Practice - Introduction to Complexity Theory: How Hard is a Problem Practically?
Practice Questions
Test your understanding with targeted questions
What does time complexity measure?
💡 Hint: Think about how time grows with input.
What is Big-O notation used for?
💡 Hint: It indicates how the runtime behaves as input increases.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following complexities is considered constant time?
💡 Hint: What does constant time mean in relation to input?
True or False: All problems in P are also in NP.
💡 Hint: Think about how polynomial solutions can also verify.
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Challenge Problems
Push your limits with advanced challenges
Discuss an example of a real-world application that illustrates the significance of class P and class NP, analyzing an NP-complete problem in detail.
💡 Hint: Think about how a company could reduce operation costs and time.
Design an algorithm that offers a polynomial-time solution for a problem previously considered NP-complete and explain the approach.
💡 Hint: Explore strategies that narrow possibilities.
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Reference links
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