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2 cards from this section. Quick, good the night before a test.
What is the time complexity of the brute force method?
Think about how many comparisons are needed as the number of points increases.
Define the Pythagorean theorem.
Remember the formula for finding distances on a plane.
What is the primary drawback of the brute force algorithm in finding the closest pair of points?
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).
Recall the significance of separating points and reducing overall comparisons.
Given the points (1,3), (2,8), (3,5), and (3,1), implement a brute force solution to find the closest pair.
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.
Remember to maintain the sorted order and identify the boundary limits.
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