The Happy Number problem asks us to determine if a given positive integer n is a happy number, defined by repeatedly replacing the number with the sum of the squares of its digits until it reaches 1 or enters a cycle.
Implemented getNext transformation calculates the sum of squares of a number's digits efficiently.
Cycle detection involves using a HashSet to store generated numbers, checking for repeats before calculating the next number to identify cycles.
Utilizing Floyd’s Cycle-Finding Algorithm provides an optimized O(log N) time complexity and O(1) space complexity solution for the Happy Number problem.