Dynamic Programming/Knapsack.java

// A Dynamic Programming based solution for 0-1 Knapsack problem

public class Knapsack
{
    
	private static int knapSack(int W, int wt[], int val[], int n)
	{
		int i, w;
	int rv[][] = new int[n+1][W+1];    //rv means return value
	
	// Build table rv[][] in bottom up manner
	for (i = 0; i <= n; i++)
	{
		for (w = 0; w <= W; w++)
		{
			if (i==0 || w==0)
				rv[i][w] = 0;
			else if (wt[i-1] <= w)
				rv[i][w] = Math.max(val[i-1] + rv[i-1][w-wt[i-1]], rv[i-1][w]);
			else
				rv[i][w] = rv[i-1][w];
		}
	}
	
	return rv[n][W];
	}


	// Driver program to test above function
	public static void main(String args[])
	{
		int val[] = new int[]{50, 100, 130};
	int wt[] = new int[]{10, 20, 40};
	int W = 50;
	int n = val.length;
	System.out.println(knapSack(W, wt, val, n));
	}
}