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Rock, Paper, Scissors

Write a program that pits the human user against the computer in a game of "Rock, Paper, Scissors" as in the output below.
Computer and user each choose one: R for Rock, P for Paper, S for Scissor.
Each round, your program declares one the winner (ask user to enter his/her name; give the computer a name)
At end of game, winner is the one with the most wins. 
Decisions to make: 
How do you know when the game ends?
How to randomize computer's choice - R, P, S?