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Problem 3 -- Hop to It

Source: 47th Austrian Mathematical Olympiad National Competition Part 1 Problem 3

July 28, 2018
Austrianumber theory

Problem Statement

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?
(Gerd Baron)
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