Leetcode Problem 970. Powerful Integers

Algorithm

1. Calculate the upper bounds for the powers of x and y using the logarithm: a = floor(log(bound) / log(x)) and b = floor(log(bound) / log(y)).
2. Initialize an empty set powerfulIntegers to store the unique powerful integers.
3. Use a nested loop where the outer loop runs from 0 to a and the inner loop runs from 0 to b.
4. In each iteration, calculate x^i + y^j and check if it is less than or equal to bound.
5. If it is, add the sum to the set powerfulIntegers.
6. Handle the special case when x or y is 1 by breaking out of the loop early since further iterations will not change the result.
7. Convert the set to a list and return the list of powerful integers.