/// <summary>
/// Adds a new edge to the graph
/// </summary>
/// <param name="transition"></param>
public void AddTransition(StateTransition transition)
{
if (!_transitionMap.ContainsKey(transition.From()))
{
_transitionMap.Add(transition.From(), new HashSet <StateTransition>());
}
if (!_transitionMap[transition.From()].Contains(transition))
{
_transitionMap[transition.From()].Add(transition);
}
}
/// <summary>
/// Solves the bucket game for the provided parameters
/// </summary>
/// <param name="bucket1capacity">Capacity of the first bucket</param>
/// <param name="bucket2capacity">Capacity of the second bucket</param>
/// <param name="target">The target value desired</param>
/// <returns></returns>
/// <remarks>
/// This solution uses a graph generation and shortest path algorithm
/// </remarks>
public static IEnumerable <StateTransition> Solve(int bucket1capacity, int bucket2capacity, int target)
{
GameState root = new GameState(0, 0);
HashSet <StateTransition> exploredTransitions = new HashSet <StateTransition>();
HashSet <GameState> exploredStates = new HashSet <GameState>();
Stack <GameState> stateStack = new Stack <GameState>();
SolutionGraph graph = new SolutionGraph();
stateStack.Push(root);
while (stateStack.Count > 0)
{
GameState state = stateStack.Pop();
exploredStates.Add(state);
IList <StateTransition> possibleTransitions = StateTransition.GetPossibleTransitions(state, bucket1capacity, bucket2capacity);
foreach (StateTransition transition in possibleTransitions)
{
if (!exploredStates.Contains(transition.To()))
{
stateStack.Push(transition.To());
}
if (!exploredTransitions.Contains(transition))
{
graph.AddTransition(transition);
}
}
}
return(graph.GetSolutionTransitions(target));
}