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