It’s interesting to see that Gemini sticked to their guns even after being shown the human solution, I would have expected to apologize and agree with the human solution.
Gemini’s rebuttal goes wrong when it makes the assertion “For the set of visited positions to eventually be the set of \textit{all} positive integers, it is a necessary condition that this density must approach 1” without justification. This assertion is unfortunately not true.
It’s interesting to see that Gemini sticked to their guns even after being shown the human solution, I would have expected to apologize and agree with the human solution.
Gemini’s rebuttal goes wrong when it makes the assertion “For the set of visited positions to eventually be the set of \textit{all} positive integers, it is a necessary condition that this density must approach 1” without justification. This assertion is unfortunately not true.