This exercise will provide practice with writing loops using the Scanner to handle incorrect input from the user. It will also give you practice with pattern recognition using looping structures. The program below is very similar to what you might be asked to write as a program for the exam. As practice I am going to give you 45 minutes to write the completed program. About the same amount of time you will have to complete the program for Exam 1. Assignment: Write a complete program that prints the factorial of a value. Prompt the user to enter a positive int. You should validate this input, and continue to prompt the user for a positive integer (i.e. a value strictly greater than zero) until valid input is received. The validation should include checking for an integer and then if it is positive. Be sure that this program follows acceptable programming practices and the output is formatted as shown below. Note: The factorial of a positive number n is computed as: n! n(n-1)(n-2)(n-3)...(3)(2)(1) So, for example, 5! = 5*4*3*2*1 = 120 Sample Output: Enter a positive integer: -8 Error: Input must be positive Enter a positive integer: 4 The factorial of 4 is 4*3*2*1 which is 24. Ac Go 48