Which of the following algorithms uses dynamic programming to find the optimal s
Practice Questions
Q1
Which of the following algorithms uses dynamic programming to find the optimal solution?
Dijkstra's algorithm
Bellman-Ford algorithm
Floyd-Warshall algorithm
Merge sort
Questions & Step-by-Step Solutions
Which of the following algorithms uses dynamic programming to find the optimal solution?
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 between all pairs of vertices in a weighted graph.
Step 3: Learn about the Floyd-Warshall algorithm. This algorithm is specifically designed to find the shortest paths in a graph with weighted edges.
Step 4: Recognize that the Floyd-Warshall algorithm uses dynamic programming. It does this by considering all possible paths between pairs of vertices and updating the shortest path based on previously computed paths.
Step 5: Conclude that since the Floyd-Warshall algorithm uses dynamic programming techniques to find the optimal solution, it is the correct answer to the question.
