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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What are the two parts of a node in the union-find data structure?
💡 Hint: Think about how each element relates to other components.
Question 2
Easy
Define path compression in simple terms.
💡 Hint: Consider how it impacts node connections after a 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 does a node in the union-find structure represent?
- A single element
- A component
- Both a and b
💡 Hint: Remember the structure of a node.
Question 2
True or False: Path compression can only be applied once during a find operation.
- True
- False
💡 Hint: Consider how nodes are adjusted during traversal.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of elements {1, 2, 3, 4, 5}, illustrate the union-find operations after performing unions (1,2) and (3,4). Followed by a union (2,4). Construct the final structure.
💡 Hint: Start by visualizing the connections after each union.
Question 2
Explain how amortized analysis is done for the union-find structure. What can we conclude about time complexities per operation?
💡 Hint: Consider approximating over multiple sequences rather than single operations.
Challenge and get performance evaluation