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Consider the problem of making change for n cents by using the fewest possible integer number of coins consisting of quarters, dimes, nickels and pennies.
Consider the problem of making change for n cents by using the fewest possible integer number of coins consisting of quarters, dimes, nickels and pennies. Describe a greedy algorithm for this problem. Prove that your algorithm yields an optimal solution, i.e. uses fewest number of coins.
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