},{2,3,7},{4},{5,6}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,3},{4,7},{5,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,3},{4},{5,6,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3},{4},{5,6},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2,3},{4},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,3},{4,7},{5},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,3},{4},{5,7},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,3},{4},{5},{6,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5,6},{2,7},{3}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,7},{2,6},{3}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2,6,7},{3}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5},{2,6},{3,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,5},{2,6},{3},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2,7},{3,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,5},{2},{3,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2},{3,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5},{2,7},{3},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2},{3,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6,7},{2,5},{3}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,5,7},{3}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2,5},{3,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,6},{2,5},{3},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,7},{2,5,6},{3}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4},{2,5,6,7},{3}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,5,6},{3,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,5,6},{3},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2,5},{3,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,5,7},{3,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,5},{3,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,5},{3,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4,7},{2,5},{3},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,5,7},{3},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,5},{3,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4},{2,5},{3},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2,5},{3},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,7},{3,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,6},{2},{3,5,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2},{3,5},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2,6},{3,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,6,7},{3,5}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,6},{3,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,6},{3,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4,7},{2},{3,5,6}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,7},{3,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2},{3,5,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,4,7},{2},{3,5},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,7},{3,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4},{2},{3,5,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,4},{2},{3,5},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2},{3,5},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,4,6},{2,7},{3},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2},{3,7},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2,6},{3},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,6,7},{3},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,6},{3,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4},{2,6},{3},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2,6},{3},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4,7},{2},{3,6},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,7},{3,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,4},{2},{3,6,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,4},{2},{3,6},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2},{3,6},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,4},{2,7},{3},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2},{3,7},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2},{3},{5,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,7},{3},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2},{3,7},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,4},{2},{3},{5,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6,7},{2,4},{3}} => [4,2,1] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,4,7},{3}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,6},{2,4},{3,7}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5,6},{2,4},{3},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,7},{2,4,6},{3}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,4,6,7},{3}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,4,6},{3,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,4,6},{3},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2,4},{3,6}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,4,7},{3,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,4},{3,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,4},{3,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5,7},{2,4},{3},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,4,7},{3},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,4},{3,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5},{2,4},{3},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2,4},{3},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6,7},{2,4,5},{3}} => [3,3,1] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6},{2,4,5,7},{3}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,4,5},{3,7}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,4,5},{3},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,4,5,6},{3}} => [2,4,1] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,5,6},{3,7}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,4,5},{3,6}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,4,5,7},{3,6}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,5},{3,6,7}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,4,5},{3,6},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,4,5},{3},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,5},{3,7},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4,5},{3},{6,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,6,7},{2,4},{3,5}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,4,7},{3,5}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,4},{3,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,4},{3,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,7},{2,4,6},{3,5}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,4,6,7},{3,5}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,6},{3,5,7}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,4,6},{3,5},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,4},{3,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,4,7},{3,5,6}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,4},{3,5,6,7}} => [1,2,4] => [[5,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,4},{3,5,6},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,4},{3,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,4,7},{3,5},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4},{3,5,7},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4},{3,5},{6,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,4},{3,5},{6},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,6,7},{2,4},{3},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,4,7},{3},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,4},{3,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,6},{2,4},{3},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6},{2,4},{3},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2,4,6},{3},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,6},{3,7},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4,6},{3},{5,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,7},{2,4},{3,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,4,7},{3,6},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4},{3,6,7},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4},{3,6},{5,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,4},{3,6},{5},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2,4},{3},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1},{2,4,7},{3},{5,6}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,4},{3,7},{5,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,4},{3},{5,6,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4},{3},{5,6},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2,4},{3},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,4},{3,7},{5},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,4},{3},{5,7},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,4},{3},{5},{6,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6},{2,7},{3,4}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5,6},{2},{3,4,7}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2},{3,4},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2,6},{3,4}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,6,7},{3,4}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,6},{3,4,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2,6},{3,4},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5,7},{2},{3,4,6}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,7},{3,4,6}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5},{2},{3,4,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,5,7},{2},{3,4},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,7},{3,4},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5},{2},{3,4,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,5},{2},{3,4},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2},{3,4},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6,7},{2,5},{3,4}} => [3,2,2] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,5,7},{3,4}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,5},{3,4,7}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,5},{3,4},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,7},{2,5,6},{3,4}} => [2,3,2] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,5,6,7},{3,4}} => [1,4,2] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5,6},{3,4,7}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,5,6},{3,4},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,5},{3,4,6}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,5,7},{3,4,6}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,5},{3,4,6,7}} => [1,2,4] => [[5,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,5},{3,4,6},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,7},{2,5},{3,4},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,5,7},{3,4},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,5},{3,4,7},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,5},{3,4},{6,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,5},{3,4},{6},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,6,7},{2},{3,4,5}} => [3,1,3] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,7},{3,4,5}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2},{3,4,5},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,7},{2,6},{3,4,5}} => [2,2,3] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,6,7},{3,4,5}} => [1,3,3] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,6},{3,4,5,7}} => [1,2,4] => [[5,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,6},{3,4,5},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,7},{3,4,5,6}} => [1,2,4] => [[5,2,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2},{3,4,5},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,7},{3,4,5},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2},{3,4,5},{6,7}} => [1,1,3,2] => [[4,3,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,4,5},{6},{7}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,6,7},{2},{3,4},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,7},{3,4},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,6},{2},{3,4,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,6},{2},{3,4},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6},{2},{3,4},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,7},{2,6},{3,4},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,6,7},{3,4},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,6},{3,4,7},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,6},{3,4},{5,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,6},{3,4},{5},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2},{3,4,6},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,7},{3,4,6},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2},{3,4,6},{5,7}} => [1,1,3,2] => [[4,3,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,4,6},{5},{7}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2},{3,4},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1},{2,7},{3,4},{5,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2},{3,4,7},{5,6}} => [1,1,3,2] => [[4,3,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,4},{5,6,7}} => [1,1,2,3] => [[4,2,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,4},{5,6},{7}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2},{3,4},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,7},{3,4},{5},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,4,7},{5},{6}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,4},{5,7},{6}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,4},{5},{6,7}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3,4},{5},{6},{7}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,7},{3},{4}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2},{3,7},{4}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2,6},{3},{4}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,6,7},{3},{4}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,6},{3,7},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5},{2,6},{3},{4,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2,6},{3},{4},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5,7},{2},{3,6},{4}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,7},{3,6},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,5},{2},{3,6,7},{4}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,5},{2},{3,6},{4,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2},{3,6},{4},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,5},{2,7},{3},{4,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2},{3,7},{4,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2},{3},{4,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,7},{3},{4},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2},{3,7},{4},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,5},{2},{3},{4,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,7},{2,5},{3},{4}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,5,7},{3},{4}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,5},{3,7},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,6},{2,5},{3},{4,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6},{2,5},{3},{4},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2,5,6},{3},{4}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5,6},{3,7},{4}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,5,6},{3},{4,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,7},{2,5},{3,6},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,5,7},{3,6},{4}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,5},{3,6,7},{4}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,5},{3,6},{4,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,5},{3,6},{4},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2,5},{3},{4,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1},{2,5,7},{3},{4,6}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,5},{3,7},{4,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,5},{3},{4,6,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5},{3},{4,6},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2,5},{3},{4},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,5},{3,7},{4},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,5},{3},{4,7},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,5},{3},{4},{6,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,7},{2},{3,5},{4}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,7},{3,5},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1,6},{2},{3,5,7},{4}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,6},{2},{3,5},{4,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6},{2},{3,5},{4},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,7},{2,6},{3,5},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,6,7},{3,5},{4}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,6},{3,5,7},{4}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,6},{3,5},{4,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,6},{3,5},{4},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2},{3,5,6},{4}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,7},{3,5,6},{4}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2},{3,5,6},{4,7}} => [1,1,3,2] => [[4,3,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,5,6},{4},{7}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2},{3,5},{4,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1},{2,7},{3,5},{4,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2},{3,5,7},{4,6}} => [1,1,3,2] => [[4,3,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,5},{4,6,7}} => [1,1,2,3] => [[4,2,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,5},{4,6},{7}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2},{3,5},{4},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,7},{3,5},{4},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,5,7},{4},{6}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,5},{4,7},{6}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,5},{4},{6,7}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3,5},{4},{6},{7}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,7},{3},{4,5}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6},{2},{3,7},{4,5}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6},{2},{3},{4,5},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,6},{3},{4,5}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1},{2,6,7},{3},{4,5}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,6},{3,7},{4,5}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2,6},{3},{4,5,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,6},{3},{4,5},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,7},{2},{3,6},{4,5}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1},{2,7},{3,6},{4,5}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
{{1},{2},{3,6,7},{4,5}} => [1,1,3,2] => [[4,3,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,6},{4,5,7}} => [1,1,2,3] => [[4,2,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,6},{4,5},{7}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,7},{3},{4,5,6}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,7},{4,5,6}} => [1,1,2,3] => [[4,2,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2},{3},{4,5},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,7},{3},{4,5},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,7},{4,5},{6}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3},{4,5},{6,7}} => [1,1,1,2,2] => [[3,2,1,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4,5},{6},{7}} => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,7},{3},{4},{5}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2},{3,7},{4},{5}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6},{2},{3},{4,7},{5}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,6},{3},{4},{5}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,6},{3,7},{4},{5}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,6},{3},{4,7},{5}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,6},{3},{4},{5,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2},{3,6},{4},{5}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,7},{3,6},{4},{5}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,6,7},{4},{5}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,6},{4,7},{5}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,6},{4},{5,7}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3,6},{4},{5},{7}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2},{3},{4,6},{5}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,7},{3},{4,6},{5}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,7},{4,6},{5}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3},{4,6},{5,7}} => [1,1,1,2,2] => [[3,2,1,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4,6},{5},{7}} => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2,7},{3},{4},{5,6}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3,7},{4},{5,6}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3},{4,7},{5,6}} => [1,1,1,2,2] => [[3,2,1,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,7},{4},{5},{6}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4,7},{5},{6}} => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4},{5,6},{7},{8}} => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4},{5,6},{7,8}} => [1,1,1,1,2,2] => [[3,2,1,1,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4},{5,7},{6},{8}} => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4},{5,8},{6},{7}} => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4},{5,8},{6,7}} => [1,1,1,1,2,2] => [[3,2,1,1,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4,5},{6},{7,8}} => [1,1,1,2,1,2] => [[3,2,2,1,1,1],[1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3},{4,8},{5},{6},{7}} => [1,1,1,2,1,1,1] => [[2,2,2,2,1,1,1],[1,1,1]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1},{2},{3},{4,8},{5,6},{7}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3},{4,7,8},{5,6}} => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2},{3},{4,8},{5,7},{6}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3,4},{5},{6},{7,8}} => [1,1,2,1,1,2] => [[3,2,2,2,1,1],[1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1},{2},{3,8},{4},{5},{6},{7}} => [1,1,2,1,1,1,1] => [[2,2,2,2,2,1,1],[1,1,1,1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3,7,8},{4},{5,6}} => [1,1,3,1,2] => [[4,3,3,1,1],[2,2]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1},{2},{3,5,8},{4},{6,7}} => [1,1,3,1,2] => [[4,3,3,1,1],[2,2]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1},{2},{3,4,5},{6,7,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2},{3,8},{4,6,7},{5}} => [1,1,2,3,1] => [[4,4,2,1,1],[3,1]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2},{3,8},{4,5,6},{7}} => [1,1,2,3,1] => [[4,4,2,1,1],[3,1]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2},{3,7,8},{4,5,6}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2},{3,4,8},{5,6,7}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3},{4},{5},{6},{7,8}} => [1,2,1,1,1,2] => [[3,2,2,2,2,1],[1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3},{4},{5},{6,7},{8}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 2
{{1},{2,3},{4},{5},{6,8},{7}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 2
{{1},{2,4},{3},{5},{6},{7,8}} => [1,2,1,1,1,2] => [[3,2,2,2,2,1],[1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4},{3},{5},{6,8},{7}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 2
{{1},{2,5},{3},{4},{6,8},{7}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 2
{{1},{2,4,5},{3},{6,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,6,7,8},{3},{4,5}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,4,6},{3},{5},{7,8}} => [1,3,1,1,2] => [[4,3,3,3,1],[2,2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,4,8},{3},{5},{6,7}} => [1,3,1,1,2] => [[4,3,3,3,1],[2,2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,7,8},{3},{4,5,6}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,4,7,8},{3},{5,6}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,4,8},{3},{5,6,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,4,5,8},{3},{6,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,3,4},{5},{6,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,8},{3,4},{5},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,6,7},{3,4},{5},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,6,8},{3,4},{5},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,3,5},{4},{6,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,7},{3,5},{4},{6},{8}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,8},{3,5},{4},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,6,7},{3,5},{4},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,6,8},{3,5},{4},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,6,7,8},{3,5},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,8},{3,7},{4},{5},{6}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,3,8},{4},{5,6,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,3,5,8},{4},{6,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,6,7,8},{3,4,5}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1},{2,3,8},{4,5},{6},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,3,6,7},{4,5},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,6,8},{4,5},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,4,6},{5},{7,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,3,8},{4,6},{5},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,3,7,8},{4,6},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,4,8},{5,6},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,4,8},{5,7},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,4,8},{5,6,7}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2},{3},{4},{5},{6,7},{8}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3},{4},{5},{6,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3},{4},{5,6},{7},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2},{3},{4},{5,8},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2},{3},{4},{5,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2},{3},{4,5},{6},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,2},{3},{4,5},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2},{3},{4,8},{5},{6},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,2},{3},{4,5,8},{6},{7}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1,2},{3,4},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,5},{4},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,6},{4},{5},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,8},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,2},{3,6,7,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,5,7,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,5,6,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,5},{6},{7},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,6,7,8},{4,5}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2},{3,4,8},{5},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,7,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,6,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,5,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2},{3,4,5,7},{6},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,5,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3,4,5,8},{6,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3},{2},{4},{5},{6,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2},{4},{5,7,8},{6}} => [2,1,1,3,1] => [[4,4,2,2,2],[3,1,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,3},{2},{4},{5,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,3},{2},{4,5},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3},{2},{4,6,7},{5},{8}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1,3},{2},{4,6,8},{5},{7}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1,3},{2},{4,8},{5,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4},{2},{3},{5},{6,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2},{3},{5,6},{7,8}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,4},{2},{3},{5,8},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4},{2},{3},{5,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,7},{2},{3},{4},{5,6},{8}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2},{3},{4},{5,6},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2},{3},{4},{5,7},{6}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5},{2},{3},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5},{2},{3},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2},{3},{4,5},{7},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,8},{2},{3},{4,5},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,6,7},{2},{3},{4,5},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2},{3},{4,6},{5},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,7},{2},{3},{4,5,6},{8}} => [2,1,1,3,1] => [[4,4,2,2,2],[3,1,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,4,8},{2},{3},{5,6},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,8},{2},{3},{5,6,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2},{5},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4},{2},{5},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2},{5,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,4},{2},{5,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5},{2},{3,4},{6},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,5},{2},{3,4},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,8},{2},{3,4},{5},{6},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6,7,8},{2},{3,4},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2},{3,4},{6},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,5,7,8},{2},{3,4},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6,7},{2},{3,4},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2},{3,4},{5,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,6,8},{2},{3,4},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5},{2},{4},{6,7},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5},{2},{4},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5},{2},{4},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2},{3,5},{4},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,8},{2},{3,5},{4},{6},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6,8},{2},{3,5},{4},{7}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6,7,8},{2},{3,5},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2},{3,5,6},{4},{8}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1,7,8},{2},{3,5,6},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,7},{2},{4},{5,6},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,8},{2},{4},{5,6,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,5},{2},{6,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4,5},{2},{6,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4,5},{2},{6,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2},{3,4,5},{7},{8}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1,8},{2},{3,4,5},{6},{7}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
{{1,7,8},{2},{3,4,5},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6,8},{2},{3,4,5},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,7},{2},{4,5},{6},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,3,7,8},{2},{4,5},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,6,8},{2},{4,5},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7,8},{2},{3,4,6},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,7},{2},{4,6},{5},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,3,7,8},{2},{4,6},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,8},{2},{4,6,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,7},{2},{4,5,6},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,8},{2},{4,5,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,4,8},{2},{5,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,8},{2},{4,5,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,4,8},{2},{5,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3},{4},{5},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3},{4},{5},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,3},{4},{5,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,3},{4,6},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,3},{4,6,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3},{4,8},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,3},{4,6,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3},{4,5,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3},{4,5,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,3},{4,5,6,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,3},{4,5,6,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4},{2,3},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,3},{5},{6},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2,3},{4},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,3},{4},{5},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,3},{4},{5},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,7},{2,3},{4},{5},{6},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,3},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6,8},{2,3},{4},{5},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,3},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,7,8},{2,3},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7},{2,3},{4},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,7,8},{2,3},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6,7},{2,3},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,8},{2,3},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,6,8},{2,3},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5},{2,3},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,7,8},{2,3},{4,5}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,6},{2,3},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,8},{2,3},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,7,8},{2,3},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6,7},{2,3},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,8},{2,3},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,6,8},{2,3},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,6},{2,3},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,5,7},{2,3},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,8},{2,3},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,8},{2,3},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4},{3},{5,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,4},{3},{5,6,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,4},{3},{5,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5},{2,4},{3},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,4},{3},{6},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,7},{2,4},{3},{5},{6},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,4},{3},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,4},{3},{5},{6,7}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,6,7,8},{2,4},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2,4},{3},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,7,8},{2,4},{3},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7},{2,4},{3},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,7,8},{2,4},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6,7},{2,4},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,8},{2,4},{3},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,6,8},{2,4},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,5},{3},{4},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,5},{3},{4},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,7},{2,5},{3},{4},{6},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,5},{3},{4},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,7,8},{2,5},{3},{4},{6}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,6,7,8},{2,5},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,7,8},{2,6},{3},{4},{5}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,7},{3},{4},{5},{6}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,7,8},{2,5,6},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,8},{2,5,7},{3},{4},{6}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,5,6,7},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,4,5},{3},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7,8},{2,4,5},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,7},{2,4,5},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,8},{2,4,5},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,7,8},{2,6},{3},{4,5}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,7,8},{3},{4,5},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,6,8},{3},{4,5},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,4,6},{3},{5},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7,8},{2,4,6},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7,8},{3},{4,6},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,4,7},{3},{5},{6}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,4,6,7},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,8},{3},{4,6,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,7},{2,4,5,6},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,4,5,6},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7,8},{2,4,5,6},{3}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,8},{3},{4,5,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,7,8},{3},{4,5,6}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,7},{3},{5,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,4,8},{3},{5,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,4,5,7},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,8},{3},{4,5,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,4,8},{3},{5,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3,4},{5},{6,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3,4},{5},{6,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3,4},{5,6},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,4},{5,7,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,4},{5,6,7},{8}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,4},{5,8},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,4},{5,6,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,4},{5,6,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,5},{2,3,4},{6},{7},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,3,4},{5},{7},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,4},{5},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,3,4},{5},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,8},{2,3,4},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,6},{2,3,4},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,7},{2,3,4},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,8},{2,3,4},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,6,7},{2,3,4},{8}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,6,8},{2,3,4},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,4},{6},{7},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,5},{3,4},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,7,8},{2,5},{3,4}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,6},{3,4},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,8},{3,4},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,2,7,8},{3,4},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,8},{3,4},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,6,8},{3,4},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,6},{3,4},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,7},{3,4},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,8},{3,4},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,5},{4},{6,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3,5},{4},{6,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,3,5},{4},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7,8},{2,3,5},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,7},{2,3,5},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,8},{2,3,5},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,7,8},{2,3,5},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,5},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,7,8},{3,5},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,8},{3,5},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,6,8},{3,5},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,3,6},{4},{5},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7,8},{2,3,6},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7,8},{3,6},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,3,7},{4},{5},{6}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,3,6,7},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,8},{3,6,7},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,7},{2,3,5,6},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,3,5,6},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,7},{3,5,6},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,8},{3,5,6},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,7},{4},{5,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,8},{3,7},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,3,8},{4},{5,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2,3,5,7},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,8},{3,5,7},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,8},{4},{5,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3,8},{4},{5,6,7}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,3,4,5},{7},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,4,5},{6},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,8},{2,3,4,5},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,6,7,8},{2,3,4,5}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,6},{3,4,5},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,6},{4,5},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,6},{4,5},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,7},{4,5},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,8},{4,5},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,3,6,7},{4,5}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2,3,8},{4,5},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,8},{2,3,4,6},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7,8},{2,3,4,6},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,7},{3,4,6},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,8},{3,4,6},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7,8},{3,4,6},{5}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,7},{4,6},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,8},{4,6},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,8},{2,3,4,7},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,8},{3,4,7},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,8},{4,7},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,8},{3,4,6,7},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,7},{3,4,5,6},{8}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,7,8},{3,4,5,6}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,3,7},{4,5,6},{8}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,8},{4,5,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,8},{2,3,4,7},{5,6}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2,3,8},{4,7},{5,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,8},{3,4,5,7},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,3,8},{4,5,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,8},{4,5,6,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,5,7},{2,4,6,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,5,7},{3,4,6,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,4,7},{2,5,6,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,4,7},{3,5,6,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,3,7},{4,5,6,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,5,6},{2,4,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,5,6},{3,4,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,4,6},{2,5,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,4,6},{3,5,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,3,6},{4,5,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,4,5},{2,6,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,4,5},{3,6,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,3,5},{4,6,7,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,6,8},{2,5,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6,8},{3,5,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5,8},{3,6,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5,8},{3,4,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4,8},{2,5,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5,8},{3,4,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4,8},{3,5,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6,7},{3,5,8},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6,7},{2,4,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5,7},{2,6,8},{3}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5,7},{2,6,8},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4,7},{2,6,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4,7},{3,6,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5,7},{2,4,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5,7},{3,4,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4,7},{3,5,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4,5},{2,7,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4,5},{3,7,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5,6},{2,4,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,6},{4,5,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4,5},{3,6,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5,7},{2,4,6},{8}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4,6},{2,5,7},{8}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,5},{4,6,7},{8}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7,8},{2,5},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,7,8},{3,5},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,6,8},{3,5},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,6,8},{2,4},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,5,8},{2,6},{3,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,5,8},{2,6},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,5,8},{3,6},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4,8},{2,6},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,5,8},{2,4},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4,8},{3,5},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,6,7},{2,4},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,6,7},{3,4},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,5,7},{2,6},{3,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,5,7},{2,6},{4,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4,7},{2,6},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,7},{4,6},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,5,7},{3,4},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4,7},{2,5},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,5,6},{3,7},{4,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4,6},{2,7},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4,6},{3,7},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,6},{4,7},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4,5},{3,7},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,5},{4,7},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,4},{5,7},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,5,6},{2,4},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4,6},{2,5},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4,6},{3,5},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4,5},{3,6},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,3,5},{4,6},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5,7,8},{2,6},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,7,8},{2,6},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,7,8},{2,6},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,7,8},{2,5},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,7,8},{2,5},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,7,8},{2,4},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6,8},{2,7},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6,8},{2,7},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6,8},{2,7},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,6,8},{3,7},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,8},{2,7},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,8},{2,7},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,8},{3,7},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,8},{2,7},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,8},{3,7},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6,8},{2,5},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6,8},{2,5},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6,8},{2,4},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,8},{2,6},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,8},{2,6},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,8},{3,6},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,8},{2,6},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,8},{3,6},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,8},{2,5},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,8},{3,5},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6,7},{2,8},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6,7},{2,8},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6,7},{2,8},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,6,7},{3,8},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,7},{2,8},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,7},{2,8},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,7},{3,8},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,7},{2,8},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,7},{3,8},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,6},{2,8},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,6},{2,8},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,6},{3,8},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,6},{2,8},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,6},{3,8},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,6},{4,8},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,5},{2,8},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,5},{3,8},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,5},{4,8},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6,7},{2,5},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,6,7},{2,5},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,7},{2,6},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,7},{2,6},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,5,7},{3,6},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,7},{2,6},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,7},{3,6},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,7},{2,4},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,7},{2,5},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,7},{3,5},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,5,6},{2,7},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,6},{2,7},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,6},{3,7},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,6},{4,7},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,5},{2,7},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,5},{3,7},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,5},{4,7},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,6},{2,4},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,6},{3,5},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,5},{2,6},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4,5},{3,6},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,3,5},{4,6},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,7},{2,6,8},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7},{2,6,8},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,7},{2,6,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7},{3,6,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7},{2,5,8},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,7},{2,5,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7},{3,5,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,7},{2,4,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7},{3,4,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,6},{2,7,8},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2,7,8},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,7,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,7,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5},{2,7,8},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,7,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,7,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4},{2,7,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4},{3,7,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2,5,8},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,5,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,5,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,4,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,4,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5},{2,6,8},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,6,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,6,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4},{2,6,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4},{3,6,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,4,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,4,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4},{2,5,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4},{3,5,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2,5,7},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,5,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,5,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,4,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,6,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,6,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4},{2,6,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,4,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,4,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,4},{2,5,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4},{3,5,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,4,6},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,4,6},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,8},{2,4},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,6,7},{2,8},{3},{4},{5}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,4},{2,8},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,7},{2,6},{3},{5},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,7},{2,5},{3},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,7},{2,4},{5},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,6},{2,7},{3},{5},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2,4},{6},{7},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 0
{{1,7},{2,8},{3},{4},{5},{6}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,8},{3},{4},{5},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,8},{3},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,8},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2,6},{3},{4},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,5},{3},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,4},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 0
{{1,3,5,8},{2},{4,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2,4},{3},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,3,5,8},{4,6},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,4,7},{2,5},{3},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4},{2},{3,6},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4},{2},{3,7},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,5},{3},{4,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,5,7},{3},{4,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,5,7},{4},{6,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,4},{2},{3,8},{5,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,8},{2,4,7},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,8},{2,3,7},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7},{2,3,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,8},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,6},{2,7},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,8},{2,7},{3},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,7},{2,8},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,7},{2},{4,5,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,7},{2,4,6,8},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6},{2,5},{3},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7,8},{2},{3,6},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,8},{2,6,7},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5,7},{2},{3,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5},{2,6},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,6,8},{2},{3,7},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,8},{2,5},{3},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,5},{2,8},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,8},{2},{3,4,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6},{2,3,7,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,7},{2,4,8},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,8},{2,5,7},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,8},{2,7},{3},{4,5}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7},{2},{3,4,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4,8},{2,3,6},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2},{4,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3},{2,4,6,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,6,8},{3},{5,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,3,5,7},{2},{4,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2},{4,6,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,5,7},{2},{4,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,4,6},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,7},{2,4,8},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,4,6,8},{3,5},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,5},{2,4,6,8},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,7},{2,4,6},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,4,6,8},{3,7},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,3,5},{2,7},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,5,6},{3},{4,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,6},{3},{4,5,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5,6},{2,3,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6},{2,3,5,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,4},{3,6},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,4,6},{3},{5,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,4},{3,8},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,4},{2,8},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4},{2,3,6,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4},{2,6},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,8},{2,5,6},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,8},{2,5},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,7},{2,8},{3},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7},{2,3,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,5},{3,7},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,5},{2,7},{3},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6},{2,5,7,8},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,7},{2,5,8},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,7},{2,5,6,8},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,6,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,8},{3,6},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,7,8},{2,5},{3},{4,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6},{2,4,7,8},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,4,5,8},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,5,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2},{3,6},{4,5,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6},{2},{3,5},{4,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5},{2},{3,8},{4,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6},{2},{3,8},{4,5,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,6,8},{3},{4,7},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6,8},{2},{3,7},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,8},{2},{3,6,7},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4,6,8},{2},{3,5},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7,8},{2},{3,6},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6,7},{2},{3,5},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,4,7,8},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,4,6,7},{5},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,5},{3,6},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,7},{2,8},{3},{4,5}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,4},{3,7},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,4},{2,7},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,6},{3},{4},{5,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3},{2,4,5,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4},{2,3,5,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4},{2,3,5,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3},{2,4,5,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2},{3,4,5,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2},{3,4,6,7},{5,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3},{2,4,6,7},{5,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4},{2,3,6,7},{5,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,5},{2,3,6,7},{4,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2},{3,5,6,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3},{2,5,6,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4},{2,5,6,8},{3,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,5},{2,4,6,8},{3,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4,5,8},{2,3,6,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,4,5},{2},{3,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6,7},{2},{3,4,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4,6,7},{2},{3,8},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6},{2},{3,7,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,6},{2},{4},{5,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,6,7},{2,3},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,7},{2,4},{3},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,7},{2},{4},{5,6,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,4,8},{2},{3,5,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5,7},{2,3},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,6},{2},{3},{5,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1},{2,5,6},{3},{4,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2},{3,6,7},{4,5,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3,6,7},{4},{5,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2},{3,5,6},{4,7,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,4,7,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,7},{2,3,4,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,7},{3},{5,6,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2},{3,5,7},{4,6,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2},{3,6},{4,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6},{2},{3,4},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,6},{3},{4,7,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5},{2},{3,7},{4,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,6},{2,5},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,5},{2,6},{3},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,5},{2,8},{3},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6},{2,4,5,8},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,8},{2,6},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,6},{2,4,8},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,6},{2,8},{3},{4,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7},{2},{3,6,8},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6,8},{2,5},{3},{4,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7},{2,6},{3},{4,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,8},{2,6},{3},{4,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,7},{2,5},{3},{4,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,6},{2,7},{3},{4,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,8},{2,7},{3},{4,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,7},{2,8},{3},{4,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,8},{2,4,6},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2},{4,7,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,6,7},{2},{4,8},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,8},{2},{3,6,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5,6},{2},{3,4,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6,7},{2},{3,5,8},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6,8},{2},{3,5,7},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5,8},{2},{3,4,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,5,8},{3},{4,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,6},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,6},{3,7},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,5},{3},{4,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,4,7},{3},{5,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,7},{2,5},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,7},{3,4},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6},{2,3,4,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,5,8},{3},{4,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,7},{3,5},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,7},{2,4},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,3,4,7},{5},{6,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,4,6,7},{2,3,5,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,5,6},{2,3,4,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,5,6,7},{2,3,4,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,6,7},{2,3,4,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,5,6,7},{2,4,8},{3}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,7},{2,4,6,8},{3}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,5,6},{2,3,4,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,5,6,8},{2,3,4,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,6},{2},{4,7},{5},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6},{2,3,4,7},{5},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,8},{2,6,7},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2,8},{3},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,8},{2,3,7},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,5,8},{3,7},{4},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1,4},{2,5,7},{3},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3,6,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5,6,7},{3,8},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,5,6},{2,3,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,6},{3,7},{4},{5},{8}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,6,7},{2,3,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2},{3,5,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6},{2},{3,8},{4},{5},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,5},{2},{3},{4,8},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,7},{2},{3,4},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,7},{3},{4,5,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,8},{2,7},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,8},{2,3},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,6,8},{2},{4,7},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2,6},{3},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,8},{2,4,7},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,6,7,8},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5,8},{2},{3,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,5,6},{4,7},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,5,7},{4,8},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,3},{2,5,7,8},{4,6}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4,5,7},{2},{3,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,8},{2},{3,5,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,8},{2,5,7},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,5,6,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,8},{2,4,7},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6,8},{2,4},{3},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,8},{2,6},{3},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,5,7},{3,8},{4},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1,4,7},{2,5,6},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,7},{2,3,6},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,6},{2,3,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,6},{3,8},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,5,6,7},{3,4,8}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,7},{2,8},{3},{4},{5,6}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5,6,7},{2,3,8},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,7},{2,3,4,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,3,5},{4,8},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5,6,7},{2},{3,4,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,5},{2},{3},{4,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,2,4,6},{3,8},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,5,6},{3,8},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,3,4,8},{2,5,6,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,4,6},{2,7},{3},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,3,7},{4,8},{5},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1,4,7},{2,3},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,4,8},{3,5},{6},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,3,6,7},{4,8},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,3,5,8},{2},{4,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6},{2},{3,7,8},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4,7},{2},{3,5,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,5},{2,3,7,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,3,6,8},{4},{5,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,2},{3},{4,6},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,5,6,8},{3},{4,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2,4,5,7},{3,8},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2},{3,6,8},{4,5,7}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2},{4,6},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,4,6,7},{3},{5,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,4,7},{2},{3,6,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4},{2,3,7,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,8},{2,4},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,8},{2},{3},{4,5,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,4},{2,3,6,7},{5},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6},{2,3,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6},{2,4,5,7},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,6,7},{2,4,5,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1},{2,5,6,7},{3},{4,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,7},{2},{3,8},{4,5,6}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,4,5,8},{3,7},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,4,5,6},{2},{3,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5,6},{2},{4,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,6,7},{3,8},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,3,5},{2},{4,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,6},{2,4},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3,6},{2},{4,5,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,3,4,7},{5,8},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,4,8},{2,5,7},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,3,4,6},{5,8},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4,5,8},{3,6},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4,5,6},{3,8},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,5},{2,4,6,7},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5,7,8},{3,6},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,5,6},{2,4,7},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,5,6,7},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2,6,7,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2,3,5},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7},{2,3,6},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,3,6,7},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,6},{2},{4,5,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4},{2,3,5,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,8},{2},{3,6},{4,5,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,5,8},{2},{3,4,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4,5},{2,3,6},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5},{2,3,4,6},{7},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,3},{4,7},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,5},{3},{4,6,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,5},{3,8},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4},{2,5,7,8},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,6},{3},{4,5,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,5,6},{3},{4,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3},{2},{4,7},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,3,7},{4},{5,6,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,3,6},{4},{5,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,3,5,6},{4,8},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,4,5,7},{2,3,6,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,5},{2,3,6,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,7},{2,4,5,8},{3,6}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,6},{2,4,5,8},{3,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1},{2,4,5,7},{3,6},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,4,5,7},{2,8},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,6},{2,4,5,7},{3,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,5,7},{2},{3,6},{4},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,6},{2,3,5,7},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5,8},{2},{3,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4,6},{2},{5,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,3,5,7},{6},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5,6,8},{3,7},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,5},{2,3,7},{4},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3,8},{4},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,8},{2,3,6},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,6},{2,3,8},{4},{5},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2,4,8},{3},{5},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,8},{2,3,7},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,8},{2,4,6},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,8},{2,3,5},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,4,5,7},{3},{6,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1},{2},{3,5,8},{4,6,7}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,5,7,8},{3},{4,6}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
{{1,5,6,7},{2},{3,8},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2},{3,7},{4,5,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,7},{2},{3,5},{4,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,3},{2,5,7,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,6},{2,3,5},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,5,8},{2},{3},{4,6,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,5,6},{2},{3,4,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,6},{2,4,5},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7},{2,3,5,6},{8}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,6},{2,3,7,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,5,8},{2,7},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,4,6,8},{3,5,7}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,3,5,7},{2},{4,6,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,6,8},{2,4,7},{3}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,5},{2,4,6,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,3,7},{2,4,6,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1},{2},{3,4,6},{5,7,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2},{3,4,7},{5,6,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1},{2,6,7},{3},{4,5,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4,8},{2,5,6},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3},{2,4,5,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2,4,6},{3},{5,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4,6},{2},{5,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2},{3,5},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,3,4,6},{5,7},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,8},{2},{3,5},{4,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,6,8},{3},{4,5,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,3,8},{2,6,7},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,7},{3,6},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1},{2,5,8},{3},{4,6,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2,4,6},{3},{5,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1},{2,3,5,8},{4,7},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,5,7,8},{2,3,4,6}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,3,6,8},{2,4,5,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,6,8},{3,4,5,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,2,6},{3,4,5,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,8},{2,3,5,6},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,5},{2,3,4,8},{6,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4,6,7},{2,3,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,8},{2,4,6,7},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,7,8},{2,3,6},{5}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,7,8},{2,6},{3,5}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,8},{2,3,5,7},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1},{2},{3},{4},{5,7},{6,8}} => [1,1,1,1,2,2] => [[3,2,1,1,1,1],[1]] => ([(0,2),(2,1)],3) => 0
{{1},{2},{3},{4,6},{5,8},{7}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,4},{3,8},{5},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3},{4,7},{5,8},{6}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2},{3},{4,6,7},{5,8}} => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,5},{3,8},{4},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1},{2,4,5},{3,8},{6},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1,2,5,7},{3},{4,6,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,6,7},{3,4,5,8}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,6},{2,5,7,8},{3,4}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,5,7},{2,3,6,8},{4}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,3,7},{2,4,5,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,5,8},{3,4,6,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1},{2,3,5,7},{4,6},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,3,5,7},{4,6,8}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1},{2,3,5,8},{4,6,7}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,7,8},{2},{3,5},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1},{2,4,7,8},{3,5},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4,7,8},{3,6},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,5,6,8},{2,3,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5},{2,3,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,6,8},{2,3,5,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,4,8},{2,3,6,7},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,5},{2,6,7,8},{3,4}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2,6},{3,5,7,8},{4}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,5,6},{2},{3},{4,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,3,5},{2},{4,6},{7},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,3,6},{2},{4},{5,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6},{2},{3},{4},{5,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2},{3},{4,6},{7},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4},{2},{3,6},{5},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2,5},{3,6},{4},{7},{8}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,4,6},{2},{3,5,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,6},{2},{3},{4,7},{5},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,6},{2},{3},{4,7},{5,8}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5},{2},{3},{4,7},{6,8}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
{{1,5,7},{2},{3},{4,6},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2},{3,6},{5},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,5},{2},{3,7},{4},{6},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,5},{2,3,4,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,5},{2,3,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4,5,8},{2,3,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,8},{2,3,4,6},{5,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,7},{2,3,5,6},{4,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,4,7,8},{2,3,5,6}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,5,7,8},{2,4},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5,7,8},{2,3},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,5,6,8},{2,3},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,6,7,8},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,4,7},{2},{5,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,6,7},{2,4,5,8},{3}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,3,5,8},{2,7},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4,5,8},{2,3,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,4},{3,5,6,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1},{2,3,4,6},{5,7,8}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,7},{3},{4,6,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,4,6},{3},{5,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,5,7},{3},{4,6,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,4,6,8},{2},{3,5,7}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1},{2,7},{3,8},{4},{5},{6}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
{{1,5,6},{2},{3,8},{4},{7}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1},{2},{3},{4,6,8},{5,7}} => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5,6,7},{2,4},{3,8}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,7},{3,8},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,2,6,7},{3},{4,8},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3,4,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3,4,6},{2,8},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,7},{3,4,6,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,3,4,8},{2,7},{5,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,7},{2,3,5,8},{4,6}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2},{3,5,7,8},{4,6}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,5,7,8},{2,6},{3,4}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,4},{2,5,6,8},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,5},{2,3,4,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3,6,7},{2,8},{4,5}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,7},{2,5,6,8},{3,4}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,2,3,7},{4},{5,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4},{2,3,5,6},{7},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,3,5},{2,4},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4},{2,5,6,7},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,4,7},{2},{3},{5,6,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 0
{{1,6},{2,4,7,8},{3,5}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3,4},{2,5},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,4,5},{2},{3,6,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1},{2,4,5,6},{3,7},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1,4,5},{2},{3,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 3
{{1,2},{3,4,6,8},{5,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3,7},{2,4,5},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,4},{2,3,6,8},{5,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3,6,8},{2,7},{4,5}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1,2,4},{3,6,7,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,8},{2},{3,6},{5},{7}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
{{1,2,4},{3,5,6,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,3,6},{4},{5,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
{{1,2},{3},{4,7},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
{{1,6,7},{2,3,5,8},{4}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,3,5,8},{2,4,6,7}} => [4,4] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 0
{{1,5,7,8},{2,3,6},{4}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,2,3,6},{4},{5,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,5,7,8},{2},{3,4,6}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,3,4,6},{2},{5,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,2,4},{3,5,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,6},{2,3,5,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,6},{2,3,5,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
{{1,3,4},{2,5,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,4,5,6},{2},{3,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1},{2,3,6,8},{4,7},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
{{1},{2,4,5,7},{3,6,8}} => [1,4,3] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,6,8},{3},{4,5,7}} => [4,1,3] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 0
{{1,4,6,8},{2,3,5},{7}} => [4,3,1] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
{{1,3,6},{2,4,5,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
{{1,2,5,7},{3,8},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
{{1},{2,3,6},{4,7},{5},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,4,7},{3,8},{5},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,4,7},{3,5},{6},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,5,8},{3,6},{4},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
{{1},{2,4,6,7},{3,5},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
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Description
Number of indecomposable injective modules with projective dimension 2.
Map
dominating sublattice
Description
Return the sublattice of the dominance order induced by the support of the expansion of the skew Schur function into Schur functions.
Consider the expansion of the skew Schur function sλ/μ=∑νcλμ,νsν as a linear combination of straight Schur functions.
It is shown in [1] that the subposet of the dominance order whose elements are the partitions ν with cλμ,ν>0 form a lattice.
The example λ=(52,42,1) and μ=(3,2) shows that this lattice is not a sublattice of the dominance order.
Consider the expansion of the skew Schur function sλ/μ=∑νcλμ,νsν as a linear combination of straight Schur functions.
It is shown in [1] that the subposet of the dominance order whose elements are the partitions ν with cλμ,ν>0 form a lattice.
The example λ=(52,42,1) and μ=(3,2) shows that this lattice is not a sublattice of the dominance order.
Map
to ribbon
Description
The ribbon shape corresponding to an integer composition.
For an integer composition (a1,…,an), this is the ribbon shape whose ith row from the bottom has ai cells.
For an integer composition (a1,…,an), this is the ribbon shape whose ith row from the bottom has ai cells.
Map
to composition
Description
The integer composition of block sizes of a set partition.
For a set partition of {1,2,…,n}, this is the integer composition of n obtained by sorting the blocks by their minimal element and then taking the block sizes.
For a set partition of {1,2,…,n}, this is the integer composition of n obtained by sorting the blocks by their minimal element and then taking the block sizes.
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