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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the closest pair problem.
💡 Hint: Think about real-world applications.
Question 2
Easy
What is the naive approach to solving the closest pair problem?
💡 Hint: Consider how many pairs there are.
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 naive closest pair algorithm?
- O(n log n)
- O(n)
- O(n²)
💡 Hint: Consider the number of pairs formed with n points.
Question 2
True or False: The divide and conquer method reduces the time complexity of the closest pair problem.
- True
- False
💡 Hint: Think about efficiency gains.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of 10 random (x, y) coordinates, implement the divide and conquer algorithm to find the closest pair. Explain each step you took in solving the problem.
💡 Hint: Think of how sorting aids in your recursive splits.
Question 2
Design a scenario where the naive closest pair algorithm could significantly lag behind the divide and conquer method, quantifying the difference in time taken for n=1000 points.
💡 Hint: Compare computational efforts of both approaches in practical terms.
Challenge and get performance evaluation