Let $f(x)=2^x-x^2, x \in \mathbb{R}$. If $m$ and $n$ are respectively the number of points at which the curves $y=f(x)$ and $y=f^{\prime}(x)$ intersect the $x$-axis, then the value of $\mathrm{m}+\mathrm{n}$ is ___________.