A happy number is defined by the following process. Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers, while those that do not end in 1 are unhappy numbers (or sad numbers). Given a number print whether it is happy or unhappy.
Sample Inputs 7 4 13 Sample Outputs Happy Unhappy Happy
Note: Your program should not take more than 10 secs for any number below 1,000,000,000.