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One of the greatest romantic comedies of all time, this movie sparked the Doris Day/Rock Hudson/Tony Randall trio that would be followed by two other hit comedies.
Doris Day plays a single working woman named Jan Morrow who lives in a nice apartment in Manhattan. Her only problem is that she shares a partyline with a playboy-slash-songwriter Brad Allen, played by Rock Hudson. She often picks up her phone to make a call and hears Allen crooning the same love song to a different woman. "You are my inspiration...(fill in the name of any woman)."
Incensed after many attempts to notify him of his rudeness, Day goes to the phone company to ask for her own number. It is explained to her that if this was an emergency, she'd jump to the top of the list. Perhaps if she were to get pregnant she would get her own line sooner. Day replies that she is not married, so of course she can't just go and get pregnant! (I heart 1959!)
Day goes back to deal with Hudson herself, making an agreement that they each use a half hour of phone time. Hudson breaks the rule almost immediately, not caring if he offends the "frigid" other half of the partyline.