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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is Dijkstra's algorithm used for?
💡 Hint: Think about shortest path problems.
Question 2
Easy
What is the initial distance of all vertices at the start of Dijkstra's algorithm?
💡 Hint: Consider what we do before starting the pathfinding.
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 Dijkstra's algorithm when using an adjacency matrix?
- O(n)
- O(n log n)
- O(n^2)
- O(m + n)
💡 Hint: Consider how many vertices you need to scan.
Question 2
Dijkstra's algorithm can handle negative edge weights appropriately.
- True
- False
💡 Hint: Think about the implications of negative weights on distance calculations.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with vertices labeled A to E, and weights as follows: A-B: 1, A-C: 5, B-C: 2, B-D: 4, C-D: 1, C-E: 3, D-E: 2. Determine the shortest path from A to E using Dijkstra's algorithm.
💡 Hint: Draw the graph and systematically calculate distances while burning vertices.
Question 2
Create a graph with at least one negative edge but without a negative cycle. Apply Dijkstra's algorithm and explain the outcome.
💡 Hint: Define distances carefully to see where the pitfalls are.
Challenge and get performance evaluation