Which of the following algorithms is an example of dynamic programming?
Practice Questions
Q1
Which of the following algorithms is an example of dynamic programming?
Merge Sort
Dijkstra's Algorithm
Floyd-Warshall Algorithm
Binary Search
Questions & Step-by-Step Solutions
Which of the following algorithms is an example of dynamic programming?
Step 1: Understand what dynamic programming is. It is a method for solving complex problems by breaking them down into simpler subproblems.
Step 2: Identify the characteristics of dynamic programming. It typically involves overlapping subproblems and optimal substructure.
Step 3: Look at the algorithms provided in the question. Check if any of them use dynamic programming principles.
Step 4: Recognize that the Floyd-Warshall Algorithm is designed to find the shortest paths between all pairs of vertices in a weighted graph.
Step 5: Confirm that the Floyd-Warshall Algorithm uses dynamic programming by storing the results of subproblems (shortest paths) to avoid redundant calculations.
Step 6: Conclude that since the Floyd-Warshall Algorithm meets the criteria of dynamic programming, it is indeed an example of this technique.
