Practice Initial Sorting Phase (13.7.1) - Divide and Conquer: Closest Pair of Points

Practice: Initial Sorting Phase

Lesson 13.7.1Divide and Conquer: Closest Pair of Points

Practise this section

10 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
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the time complexity of a brute-force closest pair algorithm?
Show hintHide hint
Think about how many pairs need to be checked.
Question 2.
Why do we sort the points before finding the closest pair?
Show hintHide hint
Consider the steps of the divide and conquer method.
3Question 3.
What is the efficiency of the closest pair algorithm using divide and conquer?
- O(n²)
- O(n log n)
- O(log n)
Show hintHide hint
Think about how the algorithm is structured.
4Question 4.
Is it true that the closest pair might not be within the same half when using divide and conquer?
- True
- False
Show hintHide hint
Consider the way boundary pairs are checked.
Question 5.
Given the points (3, 4), (2, 3), (5, 1), (1, 5), and (6, 8), find the closest pair.
Show hintHide hint
Use the distance formula and consider sorting to help with comparisons.
Question 6.
Why does the distance branching reduce the number of comparisons for points in the boundary? Provide a mathematical explanation.
Show hintHide hint
Think about the geometric arrangement of points and their distances.

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