Given an integer n, consider a list of positive integers starting from $1$ where all integers containing the digit $9$ are removed.

Return the n-th integer in this list.

Constraints:

• $1 \leq$ n $\leq 8 imes 10^8$

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.