For each case, we want to plot input (n x-axis) verses execution time (t y-axis). Each of the above cases has two programs to solve the corresponding problem. We want to compare the behavior of both programs (i.e. practical comparison) by prepare a figure using Excel. Each figure should have two lines, one for the first program and the other for the second program. In addition to the figures, provide the collected data in separated tables.

Case 2: Factorial

Case 2: Compute the factorial of an integer. The factorial of an integer can be found using an iterative program or a recursive program.

Program 1 (iterative)	Program 2 (recursive)
#include using namespace std; main() { int n,i,fact = 1; cout<<"input n: "; cin>>n; for(i=1;i<=n;i++) fact=fact*i; cout< }	#include using namespace std; int fact(int n) { if (n==0) return 1; else return n*fact(n-1); } main() { int n; cout<<"input n: "; cin>>n; cout< }

Case 2: Compute the factorial of an integer. The factorial of an integer can be found using an iterative program or a recursive program.

Program 1 (iterative)	Program 2 (recursive)
#include using namespace std; main() { int n,i,fact = 1; cout<<"input n: "; cin>>n; for(i=1;i<=n;i++) fact=fact*i; cout< }	#include using namespace std; int fact(int n) { if (n==0) return 1; else return n*fact(n-1); } main() { int n; cout<<"input n: "; cin>>n; cout< }