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Solution: Powerful Integers

Explore how to generate all powerful integers less than a given bound by using nested loops through powers of x and y, combined with a hash set to manage duplicates efficiently. Understand the algorithm's time and space complexity and special cases when x or y equals one.

Statement

Given three integers x, y, and bound, return a list of all powerful integers whose value is less than or equal to bound.

An integer is considered powerful if it can be expressed as xi^i + yj^j for some non negative integers ii and jj (i.e., i0i \geq 0 and j0j ...