Practice Average Case Complexity (16.1.5) - Introduction to Quicksort - Design & Analysis of Algorithms

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the average case time complexity of Quicksort?
Show hintHide hint
Think about how the algorithm performs across many typical inputs.
Question 2.
How does Quicksort partition an array?
Show hintHide hint
Remember the role of the pivot in dividing the array.
3Question 3.
What is the worst-case time complexity of Quicksort?
- O(n log n)
- O(n²)
- O(n)
Show hintHide hint
Reflect on cases where the pivot choice leads to unbalanced splits.
4Question 4.
Average-case performance of Quicksort is O(n log n). True or False?
- True
- False
Show hintHide hint
Think about how it performs on most random inputs.
Question 5.
Design an example input for Quicksort that results in the worst-case performance. Explain your reasoning.
Show hintHide hint
Consider how the partitioning impacts the subsequent recursive calls.
Question 6.
Transform the provided Quicksort pseudocode into an iterative form using a stack. Explain how stack operations mirror recursive calls.
Show hintHide hint
Trace through the recursive calls to see how they'd translate into managing state on a stack.

5 more questions in this section. Enroll free to practise them all.