Problem 1. A palindrome is a sequence of characters that reads the same backward as forward. For example, each of the following five-digit integers is a palindrome: 12321, 55555, 45554 and 11611. Write an application that reads in a five-digit integer and determines whether it is a palindrome. If the number is not five digits long, display an error message and allow the user to enter a new value.

Problem 2. Modify the program to determine whether a seven-digit number is a palindrome. Before modifying, rename the files to Palindrome2.java and Palindrome2Test.java as file names.