Practice One Dimensional Case (13.3) - Divide and Conquer: Closest Pair of Points

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6 sample questions

Question 1.
What is the time complexity of sorting n points?
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Think of common sorting algorithms.
Question 2.
Why do we only compare adjacent points in a sorted list for finding the closest pair?
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Consider the implications of sorting.
3Question 3.
What is the overall time complexity of finding the closest pair of points in one dimension?
- O(n²)
- O(n log n)
- O(n)
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Focus on the sorting step.
4Question 4.
True or False: In a sorted list, the closest pair of points must be adjacent.
- True
- False
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Think about the nature of sorting.
Question 5.
You have five points at coordinates [10, 2, 4, 6, 8]. Detail the steps to find the closest pair.
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What is the first step you need to take when dealing with a set of unsorted points?
Question 6.
Explain why we assume distances may vary in a more complex scenario with larger datasets.
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Consider how density might affect the closest points.

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