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

Let $S=\left\{1,2,3,4,5,6,7,8,9,10\right\}$. Define $f:S\to S$ as $f\left(n\right)=\left\{\begin{array}{cl}2n,& \mathrm{if} n=1,2,3,4,5\\ 2n-11& \mathrm{if} n=6,7,8,9,10\end{array}\right.$
Let $g:S\ge S$ be a function such that $fog\left(n\right)=\left\{\begin{array}{ll}n+1& , \mathrm{if} n \mathrm{is} \mathrm{odd} \\ n-1& , \mathrm{if} n \text{is }\mathrm{even} \end{array}\right.$,

then $g\left(10\right)\left[g\left(1\right)+g\left(2\right)+g\left(3\right)+g\left(4\right)+g\left(5\right)\right]$ is equal to