Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $f(x)=\left( 2\left( 1-\frac{x^{25}}{2} \right) \left( 2+x^{25} \right) \right)^{\frac{1}{50}}$. If the function $g(x)=f(f(f(x)))+f(f(x))$, then the greatest integer less than or equal to $g(1)$ is ______.
