Question: A certain town has exactly n married heterosexual couples. Every wife knows whether every other wifes husband is cheating on his wife or not, but

A certain town has exactly n married heterosexual couples. Every wife knows whether every other wife’s husband is cheating on his wife or not, but no wife knows if her own husband is cheating or not. In fact, if a wife ever learns that her husband is cheating on her, then she will poison him that very night. So no husband will ever confess that he is cheating. One day, the mayor (who is not married) announces that there is at least one cheating husband in the town. What happens next?

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