Practice Choosing a Pivot Element - 22.1.4 | 22. Quicksort analysis | Data Structures and Algorithms in Python
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22.1.4 - Choosing a Pivot Element

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the role of the pivot element in the quicksort algorithm?

πŸ’‘ Hint: Think about how quicksort rearranges elements.

Question 2

Easy

Define worst-case performance in the context of sorting algorithms.

πŸ’‘ Hint: Consider how input order affects sorting performance.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the time complexity of quicksort in the average case with random pivot selection?

  • O(n^2)
  • O(n log n)
  • O(n)

πŸ’‘ Hint: Consider average scenarios with different pivot choices.

Question 2

True or False: Quicksort is a stable sorting algorithm in its basic form.

  • True
  • False

πŸ’‘ Hint: Think of examples where equal items change order.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the array [2, 4, 1, 3] and choosing the last element as the pivot, demonstrate each step of quicksort.

πŸ’‘ Hint: Carefully track your pivot partitions at each recursion level.

Question 2

Discuss the implications of not using randomization for pivot selection and how it affects performance with sorted inputs.

πŸ’‘ Hint: Reflect on historical sorting scenarios and adapt for future implementations.

Challenge and get performance evaluation