Question: 4 . [ 2 0 points ] ( G - required ) Consider the coin changing problem discussed in class, with the following coindenominations: 1

4 . [20

points

] (

-

required

)

Consider the coin changing problem discussed in class, with the following coindenominations:

1, 8, 12 .

Indicate if the greedy algorithm from class is optimal for thesedenominations. If the algorithm is optimal, give a brief justification, if it is not optimal givea counterexample.

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