AlphaEvolve problems·alphaevolve:55
Erdős squares in a square problem
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For any natural $n$, let $C(n)$ denote the maximum possible sum of side lengths of $n$ squares with disjoint interiors contained inside a unit square. Obtain upper and lower bounds for $C(n)$ that are as strong as possible.
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qed.bot, “Erdős squares in a square problem”, https://qed.bot/t/alphaevolve-55, as of 30 Sep 2026.