Algorithms Analysis 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

Which of the following describes a greedy algorithm?

It finds the optimal solution by exploring all possible options

It makes locally optimal choices at each step

A greedy algorithm is characterized by its strategy of making the most advantageous choice at each stage with the hope of finding the overall optimal solution. This means that it selects the best option available at the moment, without considering the global implications of that choice. By making locally optimal choices at each step, the algorithm can efficiently progress towards a solution without the need to explore all possible combinations or backtrack, differing significantly from exhaustive search methods.

This approach is powerful for certain problems where making local optimal choices leads to a globally optimal solution, such as in the case of the coin change problem, the activity selection problem, or certain graph algorithms like Prim's or Kruskal's for minimum spanning trees.

Other answer choices describe aspects of different algorithmic strategies. For instance, finding the optimal solution by exploring all options relates to exhaustive search methods or dynamic programming approaches, which systematically look at all possibilities. Guaranteeing the best overall solution usually pertains to these more exhaustive methods as well. Finally, requiring backtracking indicates a need for re-evaluating past choices to arrive at a solution, which contrasts the progressive, non-backtracking nature of greedy algorithms.

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It guarantees the best overall solution

It requires backtracking to find a solution

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