Let N be the set of natural numbers and two functions f and g be defined as $\mathrm{f}, \mathrm{g}: \mathrm{N} \rightarrow \mathrm{N}$ such that
$$
f(n)=\left\{\begin{array}{l}
\frac{n+1}{2} \text { if } n \text { is odd } \\
\frac{n}{2} \text { if } n \text { is even }
\end{array}\right.
$$
and $g(n)=n-(-1)^n$ Then fog is:
