Question: Topic: Coin Changing / Dynamic Programming. 1. Define a recurrence relation. 2. Implement the recurrence relation: Create a program in C++ that outputs the minimum

Topic: Coin Changing / Dynamic Programming.

1. Define a recurrence relation.

2. Implement the recurrence relation: Create a program in C++ that outputs the minimum number of coins required to make a change using pennies, nickels, dimes, and quarters.

Please write the program as simple as possible using dynamic programming (run time must not be exponential).

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