The minimum sampling frequency (in samples/sec) required to reconstruct the following signal x (t) = 5 ^{$\left( \dfrac{sin2\pi 1000 t}{\pi t} \right) ^ 3 $} + 7^{$\left( \dfrac{sin2\pi 1000 t}{\pi t} \right) ^ 2 $} from its samples without distortion would be

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