Make My Array Equal

You are given an array $A$ of length $N$. Determine if it is possible to make all the elements of $A$ equal by performing the following operation any number of times (possibly, zero): - Choose two **distinct** indices $i$ and $j$ ($1 \leq i, j \leq N$, $i \neq j$); and - Update the value at index $i$ by setting $A_i$ to $A_i + A_j$. For example, if $A = [1, 5, 3, 5, 6]$, - Choosing $i = 5$ and