Question 35
There are $3000$ points marked on a circle, and there is a grasshopper standing on one of these points. With every jump, the grasshopper jumps over one or two marked points (in the clockwise direction) and lands on the next marked point. Determine the smallest possible number of jumps made by the grasshopper if it landed on every marked point at least once and then returned to the starting point. (Austria 2016)