Freedom

Eren, Mikasa, and Armin are playing a game with an array $A$ of length $N$ to get FREEDOM. Eren can select any indices $i$ and $j$ such that $1\le i\lt j\le N$. Let $a, b,$ and $c$ denote the points of Eren, Mikasa, and Armin respectively, where: - $a = A_i - A_j$ - $b = A_i + A_j$ - $c = A_i \times A_j$ Eren, Mikasa and Armin will get FREEDOM if the values of $a, b,$ and $c$ form an [arithme