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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 a brute-force closest pair algorithm?
💡 Hint: Think about how many pairs need to be checked.
Question 2
Easy
Why do we sort the points before finding the closest pair?
💡 Hint: Consider the steps of the divide and conquer method.
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 efficiency of the closest pair algorithm using divide and conquer?
- O(n²)
- O(n log n)
- O(log n)
💡 Hint: Think about how the algorithm is structured.
Question 2
Is it true that the closest pair might not be within the same half when using divide and conquer?
- True
- False
💡 Hint: Consider the way boundary pairs are checked.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the points (3, 4), (2, 3), (5, 1), (1, 5), and (6, 8), find the closest pair.
💡 Hint: Use the distance formula and consider sorting to help with comparisons.
Question 2
Why does the distance branching reduce the number of comparisons for points in the boundary? Provide a mathematical explanation.
💡 Hint: Think about the geometric arrangement of points and their distances.
Challenge and get performance evaluation