Added 01_knapsack0-1.c

Algorithms/Knapsack/01_knapsack0-1.c

@@ -0,0 +1,41 @@
+#include <stdio.h>
+
+// A utility function that returns
+// maximum of two integers
+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
+int knapSack(int W, int wt[], int val[], int n)
+{
+    // Base Case
+    if (n == 0 || W == 0)
+        return 0;
+
+    // If weight of the nth item is more than
+    // Knapsack capacity W, then this item cannot
+    // be included in the optimal solution
+    if (wt[n - 1] > W)
+        return knapSack(W, wt, val, n - 1);
+
+    // Return the maximum of two cases:
+    // (1) nth item included
+    // (2) not included
+    else
+        return max(
+            val[n - 1]
+                + knapSack(W - wt[n - 1], 
+                           wt, val, n - 1),
+            knapSack(W, wt, val, n - 1));
+}
+
+// Driver program to test above function
+int main()
+{
+    int val[] = { 60, 100, 120 };
+    int wt[] = { 10, 20, 30 };
+    int W = 50;
+    int n = sizeof(val) / sizeof(val[0]);
+    printf("%d", knapSack(W, wt, val, n));
+    return 0;
+}