You are going on a long trip. You start on the road at mile post0. Along the way there are n hotels, at mile posts a1 < a2 <… < an, where each ai is measured from the starting point. Theonly places you are allowed to stop are at these hotels, but youcan choose which of the hotels you stop at. You must stop at thefinal hotel (at distance an), which is your destination. You’dideally like to travel 200 miles a day, but this may not bepossible (depending on the spacing of the hotels). If you travel xmiles during a
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