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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 method?
💡 Hint: Think about how many comparisons are needed as the number of points increases.
Question 2
Easy
Define the Pythagorean theorem.
💡 Hint: Remember the formula for finding distances on a plane.
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 primary drawback of the brute force algorithm in finding the closest pair of points?
- It is too fast
- It checks every possible pair
- It uses complex calculations
💡 Hint: Think about how exhaustive checking can slow down computations.
Question 2
True or False: The divide and conquer approach can reduce the time complexity to O(n log n).
- True
- False
💡 Hint: Recall the significance of separating points and reducing overall comparisons.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the points (1,3), (2,8), (3,5), and (3,1), implement a brute force solution to find the closest pair.
💡 Hint: Use the distance formula consistently across each pair.
Question 2
Design a complete algorithm using divide and conquer for finding the closest pair in a given set of n points. Outline its steps clearly.
💡 Hint: Remember to maintain the sorted order and identify the boundary limits.
Challenge and get performance evaluation