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Extremal combinatorics

Check the benchmark version, sampling budget, data contamination controls, human interventions and proof-review method. A final answer or benchmark score is not evidence that every reasoning step is valid.

Explained dossiers

01OpenAI
Extremal combinatorics

How long can colors hide a monochromatic triangle?

Connect every pair of people and give each connection a color. How large can the group become before some three people have all three connections in the same color?

Formal proof reported↗

Research notes