Homework 3 - switch Statements and Nested Loops

The purpose of this assignment is to use the switch statement and nested loops.

Name your files hw3_<problem>.cpp, such as hw3_1.cpp. Email all the cpp files to my Sleipnir account.

1. (10 points) Update your menu program from Homework 2 Problem 2 to use the switch statement instead of the if-else if-else statement. Make sure your switch statement contains a default statement to cover the case when the user selects an unsupported menu option. You may alter the solution to Homework 2 Problem 2 instead of your code for that assignment if you wish.
2. (10 points) Use nested for loops to find all prime numbers between 3 and 200. Recall from math that a number is prime if it is NOT evenly divisible (remainder of division is 0) by any number other than itself and 1. The outer loop will count from 3 to 200, keeping track of the number that you are currently testing for "prime-ness". The inner loop will actually test if a number is evenly divisible by numbers smaller than it (e.g. 2 to number-1 where number is the number you are testing for "prime-ness"). The modulo operation (num1 % num2) will be useful here since it returns the remainder. If the remainder is ever 0, the number is not a prime so you can skip it and continue on to testing the next number. Output the number when it is a prime (e.g. the inner loop tested all possible factors and the remainder was never 0). You may find Boolean flags useful for tracking "prime-ness" in the inner loop.