# Algebraic Illusion

Algebra Level 5

Let $$f$$ be an injective function such that $f(n)=2f(m)$ for every pair of real numbers $$(m, n)$$ satisfying the equation $m^2+\frac{2m}{n}-1=0$ Also, $f(0.06258)=\frac{1}{16}$ What is the value of $$\lfloor 100f^{-1}(1) \rfloor$$?

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