Erica is an undergraduate student at USC, and she is preparing for a very important exam. There are n days left for her to review all the lectures. To make sure she can finish all the materials, in every two consecutive days she must go through at least k lectures. For example, if k = 5 and she learned 2 lectures yesterday, then she must learn at least 3 today. Also, Erica’s attention and stamina for each day is limited, so for i’th day if Erica learns more than ai lectures, she will be exhausted that day.
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