Given a positive integer num, return the smallest positive integer whose individual digits multiply to num. If no such integer can be formed, or if the resulting integer does not fit within a $32$ bit signed integer range, return $0$.

Constraints:

• $1 \leq$ num $\leq 2^{31} - 1$

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.