Interestingly, o3-mini-high was correct when first thinking about it:
> Okay, we're asked how to get exactly 6 liters of water using an 12-liter and a 6-liter jug. The immediate thought is to just fill the 6-liter jug, but that seems too simple, doesn’t it? So maybe there’s a trick here. Perhaps this is a puzzle where the challenge is to measure 6 liters with some pouring involved. I’ll stick with the simple solution for now—fill the 6-liter jug and stop there.
I have to take all these comparisons with a heap of salt because no one bothers to run the test 20 times on each model to smooth out the probabalistic nature of the LLM landing on the right answer. There must be some fallacy for this, that you would sample once from each and declare a definitive winner, I see it all the time.
> Okay, we're asked how to get exactly 6 liters of water using an 12-liter and a 6-liter jug. The immediate thought is to just fill the 6-liter jug, but that seems too simple, doesn’t it? So maybe there’s a trick here. Perhaps this is a puzzle where the challenge is to measure 6 liters with some pouring involved. I’ll stick with the simple solution for now—fill the 6-liter jug and stop there.