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RU-SPB 2019 Problem 107

  • Grade 10

In a square 102019×102019,10403810^{2019} \times 10^{2019}, 10^{4038} points are marked. Prove that there is such a rectangle with sides parallel to the sides of a square whose area differs from the number of points located in it by at least 66 .

Dataset text AI-MO AoPS. Quoted with source.

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