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Which of the following standard algorithms is not Dynamic Programming based.
  • a)
    Bellman–Ford Algorithm for single source shortest path
  • b)
    Floyd Warshall Algorithm for all pairs shortest paths
  • c)
    0-1 Knapsack problem
  • d)
    Prim's Minimum Spanning Tree
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following standard algorithms is not Dynamic Programming ...
Prim's Minimum Spanning Tree is a Greedy Algorithm. All other are dynamic programming based.
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Most Upvoted Answer
Which of the following standard algorithms is not Dynamic Programming ...
Prims Minimum Spanning Tree
Prims Minimum Spanning Tree algorithm is not a Dynamic Programming based algorithm. Here's why:

Dynamic Programming Algorithms
- Dynamic Programming algorithms involve breaking down a complex problem into simpler subproblems and solving each subproblem only once, then storing the solutions to avoid redundant calculations.
- Common characteristics of Dynamic Programming algorithms include overlapping subproblems and optimal substructure.

Prims Minimum Spanning Tree Algorithm
- Prim's algorithm is a greedy algorithm used to find the minimum spanning tree of a connected, undirected graph.
- It starts with an arbitrary node and grows the spanning tree by adding the minimum weight edge at each step until all nodes are included.
- Unlike Dynamic Programming algorithms, Prim's algorithm does not involve breaking down the problem into subproblems or storing intermediate results to avoid recomputation.
Therefore, Prims Minimum Spanning Tree algorithm is not considered a Dynamic Programming based algorithm.
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Which of the following standard algorithms is not Dynamic Programming based.a)Bellman–Ford Algorithm for single source shortest pathb)Floyd Warshall Algorithm for all pairs shortest pathsc)0-1 Knapsack problemd)Prims Minimum Spanning TreeCorrect answer is option 'D'. Can you explain this answer?
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