Sum to 0

You are given an integer $N$. Construct an array $A$ of size $N$, with all non-zero elements, such that the sum of elements is $0$ and that the absolute values of all elements do not exceed $3$. Formally, find an array $A$ of $N$ elements such that: - $A_1 + A_2 + \ldots + A_N = 0$ - $|A_i|$ is either $1$, $2$ or $3$. If multiple answers exist, all will be accepted. If no answer exists, print