A 30B model trained via reverse-perplexity SFT, two-stage RL, and test-time scaling achieves gold-medal-level results on IMO 2025 and IPhO 2024/2025.
In our rotated frame, this gives a=e i3α, which forces AB=BC (since then |a−b|=|e i3α −e iα|= 2 sinα and |b−c|=|e iα −e −iα|= 2 sinα ), contradicting the scalene hypothesis
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Achieving Gold-Medal-Level Olympiad Reasoning via Simple and Unified Scaling
A 30B model trained via reverse-perplexity SFT, two-stage RL, and test-time scaling achieves gold-medal-level results on IMO 2025 and IPhO 2024/2025.