You are given two positive integers x and y.

In one operation, you can apply any of the following transformations to x:

1. Divide x by $11$ if x is divisible by $11$.

2. Divide x by $5$ if x is divisible by $5$.

3. Decrement x by $1$.

4. Increment x by $1$.

Return the minimum number of operations required to make x equal to y.

Constraints:

• $1 \leq$ x, y $\leq 10^4$

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.