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PE-MO 2021 Problem 1

    a) Determine if it's possible write 66 positive rational numbers, pairwise distinct, in a circle such that each one is equal to the product of your neighbor numbers.b) Determine if it's possible write 88 positive rational numbers, pairwise distinct, in a circle such that each one is equal to the product of your neighbor numbers.

    Dataset text AI-MO AoPS. Quoted with source.

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