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A certain town consists of married couples. Some husbands secretly cheat on their wives. Every wife knows whether each of the other husbands is cheating, but not whether her own husband is. Nobody ever tells a wife about her own husband, and the wives do not discuss it with each other. All wives are perfect logicians, and this is common knowledge. A wife who concludes that her husband is cheating kicks him into the street at midnight that same night.
One day, the mayor announces to the whole town that there is at least cheating husband in the town. For the first nights after the announcement no husband is kicked out, but on the night some husbands are kicked out simultaneously. How many husbands are kicked out?