LeetCode Daily: Ugly Number II Solution in Java | August 18, 2024
🔍 LeetCode Problem of the Day: Ugly Number II
Today, we're solving the "Ugly Number II" problem in Java as part of the LeetCode daily challenge series. This problem involves finding the nth "ugly number," which is a number whose only prime factors are 2, 3, or 5.
👉 Problem Link: https://leetcode.com/problems/ugly-nu...
👉 Solution: Pinned on the comments
🌟 Problem Description:
In this challenge, the task is to compute the nth ugly number using a combination of priority queues and dynamic programming techniques. Ugly numbers are those that can only be factored by the primes 2, 3, and 5.
🔑 Code Explanation:
Priority Queue & HashSet: We use a priority queue (min-heap) to store the next possible ugly numbers and a HashSet to avoid duplicates.
Initialization: Start with 1 as the first ugly number and insert it into both the priority queue and HashSet.
Generating Ugly Numbers: We repeatedly poll the smallest ugly number from the priority queue and generate new ugly numbers by multiplying it by 2, 3, and 5.
Avoid Duplicates: The HashSet ensures that only unique ugly numbers are added to the priority queue.
Final Result: After processing n ugly numbers, the nth ugly number is returned.
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