16.1.6. Randomized Algorithm

Try these first

1. 1.

   What is the purpose of selecting a pivot in Quicksort?

   Hint

   Think about how the sorting process begins.

2. 2.

   What is the average case time complexity of Quicksort?

   Hint

   Consider what performance is expected across different inputs.

3. 3.

   What is the time complexity of Quicksort in the average case?

   • O(n)
   • O(n log n)
   • O(n²)

   Hint

   Recall the discussion on performance analysis.

4. 4.

   True or False: Quicksort requires additional space for merging sorted arrays.

   • True
   • False

   Hint

   Consider how Quicksort differs from Merge Sort.

5. 5.

   Devise a scenario to illustrate the worst-case input for Quicksort and analyze its performance.

   Hint

   Consider sorting sequences to strategize pivot placement.

6. 6.

   Write a detailed comparative analysis of Quicksort and Merge Sort, focusing on time complexity and suitability for particular types of data.

   Hint

   Look into how each performs with diverse data arrangements.