Question

The Quicksort and randomized Quicksort procedures differ in:

• A. Selection of Pivot element
• B. Worst case time complexity
• C. Best case time complexity
• D. Final Output

Hint:

Randomized Quicksort uses a random pivot to improve the expected performance and avoid the worst case, which is common in the regular Quicksort.

Answer 1

The Correct Option is A

Step 1: Understanding Quicksort and Randomized Quicksort.
- **Quicksort**: In traditional quicksort, the pivot element is selected in a deterministic manner, usually the first element, the last element, or the middle element.
- **Randomized Quicksort**: In randomized quicksort, the pivot element is selected randomly. This helps in improving performance by avoiding the worst-case scenario (which occurs when the pivot always divides the array poorly).

Step 2: Conclusion.
The key difference between the two algorithms is the **selection of the pivot element**.