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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the distance between the points (3, 4) and (7, 1).
💡 Hint: Use the Distance Formula.
Question 2
Easy
If A is (2, 2) and B is (5, 5), can you find the distance between A and B?
💡 Hint: What do the coordinates tell you about the distance?
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 brute-force method to find the closest pair of points?
- O(n log n)
- O(n²)
- O(n)
💡 Hint: Think about how many pairs you would check.
Question 2
Statement: The Distance Formula assumes points have the same coordinates to start. True or False?
- True
- False
💡 Hint: What does the formula require for its application?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a set of points: (1, 3), (2, 9), (3, 6), (5, 1), and (7, 8). Apply the divide and conquer method to find the closest pair, detailing your steps.
💡 Hint: Remember to only focus on points near the boundary; many distances might not apply.
Question 2
Given ten random points in a 2D-plane, devise a strategy using the concepts from this section to find the closest pair in the least amount of time.
💡 Hint: Efficiency in reducing the search space is crucial.
Challenge and get performance evaluation