Not true. After 99 days, every woman kills her husband. Consider the case with two couples, (1) and (2). (1) knows that (2) cheats, so when the queen says th

Not true. After 99 days, every woman kills her husband. Consider the case with two couples, (1) and (2). (1) knows that (2) cheats, so when the queen says that at least one man has cheated, (1) knows of two possibilities: either [a] only (2) has cheated or [b] both (1) and (2) have cheated. If [a] is true, then (2) will immediately know (2) cheated, since she knows that (1) has not cheated. Thus, if by the end of the first day, (2) has not killed her husband, (1) knows that [b] must be true. The numbering is arbitrary, so every woman kills her husband after one day. Now consider the case of 3 couples (1), (2), and (3). From the point of view of (1), (2) and (3) have cheated. (1) also knows that (2) knows whether (1) has cheated or not, so (1) considers what (2) is thinking: "(2) either sees that [a] (1) and (3) have cheated or [b] that only (3) has cheated. If [b] is true, then (2) will be able to figure out whether (2) has cheated like this: since [b] is true, (3) will kill her husband on day 1 if (2) has not cheated. If she has not, then (2) must have cheated. If however, [a] is true, no one will have killed their husband after 2 days" Therefore (1) waits 2 days and kills her husband.