Question: 2. Does the greedy algorithm always give an optimal solution in the sys- tem of denominations d(1) = 1, d(2)-7, d(3) 10? Justify your answer.

2. Does the greedy algorithm always give an optimal solution in

2. Does the greedy algorithm always give an optimal solution in the sys- tem of denominations d(1) = 1, d(2)-7, d(3) 10? Justify your answer. (If you say yes, prove it; if you say no, give a counter example to show that the greedy algorithm does not give an optimal solution.)

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