Added Knapsack 0/1 in C

Dynamic-Programming/knapsack01dp.c

@@ -0,0 +1,47 @@
+//Knapsack 0/1 algorithm of this code takes θ(nw) times
+//table c has (n + 1).(w + 1) entries, where each entry requires θ(1)  time to compute.
+//where n is the number of item and w is the weight
+
+#include<stdio.h>
+#include<stdlib.h>
+#define MAX 100
+
+void knapsack01(int v[], int wt[], int n, int M) {
+    int c[MAX][MAX],w,i;
+    int keep[MAX][MAX];
+    for (w = 0; w <= M; w++) {
+        c[0][w] = 0;
+    }
+    for (i = 0; i <= n; i++) {
+        c[i][0] = 0;
+    }
+    for (i = 1; i <= n; i++) {
+        for (w = 1; w <= M; w++) {
+            if (wt[i] <= w && (v[i] + c[i-1][w-wt[i]] > c[i-1][w])) {
+                c[i][w] = v[i] + c[i-1][w-wt[i]];
+                keep[i][w] = 1;
+            }
+            else {
+                c[i][w] = c[i-1][w];
+                keep[i][w] = 0;
+            }
+        }
+    }
+    printf("\n\n Maximum Profit = %d",c[n][M]);
+}
+
+int main() {
+    int n,i;
+    int weight[MAX], value[MAX];
+    int M = 0;
+    printf("Enter the number of items: \n");
+    scanf("%d",&n);
+    for (i = 1; i <= n; i++) {
+        printf("Item [%d] Weight and Value: ",i);
+        scanf("%d %d",&weight[i],&value[i]);
+    }
+    printf("\nEnter the capacity of the bag: ");
+    scanf("%d",&M);
+    knapsack01(value,weight,n,M);
+    return 0;
+}