A master student has 7 days remaining before final examinations begin in his four courses, and he wants to allocate this study time as effectively as possible. He needs at least 1 day on each course, and he likes to concentrate on just one course each day, so he wants to allocate 1, 2, 3, or 4 days to each course. He decides to use dynamic programming to make these allocations to maximize the total grade points to be obtained from the four courses. He estimates that the alternative allocations for each course would yield the number of grade points shown in the following below table:

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