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Let \(f : \mathbb Q \to (0, \inf)\) be a function such that \(f(0) = 1\) and \(f(5) = 6\) and
$$\forall x, y \in \mathbb Q, \quad f(x) = \sqrt{f(x+y)f(x-y)}$$
Find \(\lfloor f(100)\rfloor\)
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