Practice Recurrence Relation For Merge Sort (20.3.1) - Mergesort, analysis
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Recurrence Relation for Merge Sort

Practice - Recurrence Relation for Merge Sort

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Practice Questions

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Question 1 Easy

What is the time complexity of the merge function?

💡 Hint: Think about how many elements you need to compare.

Question 2 Easy

State the recurrence relation for Merge Sort.

💡 Hint: Consider how the sorting problem breaks down.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of the merge function?

O(n)
O(n log n)
O(m + n)

💡 Hint: Look at how many lists we're merging.

Question 2

True or False: Merge Sort operates recursively.

True
False

💡 Hint: Recall the definition of the sorting process.

1 more question available

Challenge Problems

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Challenge 1 Hard

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.

💡 Hint: Pay attention to how the smaller sublists are combined back together.

Challenge 2 Hard

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

💡 Hint: Consider different algorithms that offer in-place sorting.

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Reference links

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