CareerCup

1. Find box with fewest items f.
2. Divide each box count by f.
- The result becomes how many items you return per pick
- The remainder represents how many picks you return one additional item

Example 1.
BoxCounts: 3, 25, 92
box1 = 1, remainder 0.
box2 = 8 remainder 1.
box3 = 30 remainder 2.

1,9,31
1,8,31
1,8,30

public class Box
{
	public static int smallestBox;
	bool isInitialized;
	int count;
	int countPerTurn;
	int remainder;
	
	public Box(int numItems)
	{
		Box.smallestBox = numItems < ProportionalPickBox.smallestBox ? numItems : Box.smallestBox;
		this.count = numItems;
	}
	
	public int PickCount
	{
		get
		{
			if (!isInitialized)
			{
			   this.countPerTurn = count/smallestBox;
			   this.remainder = count % smallestBox;
			}
			int val = countPerTurn + Math.Max(0,remainder--));
			count -= Val;
			return val;
		}
	}
}

public void Main()
{
	Box[] boxes = new Box[3];
	boxes[0] = new Box(72);
	boxes[1] = new Box(39);
	boxes[2] = new Box(3);
	
	for (int v=0; v < Box.SmallestBox; v++)
	{
		Console.Write("Step " + v.ToString());
		Console.Write("\t Pick " + boxes[0].PickCount.ToString())
		Console.Write("\t Pick " + boxes[1].PickCount.ToString())
		Console.Write("\t Pick " + boxes[2].PickCount.ToString())
	}
}

shouldn't it be that u sum the amount of each box and pick an item from a box with probability (box amt)/total amount ?