Practice Points In The Zone (13.5.3) - Divide and Conquer: Closest Pair of Points

Practice: Points in the Zone

Lesson 13.5.3Divide and Conquer: Closest Pair of Points

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the time complexity of the brute force approach for finding the closest pair of points?
Show hintHide hint
Consider how many comparisons you're making with n points.
Question 2.
Which formula is used to calculate the distance between two points in a 2D plane?
Show hintHide hint
Think about the Pythagorean theorem.
3Question 3.
What is the main focus of the closest pair of points algorithm?
- Finding the farthest points
- Finding the closest pair of points
- Sorting points
Show hintHide hint
Think about the problem definition.
4Question 4.
The time complexity of the divide and conquer algorithm for finding the closest pair of points is:
- True
- False
Show hintHide hint
Consider how sorting contributes to the complexity.
Question 5.
Given a set of ten points, describe the steps you would take to implement the divide and conquer algorithm to find the closest pair.
Show hintHide hint
Work through each step patiently.
Question 6.
How does the existence of multiple points within a zone affect the accuracy of the closest pair distance?
Show hintHide hint
Consider the relationship across the dividing line.

5 more questions in this section. Enroll free to practise them all.