LeetCode 970: Powerful Integers Solution

Master LeetCode problem 970 (Powerful Integers), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

970. Powerful Integers

Problem Explanation

Explanation

To solve this problem, we can iterate over all possible combinations of powers of x and y up to a certain limit defined by "bound". We can use two nested loops to generate all possible power sums and store them in a set to avoid duplicates. Finally, we can convert the set to a list and return it as the result.

Algorithm:

  1. Initialize an empty set to store unique powerful integers.
  2. Iterate over powers of x and y up to the bound limit.
  3. For each pair of powers i and j, calculate xi + yj and add it to the set.
  4. Convert the set to a list and return the result.

Time Complexity: O(log bound * log bound) as we are iterating over powers of x and y up to the bound limit.

Space Complexity: O(log bound * log bound) for storing unique powerful integers.

Solution Code

import java.util.*;

class Solution {
    public List<Integer> powerfulIntegers(int x, int y, int bound) {
        Set<Integer> powerfulSet = new HashSet<>();
        
        for (int i = 1; i < bound; i *= x) {
            for (int j = 1; i + j <= bound; j *= y) {
                powerfulSet.add(i + j);
                if (y == 1) break; // optimization for y == 1
            }
            if (x == 1) break; // optimization for x == 1
        }
        
        return new ArrayList<>(powerfulSet);
    }
}

Try It Yourself

Loading code editor...

Related LeetCode Problems

Frequently Asked Questions

How to solve LeetCode 970 (Powerful Integers)?

This page provides optimized solutions for LeetCode problem 970 (Powerful Integers) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 970 (Powerful Integers)?

The time complexity for LeetCode 970 (Powerful Integers) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 970 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 970 in Java, C++, or Python.

Back to LeetCode Solutions