Let S={1,2,3,4,5,6,7,8,9,10}. Define f: S → S as f(n)= {2 n, if n=1,2,3,4,5; 2 n-11, if n=6,7,8,9,10}. Let g: S → S be a function such that f ° g(n)=…

Let $\displaystyle S=\{1,2,3,4,5,6,7,8,9,10\}$. Define $\displaystyle f: S \rightarrow S$ 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 $\displaystyle g: S \rightarrow S$ be a function such that $\displaystyle f \circ g(n)=\left\{\begin{array}{ll}n+1 & , \text { if } n \text { is odd } \\ n-1 & , \text { if } n \text { is even }\end{array}\right.$, Then $\displaystyle g(10)(g(1)+g(2)+g(3)+g(4)+g(5))$ is equal to \_\_\_\_.