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

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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?

Question 2

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

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

Challenge and get performance evaluation