** Greedy approach** and

**are two different algorithmic approaches that can be used to solve optimization problems. Here are the main differences between these two approaches:**

**Dynamic programming**## Greedy Approach:

- The greedy approach makes the best choice at each step with the hope of finding a
solution.**global optimum** - It selects the
solution at each stage without considering the overall effect on the solution.**locally optimal** - Greedy algorithms are usually simple, easy to implement, and efficient, but they may not always lead to the best solution.

## Dynamic Programming:

- Dynamic programming
breaks down a problem intoand solves each subproblem only once, storing its solution.**smaller subproblems** - It uses the results of solved subproblems to build up a solution to the larger problem.
- Dynamic programming is typically used when the same subproblems are being solved multiple times, leading to inefficient recursive algorithms. By storing the results of subproblems, dynamic programming avoids redundant computations and can be more efficient.

**Difference between Greedy Approach and Dynamic Programming**

**Difference between Greedy Approach and Dynamic Programming**

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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