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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a full binary tree?
💡 Hint: Think about the structure of the nodes.
Question 2
Easy
Count the number of full binary trees for n=1.
💡 Hint: Draw the tree structure.
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 defining property of a full binary tree?
- Every node has 1 child
- Every node has 0 or 2 children
- Every node has at least 2 children
💡 Hint: Think about the definition of internal nodes.
Question 2
True or False: The number of full binary trees can be counted using Catalan numbers.
- True
- False
💡 Hint: Consider the connection we discussed recently.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a full binary tree with n=4 and illustrate its distinct structures.
💡 Hint: Try to structure your drawing step by step, ensuring every internal node follows the rules.
Question 2
Prove mathematically that the number of distinct full binary trees corresponds to the Catalan number.
💡 Hint: You might use induction or combinatorial principles for demonstration!
Challenge and get performance evaluation