Let f : N $\rightarrow$ N be defined by : $f(n) = \left\{ \begin{array}{l l} \large \frac{n+1}{2} & \quad \text{if $n$ is odd}\\ \large \frac{n}{2} & \quad \text{ if $n$ is even} \end{array} \forall \: n \: \in\: N. \right.$ Find whether the function f is bijective.

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