CMO 2017 Problem 1

Let $a, b$, and $c$ be non-negative real numbers, no two of which are equal. Prove that

$$\frac{a^{2}}{(b-c)^{2}}+\frac{b^{2}}{(c-a)^{2}}+\frac{c^{2}}{(a-b)^{2}}>2$$