Practice Examples Of Different Time Complexities (8.2.1.2.4) - Undecidability and Introduction to Complexity Theory
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Examples of Different Time Complexities

Practice - Examples of Different Time Complexities

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Practice Questions

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Question 1 Easy

What is the time complexity of accessing an element by index in an array?

💡 Hint: Think about operations that do not depend on input size.

Question 2 Easy

Name an algorithm that exhibits logarithmic time complexity.

💡 Hint: Which search algorithm divides the input in half each time?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of an algorithm that directly accesses an array element?

O(n)
O(1)
O(log n)

💡 Hint: Consider how you would directly access an indexed position.

Question 2

True or False: A binary search algorithm has a time complexity of O(n).

True
False

💡 Hint: Recall how many comparisons are needed to eliminate half of the dataset.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Describe the differences in performance between O(n log n) and O(n²) as n increases. Provide scenarios where one would be preferable over the other.

💡 Hint: Think about sorting algorithms' efficiencies.

Challenge 2 Hard

If an algorithm operates in O(3^n), how does this compare to O(2^n) regarding runtime as n becomes large? Provide an explanation.

💡 Hint: Consider how exponential bases impact runtimes.

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