done

knapsack.java

@@ -0,0 +1,52 @@
+import java.util.*;
+public class knapsack{
+    static int[][] dp;
+    static int knap(int[] wt, int[] v, int n, int W){
+        if(n==0 || W==0){
+            return 0;
+        }
+        if(dp[n][W]!=-1){
+            return dp[n][W];
+        }
+        if(wt[n-1]>W){
+            dp[n][W]= knap(wt,v,n-1,W);
+        }
+        else{
+            int include = v[n-1]+knap(wt,v,n-1,W-wt[n-1]);
+            int exclude = knap(wt,v,n-1,W);
+            dp[n][W] = Math.max(include, exclude);
+        }
+        return dp[n][W];
+
+    }
+    public static void main(String[] args){
+        Scanner sc = new Scanner(System.in);
+        System.out.println("\nENter number of items: ");
+        int n = sc.nextInt();
+        int w[] = new int[n];
+        int values[] = new int[n];
+
+        System.out.println("\nEnter weights: ");
+        for(int i =0;i<n;i++){
+            w[i] = sc.nextInt();
+        }
+        System.out.println("\nEnter values: ");
+        for(int i =0;i<n;i++){
+            values[i] = sc.nextInt();
+        }
+
+        System.out.println("\nEnter capacity: ");
+        int W = sc.nextInt();
+
+        dp = new int[n+1][W+1];
+        for(int i =0;i<=n;i++){
+            for(int j=0;j<=W;j++){
+                dp[i][j] = -1;
+            }
+        }
+        int ans = knap(w,values,n,W);
+        System.out.println("\nMax value: "+ans);
+        sc.close();
+    }
+
+}