public void PourFrom_LargeToSmallOverflow_VolumeIsCorrect()
{
var bottleA = new Bottle {Capacity = 5, Volume = 5};
var bottleB = new Bottle {Capacity = 3};
bottleA.PourInto(bottleB);
Assert.That(bottleA.Volume, Is.EqualTo(2));
Assert.That(bottleB.Volume, Is.EqualTo(3));
}
public void PourFrom_SmallToLargeOverflow_VolumeIsCorrect()
{
var bottleA = new Bottle {Capacity = 5, Volume = 3};
var bottleB = new Bottle {Capacity = 3, Volume = 3};
bottleB.PourInto(bottleA);
Assert.That(bottleA.Volume, Is.EqualTo(5));
Assert.That(bottleB.Volume, Is.EqualTo(1));
}
public void PourInto(Bottle b)
{
var free = b.Capacity - b.Volume;
if (free >= Volume)
{
b.Volume += Volume;
Volume = 0;
return;
}
b.Volume = b.Capacity;
Volume -= free;
}
public static List<string> Solve(int capacityBottleA, int capacityBottleB, int desiredVolume)
{
var bottleA = new Bottle {Capacity = capacityBottleA};
var bottleB = new Bottle {Capacity = capacityBottleB};
var solution = string.Empty;
for (var i = 1; i < 8; i++)
{
var s = Solve(solution, 0, i, bottleA, bottleB, desiredVolume);
if (s.Any()) return s;
}
return new List<string>();
}
static void Main(string[] args)
{
while (true)
{
Console.WriteLine("Set first bottles capacity:");
var cap1 = Console.ReadLine();
var bottle1 = new Bottle(Convert.ToInt32(cap1));
Console.WriteLine();
Console.WriteLine("Set second bottles capacity:");
var cap2 = Console.ReadLine();
var bottle2 = new Bottle(Convert.ToInt32(cap2));
Console.WriteLine();
Console.WriteLine("Set target value:");
var targ = Console.ReadLine();
var target = Convert.ToInt32(targ);
if (target > bottle1.Capacity && target > bottle2.Capacity || target <= 0)
{
throw new ArgumentException("Unreachable target value");
}
var path = new List <Tuple <string, int, int> >();
path.Add(new Tuple <string, int, int>("Start. " + bottle1.Name + ": " + bottle1.Ammount + "/" + bottle1.Capacity + ". "
+ bottle2.Name + ": " + bottle2.Ammount + "/" + bottle2.Capacity + ". ", 0, 0));
path = FindPath(bottle1, bottle2, target, path);
Console.WriteLine();
foreach (var step in path)
{
Console.WriteLine(step.Item1);
}
Console.ReadLine();
}
}
public static List <Tuple <string, int, int> > FindPath(Bottle bottle1, Bottle bottle2, int target, List <Tuple <string, int, int> > path)
{
if (bottle1.Ammount == target || bottle2.Ammount == target)
{
return(path);
}
var bestPath = new List <Tuple <string, int, int> >(path);
var subSteps = Int32.MaxValue;
var bottle1StartAmmount = bottle1.Ammount;
var bottle2StartAmmount = bottle2.Ammount;
//Never fill a bottle if the other is full
if (!bottle2.IsFull() && bottle1.Fill())
{
//Check if we have a duplicate state. Only proceed if we are in a unique state
var ammount1 = bottle1.Ammount;
var ammount2 = bottle2.Ammount;
if (!path.Exists(x => x.Item2 == ammount1 && x.Item3 == ammount2))
{
//Copy path
var subPath = new List <Tuple <string, int, int> >(path);
subPath.Add(new Tuple <string, int, int>("Fill " + bottle1.Name + ". " + bottle1.Name + ": " + bottle1.Ammount + "/" + bottle1.Capacity + ". "
+ bottle2.Name + ": " + bottle2.Ammount + "/" + bottle2.Capacity + ". ", bottle1.Ammount, bottle2.Ammount));
//Continue recursive search
var p = FindPath(bottle1, bottle2, target, subPath);
if (p.Count < subSteps)
{
subSteps = p.Count;
bestPath = p;
}
}
}
//Reset bottles for new branch
bottle1.Ammount = bottle1StartAmmount;
bottle2.Ammount = bottle2StartAmmount;
if (!bottle1.IsFull() && bottle2.Fill())
{
var ammount1 = bottle1.Ammount;
var ammount2 = bottle2.Ammount;
if (!path.Exists(x => x.Item2 == ammount1 && x.Item3 == ammount2))
{
var subPath = new List <Tuple <string, int, int> >(path);
subPath.Add(new Tuple <string, int, int>("Fill " + bottle2.Name + ". " + bottle1.Name + ": " + bottle1.Ammount + "/" + bottle1.Capacity + ". "
+ bottle2.Name + ": " + bottle2.Ammount + "/" + bottle2.Capacity + ". ", bottle1.Ammount, bottle2.Ammount));
var p = FindPath(bottle1, bottle2, target, subPath);
if (p.Count < subSteps)
{
subSteps = p.Count;
bestPath = p;
}
}
}
bottle1.Ammount = bottle1StartAmmount;
bottle2.Ammount = bottle2StartAmmount;
//Never empty a bottle if the other is empty
if (bottle2.Ammount != 0 && bottle1.Pour())
{
var ammount1 = bottle1.Ammount;
var ammount2 = bottle2.Ammount;
if (!path.Exists(x => x.Item2 == ammount1 && x.Item3 == ammount2))
{
var subPath = new List <Tuple <string, int, int> >(path);
subPath.Add(new Tuple <string, int, int>("Pour " + bottle1.Name + ". " + bottle1.Name + ": " + bottle1.Ammount + "/" + bottle1.Capacity + ". "
+ bottle2.Name + ": " + bottle2.Ammount + "/" + bottle2.Capacity + ". ", bottle1.Ammount, bottle2.Ammount));
var p = FindPath(bottle1, bottle2, target, subPath);
if (p.Count < subSteps)
{
subSteps = p.Count;
bestPath = p;
}
}
}
bottle1.Ammount = bottle1StartAmmount;
bottle2.Ammount = bottle2StartAmmount;
if (bottle2.Ammount != 0 && bottle2.Pour())
{
var ammount1 = bottle1.Ammount;
var ammount2 = bottle2.Ammount;
if (!path.Exists(x => x.Item2 == ammount1 && x.Item3 == ammount2))
{
var subPath = new List <Tuple <string, int, int> >(path);
subPath.Add(new Tuple <string, int, int>("Pour " + bottle2.Name + ". " + bottle1.Name + ": " + bottle1.Ammount + "/" + bottle1.Capacity + ". "
+ bottle2.Name + ": " + bottle2.Ammount + "/" + bottle2.Capacity + ". ", bottle1.Ammount, bottle2.Ammount));
var p = FindPath(bottle1, bottle2, target, subPath);
if (p.Count < subSteps)
{
subSteps = p.Count;
bestPath = p;
}
}
}
bottle1.Ammount = bottle1StartAmmount;
bottle2.Ammount = bottle2StartAmmount;
if (bottle1.Transfer(ref bottle2))
{
var ammount1 = bottle1.Ammount;
var ammount2 = bottle2.Ammount;
if (!path.Exists(x => x.Item2 == ammount1 && x.Item3 == ammount2))
{
var subPath = new List <Tuple <string, int, int> >(path);
subPath.Add(new Tuple <string, int, int>("Transfer " + bottle1.Name + " into " + bottle2.Name + ". " + bottle1.Name + ": " + bottle1.Ammount + "/" + bottle1.Capacity + ". "
+ bottle2.Name + ": " + bottle2.Ammount + "/" + bottle2.Capacity + ". ", bottle1.Ammount, bottle2.Ammount));
var p = FindPath(bottle1, bottle2, target, subPath);
if (p.Count < subSteps)
{
subSteps = p.Count;
bestPath = p;
}
}
}
bottle1.Ammount = bottle1StartAmmount;
bottle2.Ammount = bottle2StartAmmount;
if (bottle2.Transfer(ref bottle1))
{
var ammount1 = bottle1.Ammount;
var ammount2 = bottle2.Ammount;
if (!path.Exists(x => x.Item2 == ammount1 && x.Item3 == ammount2))
{
var subPath = new List <Tuple <string, int, int> >(path);
subPath.Add(new Tuple <string, int, int>("Transfer " + bottle2.Name + " into " + bottle1.Name + ". " + bottle1.Name + ": " + bottle1.Ammount + "/" + bottle1.Capacity + ". "
+ bottle2.Name + ": " + bottle2.Ammount + "/" + bottle2.Capacity + ". ", bottle1.Ammount, bottle2.Ammount));
var p = FindPath(bottle1, bottle2, target, subPath);
if (p.Count < subSteps)
{
subSteps = p.Count;
bestPath = p;
}
}
}
return(bestPath);
}
private static void PruneActions(Bottle bottleA, Bottle bottleB, Dictionary<string, Action<Bottle, Bottle>> actions)
{
if (bottleA.IsEmpty())
{
actions.Remove("A -> B, ");
actions.Remove("E(A), ");
}
if (bottleB.IsEmpty())
{
actions.Remove("B -> A, ");
actions.Remove("E(B), ");
}
if (bottleA.IsFull())
{
actions.Remove("B -> A, ");
actions.Remove("F(A), ");
}
if (bottleB.IsFull())
{
actions.Remove("A -> B, ");
actions.Remove("F(B), ");
}
}
public Bottle(Bottle b)
{
Capacity = b.Capacity;
Volume = b.Volume;
}
private static List<string> Solve(string path, int depth, int limit, Bottle bottleA, Bottle bottleB, int desiredVolume)
{
if (bottleA.Volume == desiredVolume)
return new List<string> {path + "A ;"};
if (bottleB.Volume == desiredVolume)
return new List<string> {path + "B ;"};
if (depth > limit)
return new List<string> { path + ";" };
var actions = new Dictionary<string, Action<Bottle, Bottle>>
{
{"A -> B, ", (a, b) => a.PourInto(b)},
{"B -> A, ", (a, b) => b.PourInto(a)},
{"E(A), ", (a, b) => a.Empty()},
{"E(B), ", (a, b) => b.Empty()},
{"F(A), ", (a, b) => a.Fill()},
{"F(B), ", (a, b) => b.Fill()},
};
PruneActions(bottleA, bottleB, actions);
return actions.Select(action =>
{
var newBottleA = new Bottle(bottleA);
var newBottleB = new Bottle(bottleB);
action.Value(newBottleA, newBottleB);
var s = Solve(path + action.Key, depth+1, limit, newBottleA, newBottleB, desiredVolume);
return s;
}).Aggregate(new List<string>(), (x, y) => x.Concat(y).ToList()).Where(s => s.EndsWith("A ;") || s.EndsWith("B ;")).ToList();
}