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Let $$f(x) = 2^x - x^2$$, $$x \in R$$. If $$m$$ and $$n$$ are respectively the number of points at which the curves $$y = f(x)$$ and $$y = f'(x)$$ intersects the $$x$$-axis, then the value of $$m + n$$ is _______
Correct Answer: 5
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