Practice Time and Space Complexity - 5.5.4 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.5.4 - Time and Space Complexity

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the time complexity of the CYK algorithm?

πŸ’‘ Hint: Consider how many nested loops the algorithm uses.

Question 2

Easy

What type of grammar is the CYK algorithm designed to work with?

πŸ’‘ Hint: Remember the standard form of the grammar mentioned.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the space complexity of the CYK algorithm?

  • O(n)
  • O(nΒ²)
  • O(nΒ³)

πŸ’‘ Hint: Think about how you're organizing the stored data.

Question 2

Does the CYK algorithm work with any context-free grammar?

  • True
  • False

πŸ’‘ Hint: Remember the type of grammar required for CYK.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

πŸ’‘ Hint: Focus on the relationships of the nested loops.

Question 2

Discuss the implications of changing the grammar size to 50 production rules. What impact does it have on the CYK algorithm's performance?

πŸ’‘ Hint: Consider how large grammar sizes influence nested loop computations.

Challenge and get performance evaluation