13.6.1. Base Case for Recursion

Try these first

1. 1.

   What is a base case in recursion?

   Hint

   Think about the scenario when no further recursion is needed.

2. 2.

   What time complexity does the brute force method have for finding the closest pair?

   Hint

   Consider how many pair comparisons are made.

3. 3.

   What is the main purpose of a base case in recursion?

   • To define a recursive step
   • To end the recursion
   • To solve the main problem

   Hint

   Consider the scenario where no further breakdown is necessary.

4. 4.

   True or False: The closest pair of points algorithm requires checking all possible pairs.

   • True
   • False

   Hint

   Think about how points can be divided and the implications for calculations.

5. 5.

   You are given a set of points in a 2D plane. Describe how you would implement the divide and conquer algorithm for finding the closest points and discuss any assumptions you make.

   Hint

   Focus on sorting and efficiently checking distances.

6. 6.

   Given a large dataset of points, explain how you would improve the efficiency of searching for the closest pair and what pitfalls to avoid.

   Hint

   Consider how sorting affects overall performance.