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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 for finding the closest pair of points?
💡 Hint: Consider how many pairs you need to check.
Question 2
Easy
What theorem do we use for distance calculations?
💡 Hint: Remember the formula using x and y differences.
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 divide and conquer approach for the closest pair of points?
- O(n)
- O(n log n)
- O(n²)
💡 Hint: Think about sorting and splitting in the process.
Question 2
Is the brute-force method efficient for large datasets?
- True
- False
💡 Hint: Consider the growth rate of pair comparisons.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given 10 random points, explain step-by-step how the closest pair would be determined using the divide and conquer approach while providing specific distance calculations.
💡 Hint: Remember to calculate distances as you compare candidates.
Question 2
In a dataset of 50 random points, simulate the divide and conquer approach and describe how many pairwise distance checks would be required versus using a naive method.
💡 Hint: Use the formula for combinations to count pairs: n(n-1)/2.
Challenge and get performance evaluation