Problem: Implement (in C) the dynamic program algorithm for the coin-change algorithm, discussed in class. Assume...

Question:

Problem: Implement (in C) the dynamic program algorithm for the coin-change algorithm, discussed in class. Assume that the coins with which you make change are quarters, dimes, nickels and pennies. Thus you are going to set n = 4 in your program. The amount k for which you have to make change will be provided by the user and your program will return the minimum number of coins needed and also the break-up of the change in terms of the different denominations used. Thus if the input is 31, the output for the minimum number of coins needed would be 3 and the break-up 25 + 5 + 1. (10 points)

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