Practice Finding Minimum Distance (13.5.1) - Divide and Conquer: Closest Pair of Points

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6 sample questions

Question 1.
Define the Closest Pair Problem.
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Think about distance between two points.
Question 2.
What is the time complexity of the brute force solution?
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Consider all possible pairs.
3Question 3.
What is the time complexity of the divide-and-conquer approach to the Closest Pair Problem?
- O(n)
- O(n^2)
- O(n log n)
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Think about sorting and how it contributes to the complexity.
4Question 4.
Is the Closest Pair Problem solvable using a brute force approach?
- True
- False
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Recall the definition and methods used.
Question 5.
Suppose you have 100 random points scattered on a plane. Describe how you would implement the Divide and Conquer algorithm step by step.
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Think about how you handle distances.
Question 6.
Create a dataset of points and manually compute the closest pair using both brute force and divide and conquer methods. Compare the results.
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Use graphing tools for visualization.

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