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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 naive solution to the closest pair problem?
💡 Hint: Consider how many pairs you have to check in the brute-force method.
Question 2
Easy
Explain why sorting is beneficial in the closest pair algorithm.
💡 Hint: Think about how adjacent points relate to the closest pairing.
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 algorithmic technique does the closest pair problem use?
- Greedy Algorithm
- Divide and Conquer
- Brute Force
💡 Hint: Think about how we break down the problem into smaller pieces.
Question 2
True or False: The closest pair algorithm can only be applied if all points have unique coordinates.
- True
- False
💡 Hint: Consider how duplicates may or may not affect overall results.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You're given six points: A(1, 1), B(1, 3), C(4, 2), D(5, 1), E(2, 4), F(3, 5). Apply the closest pair algorithm to find the closest pair. Show your working.
💡 Hint: Run through the algorithm step-by-step, sorting first and checking adjacent pairs.
Question 2
Imagine applying a nearest neighbor technique for a group of 10 random points. Propose a method that ensures the algorithm stays efficient and does not revert to O(n²) even with duplicates.
💡 Hint: Think about leveraging both sorting and efficient data structures.
Challenge and get performance evaluation