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

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation