Practice Divide and Conquer: Closest Pair of Points - 13.1.1 | 13. Divide and Conquer: Closest Pair of Points | Design & Analysis of Algorithms - Vol 2
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13.1.1 - Divide and Conquer: Closest Pair of Points

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the time complexity of the brute-force approach for finding the closest pair of points?

💡 Hint: Think about how many pairs you would check.

Question 2

Easy

What is the main assumption made for the points in the closest pair algorithm?

💡 Hint: Consider how uniqueness helps in distance calculations.

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 closest pair of points using the divide and conquer approach?

  • O(n²)
  • O(n log n)
  • O(log n)

💡 Hint: Think about the steps and their corresponding complexities.

Question 2

True or False: In the closest pair of points problem, we need to check every single point against every other point regardless of their position.

  • True
  • False

💡 Hint: Consider how we split points.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given five points in a 2D space: (1,2), (3,1), (4,4), (5,3), and (2,5). Find the closest pair and use the divide and conquer method to justify your steps.

💡 Hint: Carefully consider step-by-step pair comparisons both within each half and the band across the dividing line.

Question 2

How would you implement a function to perform the closest pair calculation on an arbitrary number of points?

💡 Hint: Start with establishing base case handling and ensure effective recursion.

Challenge and get performance evaluation