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Which of the following is not a dynamic programming problem?
- a)Fibonacci sequence
- b)Longest common subsequence
- c)Shortest path in a graph
- d)Tower of Hanoi
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following is not a dynamic programming problem?a)Fibonacc...
Shortest path in a graph is a graph algorithm problem, not a dynamic programming problem.
Most Upvoted Answer
Which of the following is not a dynamic programming problem?a)Fibonacc...
Shortest path in a graph is not a dynamic programming problem because:
- Definition:
- Dynamic programming involves breaking down a problem into smaller subproblems and solving each subproblem just once, storing the solution to each subproblem to avoid redundant calculations.
- Shortest path in a graph, on the other hand, typically involves finding the minimum cost path from one node to another in a graph, which is better solved using algorithms like Dijkstra's algorithm or Bellman-Ford algorithm.
- Complexity:
- Dynamic programming problems usually involve overlapping subproblems and optimal substructure, which can be exploited to solve the problem efficiently. Shortest path problems in graphs do not necessarily exhibit these characteristics, making them more suited for graph algorithms rather than dynamic programming.
- Optimal Substructure:
- Dynamic programming problems can be solved by combining solutions to subproblems to form a solution to the original problem. In contrast, the shortest path problem in a graph does not directly lend itself to this approach, as the optimal path may not necessarily be composed of optimal subpaths.
In conclusion, while dynamic programming is a powerful technique for solving a wide range of problems, the shortest path problem in a graph is better addressed using specialized graph algorithms designed specifically for this purpose.
- Definition:
- Dynamic programming involves breaking down a problem into smaller subproblems and solving each subproblem just once, storing the solution to each subproblem to avoid redundant calculations.
- Shortest path in a graph, on the other hand, typically involves finding the minimum cost path from one node to another in a graph, which is better solved using algorithms like Dijkstra's algorithm or Bellman-Ford algorithm.
- Complexity:
- Dynamic programming problems usually involve overlapping subproblems and optimal substructure, which can be exploited to solve the problem efficiently. Shortest path problems in graphs do not necessarily exhibit these characteristics, making them more suited for graph algorithms rather than dynamic programming.
- Optimal Substructure:
- Dynamic programming problems can be solved by combining solutions to subproblems to form a solution to the original problem. In contrast, the shortest path problem in a graph does not directly lend itself to this approach, as the optimal path may not necessarily be composed of optimal subpaths.
In conclusion, while dynamic programming is a powerful technique for solving a wide range of problems, the shortest path problem in a graph is better addressed using specialized graph algorithms designed specifically for this purpose.
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Which of the following is not a dynamic programming problem?a)Fibonacci sequenceb)Longest common subsequencec)Shortest path in a graphd)Tower of HanoiCorrect answer is option 'C'. Can you explain this answer?
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Which of the following is not a dynamic programming problem?a)Fibonacci sequenceb)Longest common subsequencec)Shortest path in a graphd)Tower of HanoiCorrect answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Which of the following is not a dynamic programming problem?a)Fibonacci sequenceb)Longest common subsequencec)Shortest path in a graphd)Tower of HanoiCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not a dynamic programming problem?a)Fibonacci sequenceb)Longest common subsequencec)Shortest path in a graphd)Tower of HanoiCorrect answer is option 'C'. Can you explain this answer?.
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