Practice Recurrence Relation for Merge Sort - 20.3.1 | 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 function?

πŸ’‘ Hint: Think about how many elements you need to compare.

Question 2

Easy

State the recurrence relation for Merge Sort.

πŸ’‘ Hint: Consider how the sorting problem breaks down.

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 the merge function?

  • O(n)
  • O(n log n)
  • O(m + n)

πŸ’‘ Hint: Look at how many lists we're merging.

Question 2

True or False: Merge Sort operates recursively.

  • True
  • False

πŸ’‘ Hint: Recall the definition of the sorting process.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given an array of random numbers, apply the Merge Sort algorithm manually to sort the array, and track the time complexity at each merging step.

πŸ’‘ Hint: Pay attention to how the smaller sublists are combined back together.

Question 2

Create a space-efficient variant of Merge Sort that minimizes the use of additional arrays for merging.

πŸ’‘ Hint: Consider different algorithms that offer in-place sorting.

Challenge and get performance evaluation