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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What are the three main operations of the Union-Find data structure?
💡 Hint: Think about the roles of initializing, merging, and checking components.
Question 2
Easy
What does path compression do?
💡 Hint: Consider how pointers rearrange after find operations.
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 the union operation using pointers?
- O(n)
- O(1)
- O(log n)
💡 Hint: Consider how many steps are taken during the operation.
Question 2
True or False: The Find operation requires O(log n) time in the Union-Find structure.
- True
- False
💡 Hint: Think of tree paths during find operations.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a Union-Find structure with n elements and m union operations, describe the expected time complexity for m find operations, including the impact of path compression.
💡 Hint: Consider the efficiency gained by repeatedly flattening the tree.
Question 2
Imagine you have a scenario where many union operations result in a deep tree structure. Describe how using path compression can alter the time complexity of subsequent find operations.
💡 Hint: Think about what happens to the height of the tree after each find.
Challenge and get performance evaluation