Given any set of currency denominations C = {C₁,C₂,C}. The goal is to devise a methodto pay a given amount, say x, to the customer using the fewest coins. Here is an algorithmas follows:ALGORITHM (X,C)SORT the n coin denominations in C so that 0 < ₁ 0)k = largest coin denomination ck such that C₂ ≤X.IF (no such k)ELSERETURN "no solution."X = X-CkS-SU{k}.RETURN S.(1) What kind of algorithm is this?A. Dynamic ProgramingB. Greedy AlgorithmC. Divide and ConquerD. None of the above(2) Is the above algorithm always optimal?A. Yes, for any set of coin denominations c₁ < c₂ <... < c provided c₁= 1.B. Yes, because of special properties of U.S. coin denominations.C. No, the algorithm won't return an optimal solution for some sets of coindenominations.D. No, the algorithm won't return an optimal solution for any set of coindenominations.

Explanation:- In this case, the problem is to find the minimum number of coins needed to pay a given…

Answered: (1) What kind of algorithm is this? A.…

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(1) What kind of algorithm is this? A. Dynamic Programing B. Greedy Algorithm C. Divide and Conquer D. None of the above (2) Is the above algorithm always optimal?