Greedy Algorithms
A greedy algorithm is a problem-solving approach that makes the best possible choice at each step, aiming for a global optimum by always choosing what looks best in the moment.
Key Characteristics
- Optimal Substructure: The problem can be divided into smaller subproblems, and the optimal solution to the overall problem can be constructed from the optimal solutions of these subproblems.
- Greedy Choice Property: At every step, a locally optimal choice is made with the hope that these choices will lead to a globally optimal solution.
Greedy algorithms are often simple and efficient, but they don't always guarantee the best solution for every problem. They're most effective when the problem exhibits both optimal substructure and the greedy choice property.