Cunanan ended one of the biggest manhunts in recent history and set investigators on the task of trying to piece together his activities here in the days after the slaying of the fashion designer Gianni Versace, one of the five people he is accused of killing.

''I'm happy that this has been brought to closure without another victim.'' ''He was a desperate person with very little room to move about,'' the Miami Beach Police Chief, Richard Barreto, said at a news conference today. Cunanan telephoned an acquaintance frantically trying to get a fake passport so he could escape, Federal investigators said today. In the desperate days before he shot himself in the master bedroom of a luxury houseboat moored in a canal here, Andrew P.