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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the naive approach to finding the closest pair of points?
💡 Hint: Think about how many comparisons you need to make.
Question 2
Easy
What does 'divide and conquer' mean?
💡 Hint: Remember the steps: split, solve, combine.
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 time complexity of the naive approach in finding the closest pair of points?
- O(n)
- O(n^2)
- O(n log n)
💡 Hint: How many pairs are there for n points?
Question 2
True or False: The divide and conquer approach guarantees an optimal solution.
- True
- False
💡 Hint: What does 'guarantee' mean in terms of algorithm results?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of random points, implement the divide and conquer algorithm to find the closest pair and explain each step taken.
💡 Hint: Refer back to each step in the process.
Question 2
Discuss the trade-offs when implementing the closest pair problem for 1D and 2D datasets. What complexities arise?
💡 Hint: Consider spatial dimensions and their implications.
Challenge and get performance evaluation