Suppose you are going on a road trip with friends. unfortunately, your headlights are broken, so you can only drive in the daytime. therefore, on any given day you can drive no more than d miles. you have a map with n different hotels and the distances from your start point to each hotel x1< x2< < xn. your final destination is the last hotel. describe an efficient greedy algorithm that determines which hotels you should stay in if you want to minimize the number of days it takes you to get to your destination. what is the running time of your algorithm?