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Business, 27.02.2020 03:32 Horiizon93

Although the student designing the B$^6$ is sad that the greedy algorithm will not always work for dispensing change in this universe, you (an EECS 376 student) have learned that you can find the optimal number of coins for any set of coin denominations using dynamic programming. Write base case(s) and the recurrence relation for computing $\textsc{OPT-COIN-CHANGE}(C)$, where $C$ is the amount of change you want to make. You can only use 1$\cent$, $k\cent$ and 17$\cent$ coins ($k$ is the value you found in (b)). Briefly justify why this will be optimal regardless of denominations.

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