Putnam asked "can a parabola of arc length 4 fit inside the unit circle?" Should be simple for a computer to just try every parabola but all the LLMs try to so

Putnam asked "can a parabola of arc length 4 fit inside the unit circle?" Should be simple for a computer to just try every parabola but all the LLMs try to solve it like a human would (and get it wrong)