Design an efficient algorithm to figure out the locations

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Reference no: EM133370902

Question: You are driving from San Diego to San Francisco. You have a map of the route, which is marked with the locations of gas stations along the way. We can think of this route as a line. You that gas stations are located at distances a1, a2, . . . an from San Diego, and there are spaced close enough to ensure that you can complete the trip without running out of gas. You also know the distance d your car can go on a full tank of gas. You want to pick out gas stations to refuel so that you minimize the number of refueling stops while never running out of gas. Assume you start off with a full tank of gas. Design an efficient algorithm to figure out the locations where we should refuel. Prove your algorithm correct and analyze its running time.

Reference no: EM133370902

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