Practice Introduction of the Floyd-Warshall Algorithm - 1.4 | 1. All-pairs Shortest Paths | Design & Analysis of Algorithms - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Floyd-Warshall algorithm solve?

💡 Hint: Think about the connections between all vertices.

Question 2

Easy

Can the Floyd-Warshall algorithm work with negative weights?

💡 Hint: Consider how negative weights affect paths.

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 accomplish?

  • Finds single source paths
  • Finds shortest paths between all vertex pairs
  • Identifies negative cycles

💡 Hint: Reflect on what 'all-pairs' means.

Question 2

True or False: The Floyd-Warshall algorithm can handle graphs with negative cycles.

  • True
  • False

💡 Hint: Remember what defines a cycle in this context.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a graph with negative edges but no cycles. Apply the Floyd-Warshall algorithm and outline your distance matrix updates.

💡 Hint: Start with a diagram.

Question 2

Analyze the efficiency trade-offs between Floyd-Warshall and Dijkstra's algorithm for various types of graphs.

💡 Hint: Compare the number of edges vs vertices.

Challenge and get performance evaluation