"Assume the earth was just an ocean and you could travel by boat to any location. Your goal is to always stay in the sunlight, perpetually. Find the best strategy to keep your max speed as low as possible"
o3 pro gets it right though..
>So the “best possible” plan is: sit still all summer near a pole, slow-roll around the pole through equinox, then sprint westward across the low latitudes toward the other pole — with a peak westward speed up to ~1670 km/h.
Is this to your liking?
when models try to be smart/creative they attempt to switch poles like that. in my example it even says that the max speed will be only a few km/h (since their strategy is to chill at the poles and then sail from north to south pole very slowly)
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GPT-5 pro does get it right though! it even says this:
"Do not try to swap hemispheres to ride both polar summers. You’d have to cross the equator while staying in daylight, which momentarily forces a westward component near the equatorial rotation speed (~1668 km/h)—a much higher peak speed than the 663 km/h plan."