Practice - Time and Space Complexity
Practice Questions
Test your understanding with targeted questions
What is the time complexity of the CYK algorithm?
💡 Hint: Consider how many nested loops the algorithm uses.
What type of grammar is the CYK algorithm designed to work with?
💡 Hint: Remember the standard form of the grammar mentioned.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the space complexity of the CYK algorithm?
💡 Hint: Think about how you're organizing the stored data.
Does the CYK algorithm work with any context-free grammar?
💡 Hint: Remember the type of grammar required for CYK.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Calculate the time complexity if the length of the string is 8, and the grammar has 15 production rules. Explain each step in your calculation.
💡 Hint: Focus on the relationships of the nested loops.
Discuss the implications of changing the grammar size to 50 production rules. What impact does it have on the CYK algorithm's performance?
💡 Hint: Consider how large grammar sizes influence nested loop computations.
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Reference links
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