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Greedy approach and Dynamic programming are two different algorithmic approaches that can be used to solve optimization problems. Here are the main differences between these two approaches:
| Feature | Greedy Approach | Dynamic Programming |
|---|---|---|
| Optimality | May not always provide an optimal solution. | Guarantees an optimal solution if the problem exhibits the principle of optimality. |
| Subproblem Reuse | Does not reuse solutions to subproblems. | Reuses solutions to overlapping subproblems. |
| Backtracking | Does not involve backtracking. | May involve backtracking, especially in top-down implementations. |
| Complexity | Typically simpler and faster to implement. | May be more complex and slower to implement. |
| Application | Suitable for problems where local optimization leads to global optimization. | Suitable for problems with overlapping subproblems and optimal substructure. |
| Examples | Minimum Spanning Tree, Shortest Path algorithms. | Fibonacci sequence, Longest Common Subsequence. |
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