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FI-MO 2017 Problem 1

    By dividing the integer mm by the integer n,22n, 22 is the quotient and 55 the remainder. As the division of the remainder with nn continues, the new quotient is 0.40.4 and the new remainder is 0.20.2 . Find mm and nn .

    Dataset text AI-MO AoPS. Quoted with source.

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