"Act 1 of Hamlet begins with guards at the castle of Elsinore seeing the ghost of the late King Hamlet. They tell Horatio, a friend of Hamlet, and the Horatio tells Hamlet that his fathers spirit has been seen walking around the castle. Later, Claudius, the new King of Denmark and Hamlets uncle, gives a speech to the court asking them to stop mourning the loss of the previous king. Meanwhile, Hamlet is struggling with his grief and faces the dilemma of avenging his fathers murder. Later, several players arrive at the castle, and using a play, Hamlet attempts to confirm his suspicions about his uncle. Finally, Hamlet decides to feign madness and begins his plan to prove his uncles guilt."
Summarize the events in Act 1 of Hamlet.?