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

Source code:

import random
if input == "": # initialize variables for the first round
	rockCount = paperCount = scissorsCount = 0
        loses=0
elif input == "R":
	rockCount += 1
        loses+=1
elif input == "P":
	paperCount += 1
        loses+=1
elif input == "S":
	scissorsCount += 1
        loses+=1
if rockCount > paperCount and rockCount > scissorsCount:
	output = random.choice(["P","P","R","S"]) # paper beats rock
elif paperCount > scissorsCount:
	output = random.choice(["P","S","R","S"]) # scissors beats paper
else:
	output = random.choice(["P","R","R","S"]) # rock beats scissors

if loses>=501:
        n=random.choice(["R","P","S"])
        if n=="R":
                output="P"
        elif n=="P":
                output="S"
        else:
                output="R"