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Thank you for your feedback. Can you tell me exactly what you mean by the sentence below? Thanks in advance.

 Preferences add a layer of strategy to this game, as halving, mathematically,  would be the most efficient way to go.

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EDIT: My last explanation was likely to technical. Here's what I meant

Sure! I just meant that, mathematically, halving the range of possible numbers each time is the most efficient way to narrow down the target. For example, if you're guessing a number between 1 and 100, you'd start at 50, then depending on whether you're too high or low, guess 25 or 75 next, and so on. This strategy works because it minimizes the number of guesses needed on average.

Preferences, though, add an interesting twist! If the opponent has a known tendency (e.g., they prefer smaller numbers), you might adjust your guesses to focus on those areas first. This makes the game more dynamic and strategic!