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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the All-pairs Shortest Paths problem?
💡 Hint: Think about a scenario involving multiple locations.
Question 2
Easy
Can a graph have negative cycles?
💡 Hint: Consider the implications of having a cycle with negative weights.
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 does the Floyd-Warshall algorithm calculate?
- Minimum spanning tree
- Single-source shortest paths
- All-pairs shortest paths
💡 Hint: Consider which type of paths it handles.
Question 2
True or False: Negative cycles allow for well-defined shortest paths.
- True
- False
💡 Hint: Think about what happens to path lengths in a loop.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Modify the Floyd-Warshall algorithm to handle graphs with different weight ranges or constraints. Describe the thought process and adjustments needed.
💡 Hint: Think about how constraints might affect path calculations.
Question 2
Create a graph with four vertices and specific weights, then manually apply the Floyd-Warshall algorithm step-by-step. Illustrate the changes at each stage.
💡 Hint: Keep track of which vertex is serving as an intermediary at each step.
Challenge and get performance evaluation