olymmath

IL-GILLIS 2019 Problem 6

    A set of integers is called legendary if you can reach any integer from it by using the following action multiple times:

    If the numbers x,yx,y are in the set, we may add the number xy−y2−y+xxy-y^2-y+x to the set.

    Prove that any legendary set contains at least 8 numbers.

    Dataset text AI-MO AoPS. Quoted with source.

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