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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the Floyd-Warshall algorithm compute?
💡 Hint: Think about what you want to find in the graph.
Question 2
Easy
Does the Floyd-Warshall algorithm work with negative edge weights?
💡 Hint: Consider what negative cycles do to path calculations.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the time complexity of the Floyd-Warshall algorithm?
- O(n)
- O(n²)
- O(n³)
💡 Hint: Think about how many vertices are involved in the updates.
Question 2
True or False: The Floyd-Warshall algorithm can handle graphs with negative cycles.
- True
- False
💡 Hint: Remember that negative cycles alter path finding.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a directed graph with vertices A, B, C, and D. The edges are as follows: A to B (3), A to C (5), B to D (2), and C to D (1). Compute the shortest paths between all pairs using the Floyd-Warshall method.
💡 Hint: Use the initial weight matrix to track distances through each step.
Question 2
Design an example graph that contains a negative cycle. Explain why the Floyd-Warshall algorithm cannot provide a valid solution for this graph.
💡 Hint: Focus on how negative edge weights contribute to cycles when combined.
Challenge and get performance evaluation