Practice Base Case And Unwinding The Recursion (20.3.2) - Mergesort, analysis
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Base Case and Unwinding the Recursion

Practice - Base Case and Unwinding the Recursion

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the time complexity of the merge operation?

💡 Hint: Consider what happens as you merge the two lists.

Question 2 Easy

Explain the base case in the context of Merge Sort.

💡 Hint: Think about what happens with very small lists.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 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

💡 Hint: Recall the two main phases in the sorting process.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Recall how to express recursive functions as tree structures for analysis.

Challenge 2 Hard

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

💡 Hint: Consider how to efficiently skip duplicates as you perform the merge.

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