Alternate Jumps

There are $N$ lily pads, arranged in a line. They are numbered $1$ to $N$ from left to right. A frog is initially standing on lily pad $N$. The frog loves to jump, so it will perform a sequence of $(N-1)$ jumps with alternating directions as follows: - First, jump to the lily pad $N-1$ positions to the left of its current position. - Next, jump to the lily pad $N-2$ positions to the right of its