Which of the following algorithms uses dynamic programming to solve the problem?
Practice Questions
Q1
Which of the following algorithms uses dynamic programming to solve the problem?
Dijkstra's Algorithm
Merge Sort
Floyd-Warshall Algorithm
Quick Sort
Questions & Step-by-Step Solutions
Which of the following algorithms uses dynamic programming to solve the problem?
Step 1: Understand what dynamic programming is. It is a method for solving complex problems by breaking them down into simpler subproblems and storing the results of these subproblems to avoid redundant calculations.
Step 2: Identify the problem we are trying to solve. In this case, we want to find the shortest paths in a weighted graph.
Step 3: Learn about the Floyd-Warshall Algorithm. This algorithm is specifically designed to find the shortest paths between all pairs of vertices in a weighted graph.
Step 4: Recognize that the Floyd-Warshall Algorithm uses dynamic programming. It does this by iteratively updating the shortest path estimates based on previously computed paths.
Step 5: Conclude that the Floyd-Warshall Algorithm is an example of an algorithm that uses dynamic programming to solve the shortest path problem.
