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!). I 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 Re-enter n and m 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 that is of improper type such as characters, symbols, or floats. 1) You may create your own factorial () and power () functions. 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. But do not use