DynamicProgramming/Knapsack.java

package DynamicProgramming;

/**
 * A DynamicProgramming 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));
    }
}