6. Design and implement C/C++ Program to solve 0/1 Knapsack problem using Dynamic Programming method.
PROGRAM:
#include<stdio.h>
int w[10],p[10],n;
int max(int a,int b)
{
return a>b?a:b;
}
int knap(int i,int m)
{
if(i==n) return w[i]>m?0:p[i];
if(w[i]>m) return knap(i+1,m);
return max(knap(i+1,m),knap(i+1,m-w[i])+p[i]);
}
int main()
{
int m,i,max_profit;
printf("\nEnter the no. of objects:");
scanf("%d",&n);
printf("\nEnter the knapsack capacity:");
scanf("%d",&m);
printf("\nEnter profit followed by weight:\n");
for(i=1; i<=n; i++)
scanf("%d %d",&p[i],&w[i]);
max_profit=knap(1,m);
printf("\nMax profit=%d",max_profit);
return 0;
}
OUTPUT:
Enter the no. of objects:4
Enter the knapsack capacity:5
Enter profit followed by weight:
12 3
43 5
45 2
55 3
Max profit=100