Hi, I collected the solutions for the problems of April Fools Day Contest 2023. Before the official editorial being posted, we can discuss about the problems here.

P/s: The editorial was published.

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1812E - Not a Geometry Problem

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Where did you get those numbers from? the conjecture asks whether every positive integer will eventually get to 1 by applying the operation however many times you'd like.

The biggest answer allowed (10

^{3}digits) will take more than 3,000 operations to reach 1, but it might take millions, or never reach 1 (proving the conjecture false), which means that the [REDACTED] part must be pretty small, or the grader wouldn't be able to evaluate a very large submission definitively.Here. Or I could remember the wrong number, I watched it a long time ago.

I think it is around $$$350$$$:

That's for numbers up to 1e5, we're talking about numbers up to 1e1000

I believe the grader can just simulate $$$10^5$$$ ish steps to check if an answer is valid or not. In testing, the best number I could find was around $$$2.5 \cdot 10^4$$$ steps by just randomly generating $$$1000$$$ digit numbers and running them. In any event, it is probably impossible to find a positive integer that could work on the given constraints, and if you could, you could probably write a paper on it!