Given an array points representing coordinates on a two dimensional plane, determine if there exists a line parallel to the $y$ axis such that every point reflects across the line to another point in the original set.

Constraints:

• n == points.length

• $1 \leq$ n $\leq 10^4$

• $-10^8 \leq$ points[i][j] $\leq 10^8$

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.