JavaAlgorithms/DynamicProgramming/Knapsack.java

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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) throws IllegalArgumentException {
if(wt == null || val == null)
throw new IllegalArgumentException();
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));
}
}