13.2 - Introduction to the Problem
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Practice Questions
Test your understanding with targeted questions
Define the closest pair problem in your own words.
💡 Hint: Think about what it means to find something that is closest.
What is the time complexity of the brute force method?
💡 Hint: Consider how many pairs you have for n points.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary method discussed to find the closest pair of points?
💡 Hint: Consider the method that involves breaking down the problem.
True or False: Brute force is always more efficient than divide and conquer.
💡 Hint: Reflect on the complexities of each approach.
1 more question available
Challenge Problems
Push your limits with advanced challenges
You are given a set of points in a three-dimensional space. Describe how the closest pair strategy changes for this additional dimension.
💡 Hint: Consider how the additional coordinate impacts the sorting and distance comparisons.
Design an algorithm that finds the closest pair among n million points. Discuss the computational constraints you may encounter.
💡 Hint: Think about how large datasets may exceed standard memory limits and what strategies can mitigate that.
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Reference links
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