Doublet Cheater

Doublet.cs

void Main()
{
	HashSet<string> allWords = new HashSet<string>(File.ReadAllText(@"C:\T9.txt")
	                         .Split(new char[]{' ','\n'},StringSplitOptions.RemoveEmptyEntries));

	Transform2("myth","fact",allWords).Dump("Transform2");
	Transform2("damp","like",allWords).Dump("Transform2");
	Transform2("door","room",allWords).Dump("Transform2");
	Transform2("dawn","boat",allWords).Dump("Transform2");
	Transform2("dear","read",allWords).Dump("Transform2");
	Transform2("ornament","oriental",allWords).Dump("Transform2");
	
}
List<string> Transform2(string start, string stop, 
                        HashSet<string> allWords)
{
	List<string> ladder = new List<string>();
	HashSet<string> visited = new HashSet<string>();
	ladder.Add(start);
	string lastWord = string.Empty;
	while (start != stop)
	{
		var probableLadder = OneEditAway(start,stop,allWords)
		                        .OrderBy (item => item.Value);
		if(probableLadder.Count () == 1 
		 &&  probableLadder.First ().Key == ladder[ladder.Count - 2])
			//We saw a value before so we are caught up in an infinite loop. So break
			
				return new List<string>();
		if(probableLadder.Count ()!=0)
		{
			foreach (var pair in probableLadder)
			{
				if(!visited.Contains(pair.Key))
				{
					visited.Add(pair.Key);
					ladder.Add(pair.Key);
					start = pair.Key;
					break;
				}
			}
		}
		else //Nowhere to go from this current word. We are hitting a wall. return.
			return new List<string>();
	}
	return ladder;
	
}
int Hamming(string a,string b)
{
	if(a.Length!=b.Length)
		return int.MaxValue;
	else 
	{
		int dist = 0;
		for(int i = 0;i<a.Length;i++)
		{
			if(a[i] != b[i])
				dist++;
		}
		return dist;
	}
}


List<KeyValuePair<string,int>> OneEditAway(string word,string end, HashSet<string> dictionary)
{
	List<KeyValuePair<string,int>> all = new List<KeyValuePair<string,int>>();
	foreach (var w in dictionary)
	{
		if(Hamming(w,word)==1)
			all.Add(new KeyValuePair<string,int>(w,Hamming(w,end)));
	}
	return all;
}


// Define other methods and classes here