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Suppose I assign each of n students an index corresponding to their birth date, with O being the index of Jan. 1st and 364 being

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Suppose I assign each of n students an index corresponding to their birth date, with O being the index of Jan. 1st and 364 being the index of Dec. 31st. I then give them a number of homework problems equal to their index. The total number of homework problems I give is l_

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