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MathNet 2016-part-01 — 184 problems (EN–VI) Question 30

Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)

Question 30

Consider $2016$ points arranged on a circle. We are allowed to jump ahead by $2$ or $3$ points in clockwise direction.
What is the minimum number of jumps required to visit all points and return to the starting point?