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I wonder whether you can improve on this, because people that play regularly can eliminate words that were a solution on a previous day. That's assuming solutions don't repeat of course.

Could eliminating previous solutions help reduce the search space meaningfully?

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Yes, of course it can. And this doesn't seem like cheating. I would be interesting in knowing how the difficulty (worst and average case) for the different models changes over time.

Of course, on the last day (in 2027?), there will only be one word left, so the game can be solved with one query.

That's not interesting, but for how long will the game stay interesting? How hard will it still be in 2023, 2024, etc.?

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