public RemainderState(int remainder, int distance, int digit, RemainderState previous)
{
this.Remainder = remainder;
this.Distance = distance;
this.Digit = digit;
this.Previous = previous;
}
public static String Construct(int a)
{
Dictionary <int, RemainderState> states = new Dictionary <int, RemainderState>();
SortedSet <int> queueRemainders = new SortedSet <int>();
Queue <int> queue = new Queue <int>();
RemainderState currentState = new RemainderState(RemainderState.START_REMAINDER, 0, 0, null), oldState;
queue.Enqueue(currentState.Remainder);
states[currentState.Remainder] = currentState;
queueRemainders.Add(currentState.Remainder);
while (queue.Count > 0)
{
currentState = states[queue.Dequeue()];
queueRemainders.Remove(currentState.Remainder);
foreach (RemainderState newState in currentState.Visit(a))
{
if (states.TryGetValue(newState.Remainder, out oldState))
{
if (oldState.Distance > newState.Distance || oldState.Distance == newState.Distance && oldState.Digit > newState.Digit)
{
states[newState.Remainder] = newState;
}
}
else
{
states[newState.Remainder] = newState;
queue.Enqueue(newState.Remainder);
}
}
}
if (states.TryGetValue(0, out currentState))
{
StringBuilder sb = new StringBuilder();
while (currentState.Remainder != RemainderState.START_REMAINDER)
{
sb.Append(currentState.Digit);
currentState = currentState.Previous;
}
return(sb.ToString());
}
return("Nope");
}