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Use rpsrunner.py to play unranked matches on your computer.

Source code:

if input == "": # initialize variables for the first round
	rockCount = paperCount = scissorsCount = 0
elif input == "R":
	rockCount += 1
elif input == "P":
	paperCount += 1
elif input == "S":
	scissorsCount += 1
if rockCount > paperCount and rockCount > scissorsCount:
	output = "P" # paper beats rock
elif paperCount < scissorsCount:
	output = "S" # scissors beats paper
else:
	output = "R" # rock beats scissors