Practice Base Case and Unwinding the Recursion - 20.3.2 | 20. Mergesort, analysis | Data Structures and Algorithms in Python
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the time complexity of the merge operation?

πŸ’‘ Hint: Consider what happens as you merge the two lists.

Question 2

Easy

Explain the base case in the context of Merge Sort.

πŸ’‘ Hint: Think about what happens with very small lists.

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 primary purpose of the merge function?

  • To sort a single list
  • To combine two sorted lists
  • To compare two lists

πŸ’‘ Hint: Think about the primary operation that merge is designed for.

Question 2

True or False: The time complexity of Merge Sort is O(n).

  • True
  • False

πŸ’‘ Hint: Recall the two main phases in the sorting process.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that the time complexity of the Merge Sort algorithm is O(n log n) by writing out the recurrence and solving it.

πŸ’‘ Hint: Recall how to express recursive functions as tree structures for analysis.

Question 2

Write an algorithm that uses the merge function to create a union of two lists, using the property of sorted lists to omit duplicates.

πŸ’‘ Hint: Consider how to efficiently skip duplicates as you perform the merge.

Challenge and get performance evaluation