Given an unlimited supply of coins of denominations x1; x2; : : : ; xn, we wish to make change for a value v using at most k coins; that is, we wish to find a set of k coins whose total value is v. This might not be possible: for instance, if the denominations are 5 and 10 and k = 6, then we can make change for 55 but not for 65. what is an efficient dynamic-programming algorithm for the following problem. Input: x1; : : : ; xn; k; v. Question: Is it possible to make change for v using at most k coins, of denominations x1; : : : ; xn? any help would be appriciated.
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