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RU-SPB 2021 Problem 91

  • Grade 9

There are 20212021 points on a circle. Kostya marks a point, then marks the adjacent point to the right, then he marks the point two to its right, then three to the next point's right, and so on. Which move will be the first time a point is marked twice?

K. Kokhas

Dataset text AI-MO AoPS. Quoted with source.

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