package com.thealgorithms.dynamicprogramming;

// A Dynamic Programming based solution
// for 0-1 Knapsack problem
public class DyanamicProgrammingKnapsack {
    // 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] = Math.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));
    }
}