Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the purpose of the union-find data structure?
💡 Hint: Think about group management and connections.
Question 2
Easy
Which operation checks the component of an element?
💡 Hint: This operation helps you know where an element's group is.
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 initial time complexity for the find operation in union-find?
- O(n)
- O(log n)
- O(1)
💡 Hint: Consider what happens during a direct lookup.
Question 2
Is the amortized complexity for the union operation O(log m)?
- True
- False
💡 Hint: Think about the sequence of operations and how they merge.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a sequence of union operations, illustrate how the data structure looks after each operation. Describe what happens to the find operations for the involved elements.
💡 Hint: Use a diagram to represent the sequence and changes.
Question 2
Suppose you implement path compression in the union-find structure. Analyze the implications of this on the time complexity of find operations across multiple sequences.
💡 Hint: Sketch out how the path updates during the process.
Challenge and get performance evaluation