Dgak
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Okay, regarding the formulas. Yes, they are exchanged, and specialists, upon finding scholars, receive the formula. Scholars, if they don't find each other, continue searching, and their maximum chance of finding the formula is 50%. Is this the only question?
Added 10 minutes later
Oh yes. Regarding the critical situation. Example: To win, 8 votes are needed. Vasya gets 8 votes or more, and at the end of the day, when closing the day, I write the exact number of votes for Vasya, subtracting the infected, if the votes are against the zombies. If Vasya gets 7 votes or less by the end of the day, I do nothing and close the day without a win.
Added 10 minutes later
Oh yes. Regarding the critical situation. Example: To win, 8 votes are needed. Vasya gets 8 votes or more, and at the end of the day, when closing the day, I write the exact number of votes for Vasya, subtracting the infected, if the votes are against the zombies. If Vasya gets 7 votes or less by the end of the day, I do nothing and close the day without a win.