13.4 - Two Dimensional Case
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Practice Questions
Test your understanding with targeted questions
What is the time complexity of a brute force closest pair algorithm?
💡 Hint: Consider how many pairs you have to check.
Name the formula used to calculate distance in a 2D plane.
💡 Hint: It involves squares and square roots.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What effect does sorting the points have on the closest pair algorithm?
💡 Hint: Think about how you would approach finding the closest points without sorting.
Is the closest pair algorithm based on divide and conquer?
💡 Hint: Recall the key strategy we discussed.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the coordinates of 10 points in a 2D plane, visualize their positions and demonstrate the divide-and-conquer steps you would take to find the closest pair.
💡 Hint: Focus on groups of points and how they might interact on either side of the dividing line.
Create a real-world scenario where finding the closest pair would be advantageous. Describe how you would implement the algorithm while considering limitations.
💡 Hint: Think of a dynamic or changing environment, like a delivery service.
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