Ugly Number II

An ugly number is a positive integer whose prime factors are limited to 2, 3, and 5.

Given an integer n, return the n^th ugly number.

Input Format

First Parameter - An integer n

Output Format

Return an integer

Example 1

Input: n = 10
Output: 12
Explanation: [1, 2, 3, 4, 5, 6, 8, 9, 10, 12] is the sequence of the first 10 ugly numbers.

Example 2

Input: n = 1
Output: 1
Explanation: 1 has no prime factors, therefore all of its prime factors are limited to 2, 3, and 5.

Constraints

• 1 <= n <= 1690
• Expected Time Complexity - O(n)
• Expected Space Complexity - O(n)