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$\mathscr{E} = \dfrac{x^2}{(x-y)(x-z)} + \dfrac{y^2}{(y-x)(y-z)} + \dfrac{z^2}{(z-x)(z-y)}$

Let $x = 1008, y=2016, z = 4032$. Find the exact value of $\mathscr{E}$.

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