Practice - Polynomial Time Growth (The Definition of 'Efficient')
Practice Questions
Test your understanding with targeted questions
Define polynomial time.
💡 Hint: Think about the relationship between time and input size.
What is class P?
💡 Hint: Consider the type of problems defined by their time complexity.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does class P represent?
💡 Hint: Focus on the notion of efficiency in problem-solving.
True or False: All problems in class P are also in NP.
💡 Hint: Consider the relationship between finding and verifying solutions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider an algorithm for finding the maximum element in an array. If the array has n elements, write an expression for its time complexity and discuss whether it belongs to class P.
💡 Hint: Focus on the number of operations concerning the size of the input.
Design a polynomial-time algorithm to solve a specific problem in your chosen domain (like scheduling, sorting, etc.) and explain how it adheres to the P criteria.
💡 Hint: Think about the characteristics of polynomial time and relate them to your chosen algorithm.
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Reference links
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