Parking garages often offer different prices based on how long you are parked. There is an hourly rate of 55 dollars per hour; however, if you are parked for 55 or more hours there is a flat rate of 1212 dollars. If you are parked for 1010 or more hours, the cost is 1212 dollars plus an extra 33 per hour past 1010 hours up to 2424 hours. What is the piecewise function that represents the pricing of a parking garage?

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