Question: Consider the problem of making change for n cents using the fewest number of coins given any set of k different coin denominations. For example,

Consider the problem of making change for n cents using the fewest number of coins given any set of k different coin denominations. For example, coins in America are in denominations of 1, 5, 10, and 25 cents. However, this question does not have any specific denomination. It only assumes that each coins value is an integer and one of the coins is a penny.

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