Practice Maintaining Component Information - 7.6 | 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 is the primary purpose of the union-find data structure?

💡 Hint: Think about set operations.

Question 2

Easy

What does the find operation do?

💡 Hint: It helps you locate the root of an element's component.

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 complexity of the union operation in the pointer-based union-find structure?

  • O(1)
  • O(log n)
  • O(n)

💡 Hint: Consider how many steps are needed to perform this operation.

Question 2

True or False: Path compression increases the time for future find operations.

  • True
  • False

💡 Hint: Think about the benefit of having shorter paths.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design an algorithm that takes a series of union operations followed by find operations on a union-find data structure. Analyze the complexity of your solution.

💡 Hint: Focus on balancing your merges during union operations.

Question 2

Given a sequence of union and find operations, outline how you would visualize the union-find tree and the paths followed in find operations.

💡 Hint: Keep track of each operation and its effect on the tree structure.

Challenge and get performance evaluation