An integer is considered numerically balanced if, for every digit $d$ present in the integer, the frequency of $d$ in the integer is exactly equal to $d$.

Given an integer n, return the smallest numerically balanced integer strictly greater than n.

Constraints:

• $0 \leq$ n $\leq 10^6$

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.