Question 2 You are doing the Tour de France and you are given a map with all the n places where you can refill your water bottles. Your bottles fit 2 liters of water with which are enough for m kilometres. Your goal is to stop as few times as possible to refill your bottles, since you care about a good time for the Tour de France. Design an efficient algorithm using dynamic programming, prove its correctness and analysis its run time. Give the one-dimensional array A. And the time complexity of filling your array

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