static double MinCostForAcquiring(IEnumerable<Product> productsToBuy, Purchase startingPoint, IEnumerable<Location> locations, double gasPrice, IDictionary<string, double> memoizer)
{
if (!productsToBuy.Any())
{
return startingPoint.Location.DistanceTo(locations.GetHome()) * gasPrice;
}
string _key = string.Format("{0}:{1}:{2}", startingPoint.Location.Name, startingPoint.IsPerishable.ToString(), productsToBuy.Select(p => p.Name).Aggregate((r, n) => r + ";" + n));
if (memoizer.ContainsKey(_key))
{
return memoizer[_key];
}
var _result = productsToBuy.SelectMany(p => startingPoint.PossiblePurchasesOf(p, locations, gasPrice)
.Select(pur => pur.Cost + MinCostForAcquiring(productsToBuy.Without(p),
pur, locations, gasPrice, memoizer)))
.Min();
memoizer.Add(_key, _result);
return _result;
}
static void Main(string[] args)
{
string _inputFile = args[0];
string _outputFile = Path.ChangeExtension(_inputFile, "out");
var _start = DateTime.Now;
using (var _input = new StreamReader(_inputFile))
{
using (var _output = new StreamWriter(_outputFile))
{
var _testCases = _input.ReadLine();
string _line;
int _case = 0;
while((_line = _input.ReadLine()) != null)
{
++_case;
var _parts = _line.Split(' ');
var _numOfProducts = int.Parse(_parts[0]);
var _numOfShops = int.Parse(_parts[1]);
var _gasPrice = double.Parse(_parts[2]);
IEnumerable<Product> _products = _input.ReadLine().Split(' ').Select(s => new Product(s));
var _locations = new List<Location>();
var _home = new Location("home", 0, 0);
_locations.Add(_home);
Enumerable.Range(1, _numOfShops).ToList().ForEach(x => {
_parts = _input.ReadLine().Split(' ');
var _loc = new Location(string.Format("{0}.{1}", _case, x.ToString()), int.Parse(_parts[0]), int.Parse(_parts[1]));
_loc.Products = _parts.Skip(2).Select(s => {
var _a = s.Split(':');
return _products.GetByName(_a[0]).Clone(double.Parse(_a[1]));
});
_locations.Add(_loc);
});
var _firstOne = new Purchase() { Location = _locations.GetHome(), Cost=0.0, IsPerishable=false, Product=null};
var _memoizer = new Dictionary<string, double>();
Console.WriteLine(string.Format("Calculating Case # {0}...", _case));
var _minAmount = MinCostForAcquiring(_products, _firstOne, _locations, _gasPrice, _memoizer);
Console.WriteLine(string.Format("Done...result={0}", _minAmount));
Console.WriteLine();
_output.WriteLine(string.Format("Case #{0}: {1}", _case, Math.Round(_minAmount, 7).ToString("F7", new CultureInfo("en-US"))));
}
}
}
Console.WriteLine(string.Format("Duration: {0}", DateTime.Now.Subtract(_start).ToString()));
Console.ReadLine();
}