Practice One Dimensional Case - 13.3 | 13. Divide and Conquer: Closest Pair of Points | Design & Analysis of Algorithms - Vol 2
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One Dimensional Case

13.3 - One Dimensional Case

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the time complexity of sorting n points?

💡 Hint: Think of common sorting algorithms.

Question 2 Easy

Why do we only compare adjacent points in a sorted list for finding the closest pair?

💡 Hint: Consider the implications of sorting.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the overall time complexity of finding the closest pair of points in one dimension?

O(n²)
O(n log n)
O(n)

💡 Hint: Focus on the sorting step.

Question 2

True or False: In a sorted list, the closest pair of points must be adjacent.

True
False

💡 Hint: Think about the nature of sorting.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have five points at coordinates [10, 2, 4, 6, 8]. Detail the steps to find the closest pair.

💡 Hint: What is the first step you need to take when dealing with a set of unsorted points?

Challenge 2 Hard

Explain why we assume distances may vary in a more complex scenario with larger datasets.

💡 Hint: Consider how density might affect the closest points.

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