An ugly number is defined as a positive integer that is divisible by a, b, or c.

Given four integers n, a, b, and c, return the $n^{th}$ ugly number.

Constraints:

• $1 \leq n, a, b, c \leq 10^9$

• $1 \leq a \times b \times c \leq 10^{18}$

• The result is guaranteed to be in the range $[1, 2 \times 10^9]$.

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.