How does the greedy approach differ from dynamic programming in solving the coin change problem?

  • Dynamic programming is faster than the greedy approach but may not guarantee the optimal solution.
  • Greedy approach always provides the optimal solution, while dynamic programming may not.
  • Greedy approach considers the local optimum at each step, while dynamic programming considers the global optimum by solving subproblems and building up to the overall solution.
  • Greedy approach is suitable only for fractional knapsack problems, not for coin change problems.
The greedy approach makes locally optimal choices at each step, hoping to find a global optimum. Dynamic programming, however, systematically solves subproblems and builds up to the overall optimal solution.
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