13.2.4 - Brute Force Solution
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Practice Questions
Test your understanding with targeted questions
What is the time complexity of the brute force method?
💡 Hint: Think about how many comparisons are needed as the number of points increases.
Define the Pythagorean theorem.
💡 Hint: Remember the formula for finding distances on a plane.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary drawback of the brute force algorithm in finding the closest pair of points?
💡 Hint: Think about how exhaustive checking can slow down computations.
True or False: The divide and conquer approach can reduce the time complexity to O(n log n).
💡 Hint: Recall the significance of separating points and reducing overall comparisons.
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Challenge Problems
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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.
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.
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