Practice Categories Of Bad Strings (16.2.2) - Valid Sequences Analysis
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Categories of Bad Strings

Practice - Categories of Bad Strings

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a bad string?

💡 Hint: Think about what sequences you would want to exclude.

Question 2 Easy

How many valid strings of length 2 exist?

💡 Hint: List all the possible strings of length 2.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the characteristic of a bad string?

Contains '000'
Does not contain '000'
Has mixed characters

💡 Hint: Remember the definition from class.

Question 2

True or False: All strings of length 3 contain a valid configuration based on our recurrence relation.

True
False

💡 Hint: Think about examples of string patterns.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate and prove \( S(6) \) using previous calculated values.

💡 Hint: Refer back to your established pattern and apply modified counts.

Challenge 2 Hard

Find a pattern by plotting values of \( S(n) \) against \( n \), and deduce future terms.

💡 Hint: What do the numbers suggest?

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Reference links

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