Consider the problem of providing change for an amount of n-bahts while using the smallest possible quantity of coins. You may assume that each coin’s value is integer.  Assume that the coins available for use have values that can be expressed as powers of c. To clarify, the denominations of the coins can be written as c0,c1,..., ck , where c is an integer greater than 1, and k is a positive integer. Prove that the greedy algorithm always yields an optimal solution

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