Given an integer n, construct and return an array of n distinct integers such that the sum of all elements is equal to $0$. If multiple valid arrays exist, you may return any one of them.

Constraints:

• $1 \leq$ n $\leq 10^3$

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.