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DE-BUNDESWETTBEWERB 2023 Problem 2

    Determine all triples (x,y,z)(x, y, z) of integers that satisfy the equation x2+y2+z2−xy−yz−zx=3x^2+ y^2+ z^2 - xy - yz - zx = 3

    Dataset text AI-MO AoPS. Quoted with source.

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