Practice Path Compression Technique - 7.9 | 7. Union-Find Data Structure Using Pointers | Design & Analysis of Algorithms - Vol 2
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Path Compression Technique

7.9 - Path Compression Technique

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the primary purpose of the union-find data structure?

💡 Hint: Think about partitioning sets.

Question 2 Easy

How does path compression enhance the find operation?

💡 Hint: What happens to the pointers after finding a root?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is path compression used for in the union-find data structure?

To reduce the number of components
To flatten the tree structure
To track component sizes

💡 Hint: Focus on efficiency during find operations.

Question 2

True or False: The union operation in the union-find data structure can be made to run in constant time.

True
False

💡 Hint: Think about how we determine which tree to merge.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design an algorithm that incorporates path compression and union by size for an extensive dataset. Analyze its implications on efficiency.

💡 Hint: What happens to depth during repeated operations?

Challenge 2 Hard

Present a real-world scenario where the union-find structure with path compression would provide significant benefit, especially involving frequent merges and queries.

💡 Hint: Consider how friend connections change over time.

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