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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 brute-force approach to the closest pair problem?
💡 Hint: Consider the number of comparisons needed.
Question 2
Easy
What distance formula is used to determine the distance between two points?
💡 Hint: Think about the right triangles involved in measuring distance.
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 closest pair algorithm using divide and conquer?
- O(n)
- O(n log n)
- O(n²)
💡 Hint: Recall how the algorithm splits and sorts points.
Question 2
True or False: The divide and conquer algorithm guarantees to find the closest pair of points.
- True
- False
💡 Hint: Think of how it divides the problem into parts.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the points (0,2), (1,3), (4,2), and (1,1), apply the closest pair algorithm to determine the closest pair and show your calculations.
💡 Hint: You may need to compare all points.
Question 2
Propose an optimization for cases where there are multiple points with the same x or y coordinates and describe its impact on performance.
💡 Hint: Think about how clustering can impact your choices.
Challenge and get performance evaluation