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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the time complexity of the find operation in an array-based implementation?
💡 Hint: Think about how quickly you can retrieve the component.
Question 2
Easy
What does the make operation in a union-find data structure do?
💡 Hint: Consider what happens to each element initially.
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 amortized time complexity for union operations in a pointer-based union-find?
- O(1)
- O(log n)
- O(n)
💡 Hint: Think about how unions are formed in the data structure.
Question 2
True or False: The find operation can be accomplished in constant time in a pointer-based implementation.
- True
- False
💡 Hint: Consider how trees are structured.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a union-find data structure with elements 1 through 10, perform a series of unions and a find operation. Calculate the time complexity for each operation based on the implementation type.
💡 Hint: Make note of unions performed and the resulting structure.
Question 2
Design a new optimization technique for union-find and compare it against path compression in terms of efficiency.
💡 Hint: Consider methods used in graph algorithms.
Challenge and get performance evaluation