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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
List the valid sequences for k=1.
💡 Hint: Think about what starts and ends.
Question 2
Easy
What is the count of valid sequences for k=2?
💡 Hint: Consider the sequence length.
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 recurrence relation derived for s(k)?
💡 Hint: Recall how we reduce the structure.
Question 2
Is the following statement true? 'For k=2, s(2) = 0.'
💡 Hint: What is the only sequence that starts and ends with 1 and 2?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Derive the relation for s(k) for k=5 using the recurrence and initial conditions established.
💡 Hint: Start from already known values.
Question 2
Explore how altering the rules for valid sequences changes the recurrence relation established.
💡 Hint: What new rules would you propose?
Challenge and get performance evaluation