Question: Problem 1 [50 pints] Design a dynamic programming algorithm for the change-making problem nations di, d2 .d given an amount n and unlimited quantities of

Problem 1 [50 pints] Design a dynamic programming algorithm for the

Problem 1 [50 pints] Design a dynamic programming algorithm for the change-making problem nations di, d2 .d given an amount n and unlimited quantities of each of the denominations d, d2,...,dm find the smallest number of coins that add up to n or indicate that the problem does not have a solution. Analyze the running time of your algorithm. Try to make the running time of your algorithm as best as possible

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