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Gemini Ultra answered this correctly for me: " It's impossible to say for sure if Jake will like salmon or cheese based on the information given."

While technically true, you could say that about all riddles. See GPT-4's explanation here, which intuits the rule and answers the riddle correctly. https://chat.openai.com/share/b1452950-b493-4e27-b097-e64f21...

~~Well, worth nothing that the original prompt you provided didn't include the suggested strategy~~

Edit: My bad didn't read the parent comment properly