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RU-ALLRUSSIAN 2022 Problem 93

    200200 natural numbers are written in a row. For any two adjacent numbers of the row, the right one is either 99 times greater than the left one, 22 times smaller than the left one. Can the sum of all these 200 numbers be equal to 24202224^{2022} ?

    Dataset text AI-MO AoPS. Quoted with source.

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