Practice Effect of Path Compression on Complexity - 7.10 | 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 are the three key operations of a union-find data structure?

💡 Hint: Think about what operations track and manage sets.

Question 2

Easy

Explain what path compression does during a find operation.

💡 Hint: Consider how this affects subsequent 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 does path compression primarily improve in the union-find data structure?

  • Union operation efficiency
  • Find operation efficiency
  • Initialization time

💡 Hint: Think about what operation is directly aided by reducing paths in the data structure.

Question 2

True or False: With path compression, the union operation always takes constant time.

  • True
  • False

💡 Hint: Reflect on how merging trees might work.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If a union-find structure has 1000 nodes, and 900 union operations are executed with path compression, how would you describe the final tree structure?

💡 Hint: Visualize how multiple unions lead to various branches merging.

Question 2

In a scenario where elements are added incrementally to the union-find structure, come up with a strategy to apply path compression effectively.

💡 Hint: Consider how paths change with every operation.

Challenge and get performance evaluation