Recover The Array

Let us define a special array as an array of **distinct natural** numbers such that the sum of any three elements is **not** divisible by $5$. Formally, let $A$ be an array of size $N$. Then, $A$ is a special array if the following conditions hold: 1) $A_i \in \mathbb{N} \;\;\;\; \forall \: 1 \leq i \leq N$; 2) $ A_i \neq A_j \;\;\; \forall \; 1 \leq i \neq j \leq N$; 3) $(A_i + A_j + A_k)$ $\%$