Data Structures and Algorithms The Complete Masterclass - Merge Sort Complexity

Data Structures and Algorithms The Complete Masterclass - Merge Sort Complexity

Assessment

Interactive Video

Information Technology (IT), Architecture

University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the complexity of merge sort, highlighting its O(N log N) time complexity. It covers the process of logarithmic decomposition and element comparisons at each level of the algorithm. The tutorial also discusses the best, worst, and average cases, emphasizing that the complexity remains consistent regardless of input. The logic and implementation of merge sort are detailed, followed by an analysis of its time and space complexity, which is O(N) for space due to the need for additional storage.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the time complexity of merge sort?

O(N^2)

O(N log N)

O(log N)

O(N)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many decompositions are there if you have 32 elements?

6

4

3

5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In merge sort, what happens at each level of decomposition?

Elements are multiplied

Elements are compared

Elements are ignored

Elements are divided

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the complexity of merge sort change with different input cases?

Yes, it changes with input type

No, it remains the same

Yes, it changes with input order

Yes, it changes with input size

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the space complexity of merge sort?

O(N)

O(N^2)

O(N log N)

O(log N)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does merge sort require extra space?

To store the sorted array

To store the input size

To store the original array

To store intermediate arrays

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What concept is crucial to understand before implementing merge sort?

Dynamic programming

Divide and conquer recursion

Greedy algorithms

Backtracking

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