[100pts] Change the following C++ program to C. You must verify correctness by compiling with gcc:

// A fancy C++ program that calculates n!
#include <iostream>
using namespace std;

int factorial(int);
  
int main() {
  int num;
  cout << "Enter a number: ";
  cin >> num;

  int fac = factorial(num);
  cout << num << "! = " << fac;
  
  return 0;
}

// Compute n!
int factorial(int n) {
  int prod = 1;
  for( int i = 1; i <= n; i++ ) {
    prod = prod * i;
  }

  return prod;
}

Turn in this page, along with a printout of your code (using codeprint) and a screen capture showing it compile with gcc and showing it run twice with input 4 and 8 like so:

> Enter a number: 4
4! = 24
> Enter a number: 8
8! = 40320