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IT-CESENATICO 2022 Problem 1

    Determinare per quali interi positivi nn esiste un intero positivo AA tale che

    • AA è multiplo di 2022,
    • l'espressione decimale di AA contiene solo cifre 0 e 7,
    • l'espressione decimale di AA contiene esattamente nn volte la cifra 7.

    Official text Italian Mathematical Olympiad 2022 official paper, page 1. Quoted with source.

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