Java/src/main/java/com/thealgorithms/dynamicprogramming/DyanamicProgrammingKnapsack.java

package com.thealgorithms.dynamicprogramming;

// A Dynamic Programming based solution
// for 0-1 Knapsack problem
public class DyanamicProgrammingKnapsack {

    static int max(int a, int b) {
        return (a > b) ? a : b;
    }

    // Returns the maximum value that can
    // be put in a knapsack of capacity W
    static int knapSack(int W, int wt[], int val[], int n) {
        int i, w;
        int K[][] = new int[n + 1][W + 1];

        // Build table K[][] in bottom up manner
        for (i = 0; i <= n; i++) {
            for (w = 0; w <= W; w++) {
                if (i == 0 || w == 0) {
                    K[i][w] = 0;
                } else if (wt[i - 1] <= w) {
                    K[i][w] = max(val[i - 1] + K[i - 1][w - wt[i - 1]], K[i - 1][w]);
                } else {
                    K[i][w] = K[i - 1][w];
                }
            }
        }

        return K[n][W];
    }

    // Driver code
    public static void main(String args[]) {
        int val[] = new int[]{60, 100, 120};
        int wt[] = new int[]{10, 20, 30};
        int W = 50;
        int n = val.length;
        System.out.println(knapSack(W, wt, val, n));
    }
}