Use C# to

Problem 1 (50 points): Ask the user to enter a string (e.g. Welcome to Saint Martins U!). Your program should count and display the total number of vowels (A, E, I, O, U) count both uppercase and lowercase vowels in that given input. In the example above, the output should 9. [Hint: Convert the string to all upper (or all lower) case to safe having to check A or a for each vowel respectively.]

Problem 2 (50 points): Ask the user to enter a positive integer b. Validate the input (to make sure it is positive). Then output whether or not the number b is divisible by 3.