Code:
#include stdio.h
#include conio.h
#include iostream
using namespace std;
// 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()
{
cout << "Enter the number of items in a Knapsack:";
int n, W;
cin >> n;
int val[n], wt[n];
for (int i = 0; i < n; i++)
{
cout << "Enter value and weight for item " << i << ":";
cin >> val[i];
cin >> wt[i];
}
// int val[] = { 60, 100, 120 };
// int wt[] = { 10, 20, 30 };
// int W = 50;
cout << "Enter the capacity of knapsack";
cin >> W;
cout << knapSack(W, wt, val, n);
return 0;
}
Output:
Enter the number of items in a Knapsack:5
Enter value and weight for item 0:11 111
Enter value and weight for item 1:22 121
Enter value and weight for item 2:33 131
Enter value and weight for item 3:44 141
Enter value and weight for item 4:55 151
Enter the capacity of knapsack 300
99
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