16.1.3. Best Case Scenario

Try these first

1. 1.

   What is the time complexity of Quicksort in the best-case scenario?

   Hint

   Think about the optimal arrangement of elements.

2. 2.

   How does Quicksort partition the array?

   Hint

   Focus on the role of the pivot in the process.

3. 3.

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

   • O(n)
   • O(n log n)
   • O(n²)

   Hint

   Think about how permutations affect the average performance.

4. 4.

   True or False: The pivot in Quicksort can only be the last element of the array.

   • True
   • False

   Hint

   Consider different strategies for pivot selection.

5. 5.

   Given an array of integers that are sorted in decreasing order, analyze the performance of Quicksort based on different pivot choices. Discuss the implications.

   Hint

   Focus on how poor pivot choice impacts eventual partitioning.

6. 6.

   Design and implement a randomized Quicksort algorithm in pseudocode. Explain how it mitigates worst-case time complexity.

   Hint

   Consider how randomness influences partitioning hence affects runtime.