Practice Merging Components - 7.5 | 7. Union-Find Data Structure Using Pointers | Design & Analysis of Algorithms - Vol 2
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Merging Components

7.5 - Merging Components

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the union operation do in the union-find data structure?

💡 Hint: Think about how groups combine.

Question 2 Easy

What is the purpose of the find operation?

💡 Hint: This is like checking which group someone is in.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of the find operation with path compression?

O(n)
O(log n)
amortized O(α(n))

💡 Hint: Think about how the tree structure changes.

Question 2

True or False: The union operation can be performed in constant time.

True
False

💡 Hint: Consider what the union operation entails.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Implement your own union-find structure in Python that supports union, find, and path compression. Analyze the time taken for a large number of operations.

💡 Hint: Focus on implementing proper data structures and optimizing for find operations.

Challenge 2 Hard

Create a visualization of union-find operations showing how paths change with path compression.

💡 Hint: Detail the process and highlight the differences before and after path compression.

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Reference links

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