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. Repeat the process until the number either equals 1 (which means the number is happy) or it loops endlessly in a cycle that does not include 1 (which means the number is not happy).

Write a method isHappyNumber that takes an Integer parameter and returns true if the number is happy, false otherwise. Return false for null, zero, or negative numbers.

Examples:

Input: num = 19 Output: true Explanation: 1^2 + 9^2 = 82, 8^2 + 2^2 = 68, 6^2 + 8^2 = 100, 1^2 + 0^2 + 0^2 = 1 Input: num = 7 Output: true Explanation: 7^2 = 49, 4^2 + 9^2 = 97, continues until reaching 1 Input: num = 2 Output: false Explanation: Number enters a cycle that does not include 1 Input: num = null Output: false Explanation: Null input returns false Input: num = -5 Output: false Explanation: Negative numbers return false
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