Practice Average Case Complexity - 16.1.5 | 16. Introduction to Quicksort | Design & Analysis of Algorithms - Vol 1
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Average Case Complexity

16.1.5 - Average Case Complexity

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the average case time complexity of Quicksort?

💡 Hint: Think about how the algorithm performs across many typical inputs.

Question 2 Easy

How does Quicksort partition an array?

💡 Hint: Remember the role of the pivot in dividing the array.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the worst-case time complexity of Quicksort?

O(n log n)
O(n²)
O(n)

💡 Hint: Reflect on cases where the pivot choice leads to unbalanced splits.

Question 2

Average-case performance of Quicksort is O(n log n). True or False?

True
False

💡 Hint: Think about how it performs on most random inputs.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design an example input for Quicksort that results in the worst-case performance. Explain your reasoning.

💡 Hint: Consider how the partitioning impacts the subsequent recursive calls.

Challenge 2 Hard

Transform the provided Quicksort pseudocode into an iterative form using a stack. Explain how stack operations mirror recursive calls.

💡 Hint: Trace through the recursive calls to see how they'd translate into managing state on a stack.

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