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KöMaL 2025 B5454

    Positive integers a1a_1, a2a_2, a3a_3, …\ldots, a2024a_{2024}, a2025a_{2025} are chosen such that fractions a1a2\frac{a_1}{a_2}, a2a3\frac{a_2}{a_3}, a3a4\frac{a_3}{a_4}, …\ldots, a2024a2025\frac{a_{2024}}{a_{2025}} have pairwise different values. At least how many of the numbers must be different?

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