Subtract or Divide

You are given a positive integer $N$. In one operation, you can do **either** of the following $2$ actions: - If $N > 2$, choose to change $N$ to $N - 2$. - If $N > 1$ and $N$ is even, choose to change $N$ to $\dfrac{N}{2}$ Find the number of different positive integers you can form if you are allowed to perform as many operations as you want, starting with $N$. Note that you are allowed to perf