Create a complete program that contains the following: a) Create a looping menu with the following options: 1. Calculate n! (n factorial). 2. Calculate n to the power of m. 3. Exit program. b) If option 1 is selected: Request an integer value for n from 1 to 9 inclusive. - Validate that n is an integer. Re-enter n if n is not an integer. - Validate that n is less than 10. Re-enter n if n is not in the range. - Calculate and output n factorial (n!). Re- c) If option 2 is selected: Request integer values for n and m from 1 to 9 inclusive. - Validate that n and m are both integers n and if one of them is not an integer. - Validate that both n and m are from 1 to 9 inclusive. Re-enter n and m if one of them is not in the range. - Calculate and output n to the power of m. d) If option 3 is selected: - Exit the program. e) If an invalid option is selected: - Inform the user with the error. - Re-enter option. f) Use loops to create factorial and power operations: - Do not use library functions to do them. g) Use validate() function to validate all the input. 1) Do not use any Math functions such as pow (x,y) from $library.\; 2)\; Add\; comments\; to\; explain\; the\; algorithm\; of\; your\; program.\; 3)\; Keep\; your\; project\; coding\; clear\; with\; your\; own\; programming\; style$