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DE-MO 1965 Problem 5

    Determine all triples of nonzero decimal digits (x,y,z)(x,y,z) for which the equality xxx...x⏟2n−yy...y⏟n=zzz...z⏟n\sqrt{ \underbrace{xxx...x}_{2n}- \underbrace{yy...y}_{n}}= \underbrace{zzz...z}_{n} holds for at least two different natural numbers nn .

    Dataset text AI-MO AoPS. Quoted with source.

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