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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the purpose of using a min-heap in Dijkstra's algorithm?
💡 Hint: Think about the operations we need to perform frequently.
Question 2
Easy
How are initial distances set in Dijkstra's algorithm?
💡 Hint: What initialization allows us to start our shortest path search?
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 using heaps?
- O(N)
- O(N log N)
- O((N + M) log N)
💡 Hint: Consider both vertices and edges in your calculations.
Question 2
Dijkstra's algorithm guarantees the shortest path for which type of graph?
- True
- False
💡 Hint: Think about how edge weights can influence the shortest paths.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a graph with at least 5 vertices and weighted edges. Perform Dijkstra's algorithm and describe each step including the heap updates.
💡 Hint: Begin with the starting vertex and iteratively find the next minimum distance.
Question 2
Explain how modifying edge weights can impact Dijkstra’s algorithm and provide an example.
💡 Hint: Consider both increasing and decreasing an edge's weight.
Challenge and get performance evaluation