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17.Knapsack.cpp

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+/*
+ * This program solves 1/0 Knapsack program using Dynamic Programming
+ *
+ *      Coded by: Abdurrezak EFE
+ * */
+
+#include <iostream>
+#include <algorithm>
+#include <string>
+#include <stdio.h>
+using namespace std;
+
+int d[10000][10000]={0}; //global dynamic programming table
+int v[10000]={0};
+int w[10000]={0};
+
+int knapsack(int i, int j)
+{
+    if(j<0)
+        return -10000000;
+
+    if(i <= 0 || j <= 0)
+        return 0;
+
+    if(d[i][j]) //if it was calculated return it
+        return d[i][j];
+
+    d[i][j] = max(knapsack(i-1, j), knapsack(i-1, j - w[i]) + v[i]); //memoizing the value
+
+    return d[i][j];
+}
+
+int main()
+{
+    int n, m; //respectively size of the knapsack and number of items
+    cin >> n >> m;
+
+    for(int i=1;i<=n;i++)
+        cin >> v[i] >> w[i];
+
+    cout << knapsack(n,m);
+
+}