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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} for \: all\: n\: \in \: N. \right.$ Find whether the function f is bijective.

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