By difinittion, n! is the product of all positive integers less than or equal to n, where n is non-negative integer. For example, 5!=5*4*3*2*1 = 120. Now write a function int factorial(int n) as below, and write a program to prompt a user to type a non-negative intege. Your program should call function factorial() to calculate all factorials of integers which are less than or equal to user's input integer.

Figure 2: A sample output of the program

$ Please type a non-negative integer:

$5

$ The factorial sequences less than or equal to 5 is: n n!

01
11
22
36

4 24

5 120