A new 19-line base configuration enables an infinite series of straight-line arrangements achieving the maximum number of bounded triangles for every n = 18·2^t + 1.
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LLM agents infer distribution-specific solver hints from samples and synthesize code that generalizes to faster solving of combinatorial optimization problems from the same distribution.
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The $18\cdot 2^t+1$ Triangle-Maximal Series of Straight Lines
A new 19-line base configuration enables an infinite series of straight-line arrangements achieving the maximum number of bounded triangles for every n = 18·2^t + 1.
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Distribution-Aware Algorithm Design with LLM Agents
LLM agents infer distribution-specific solver hints from samples and synthesize code that generalizes to faster solving of combinatorial optimization problems from the same distribution.