If $f^{\prime}(x)=-f(x)$ and $g(x)=f^{\prime}(x)$ and $F(x)=\left(f\left(\frac{x}{2}\right)\right)^2+\left(g\left(\frac{x}{2}\right)\right)^2$ and given that $F(5)=5$, then $F(10)$ is equal to
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