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AZ-MO 2020 Problem 1

    1313 fractions are corrected by using each of the numbers 1,2,...,261,2,...,26 once.Example: 125,1826....\frac{12}{5},\frac{18}{26}.... What is the maximum number of fractions which are integers?

    Dataset text AI-MO AoPS. Quoted with source.

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