Practice Combining Results - 13.5 | 13. Divide and Conquer: Closest Pair of Points | Design & Analysis of Algorithms - Vol 2
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Combining Results

13.5 - Combining Results

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the time complexity of the brute-force approach to the closest pair problem?

💡 Hint: Consider the number of comparisons needed.

Question 2 Easy

What distance formula is used to determine the distance between two points?

💡 Hint: Think about the right triangles involved in measuring distance.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of the closest pair algorithm using divide and conquer?

O(n)
O(n log n)
O(n²)

💡 Hint: Recall how the algorithm splits and sorts points.

Question 2

True or False: The divide and conquer algorithm guarantees to find the closest pair of points.

True
False

💡 Hint: Think of how it divides the problem into parts.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the points (0,2), (1,3), (4,2), and (1,1), apply the closest pair algorithm to determine the closest pair and show your calculations.

💡 Hint: You may need to compare all points.

Challenge 2 Hard

Propose an optimization for cases where there are multiple points with the same x or y coordinates and describe its impact on performance.

💡 Hint: Think about how clustering can impact your choices.

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