List<Possibility> FindPossibilitiesForMultiplyCage(int dimension)
{
List<Possibility> possibilities = new List<Possibility>();
List<int> primeFactors = Helper.PrimeFactors(TargetValue);
primeFactors.Add(1);
MultiSet multisetOfPrimes = new MultiSet(primeFactors);
IEnumerable<Partition> partitions = multisetOfPrimes.Partition().Filter(CellCount, dimension);
foreach (var partion in partitions)
{
Possibility newPossibility = new Possibility(partion);
if (newPossibility.MaxRepeatCount <= this.RepeatCount
&& !possibilities.Contains(newPossibility, new SequenceComparer<Possibility>()))
possibilities.Add(newPossibility);
}
return possibilities;
}