Given an integer n, return the nth ugly number.

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

Note: 1 is considered an ugly number.

Constraints:

• $1 \leq$ n $\leq 1690$

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.