Let $\mathbb{N}$ be the set of natural numbers and two functions $f$ and $g$ be defined as $f,g:\mathbb{N}\to\mathbb{N}$ such that $$ f(n)= \begin{cases} \dfrac{n+1}{2}, & \text{if $n$ is odd},\\[4pt] \dfrac{n}{2}, & \text{if $n$ is even}, \end{cases} \qquad g(n)=n-(-1)^n. $$ Then $f\circ g$ is –