For an irrational $\xi$ and given bound $x$, find integer $a, b \ge 0$ maximizing $y = a + b\xi$ subject to $y \le x$.
$\xi$ is a square root of an integer, but I guess it doesn't matter. It's actually an ILP, but I can't see how to use this fact.
2026-03-25 19:00:46.1774465246
Linear diophantine inequality maximum
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