Practice The Merge Operation (14.1.2) - Merge Sort: Analysis - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What does the merge operation do?
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Think about the ordered form of both lists.
Question 2.
What is the time complexity of the merge operation?
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Consider the sizes of both lists.
3Question 3.
What is the overall complexity of merge sort?
- O(n)
- O(n^2)
- O(n log n)
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Consider how it divides the input.
4Question 4.
The merge operation requires how much additional space?
- O(1)
- O(n)
- O(m+n)
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Think about how data is transferred.
Question 5.
Given two sorted lists A = [1, 3, 5] and B = [2, 4, 6], describe how to merge them without duplicates.
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Think about how you can ensure that duplicates are only included once.
Question 6.
Discuss why merge sort's auxiliary space usage may be a drawback in certain applications.
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Consider environments with tight resource constraints.

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