20.2.2 - Recurrence Equation
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Practice Questions
Test your understanding with targeted questions
List all valid parenthesizations for n = 1 (two numbers).
💡 Hint: Think about the basic requirement for two numbers.
What is C(2)?
💡 Hint: Use the formula C(n) for small n values.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for C(n)?
💡 Hint: Think about how smaller instances contribute to the current one.
True or False: The nth Catalan number represents valid parentheses strings.
💡 Hint: Reflect on previous discussions about counting parenthetical arrangements.
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Challenge Problems
Push your limits with advanced challenges
How many valid combinations exist for n = 5 using the recurrence relation?
💡 Hint: Break it down using smaller known values.
Prove that C(n) corresponds to valid pairs of parentheses using an example.
💡 Hint: Construct examples for small n values to illustrate.
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