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Professor Y has to commute from her university to her home. Her car has a maximum fuel capacity of C , it consumes fuel at

Professor Y has to commute from her university to her home. Her car has a maximum fuel capacity of C, it consumes fuel at the rate of r gallons per minute, and the tank is filled at a rate of f gallons per minute. She has to stop at several fuel stations to be able to make the trip as C is small, but luckily big enough to sustain a trip from one fuel station to the next along the way. Assume that she starts with an empty tank at a gas station right by the university. Describe a greedy strategy by which Professor Y will reach her home while minimizing the amount of time she has to stop for fuel.

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