Sultan Qaboos University College of Science - Department of Computer Science COMP2101: Introduction to Computer Science – SP2021 Programming Assignment 2 Due date: W7 Thursday: 18/03/2021, 23:55 pm (through Moodle) The purpose of this assignment is to practice the use of Python input/output, modules and selection control structures to develop a solution to the given problem. Your solution will consist of two parts: (i) your name, university id, section number and your program design (written as comments at the beginning of your program by defining the problem statement, input/output data and the algorithm in pseudocode), (ii) The corresponding Python program. Problem Definition The factorial of a number n (written n!) is the number times the factorial of itself minus one; and the factorial of 1 is, by definition, equals to 1. For example, the factorial of 2 is 2*1! = 2*1, and the factorial of 3 is 3*2! = 3*2*1=6, and so on. Implementing this definition using a computer program is relatively slow, instead Sterling's formula is used as an approximation of the factorial for large values. Sterling's formula is defined as follows: n! = e¬" n" V2 n n The exp(x) function in the ma th module gives the value of e raised to the power of x Write a Python program that: 1. Requests the user to enter 5 integer values of n greater than 10. It should check: a. if all entered values are greater than 10, then your program should: • output the message: "Thanks for entering 5 valid numbers greater than 10" calculate their factorial using sterling's formula allow the users to enter one of the following format types, which should be used to print the factorials of the numbers Default representation Scientific representation with default precision Non Scientific representation with 2 decimal precisions D S N validate the format type: > if the format type is "Default representation", then it should v display the results in a tabular format using "Default representation" as shown in Figurel. > else if the format type is "Scientific representation with default precision", then it should v display the results in a tabular format using "Scientific representation with default precision" as shown in Figure2. else if the format type is "Non Scientific representation", then it should V display the results in a tabular format using "Non Scientific representation with 2 decimal precisions" as shown in Figure3. otherwise, your program should display the following message as shown in Figure4: "You entered an invalid format type" b. otherwise, your program should output the following message: "Sorry you entered wrong numbers === ==> BYE"