Practice - Recurrence Relation for Triangulations
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Practice Questions
Test your understanding with targeted questions
What is the initial condition for T(0)?
💡 Hint: Think about the number of ways to form a triangulation when there are no sides.
How many structurally different full binary trees are there with three leaves?
💡 Hint: Consider the arrangements of branches.
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Interactive Quizzes
Quick quizzes to reinforce your learning
How many full binary trees exist with 4 leaves?
💡 Hint: Think about how arrangements can change.
True or False: The 3rd Catalan number is 5.
💡 Hint: Recall the list of Catalan numbers.
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Challenge Problems
Push your limits with advanced challenges
Prove that the number of triangulations of a convex polygon with n sides corresponds to the nth Catalan number.
💡 Hint: Start by showing simple cases and building up.
If a polygon's triangulation patterns were altered, hypothesize how the changes could affect the corresponding Catalan number.
💡 Hint: Think about howpolygonal shapes change the arrangement.
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Reference links
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