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1. Short answers а. What is an internal node of a tree? b. What is an external node (leaf ) of a tree? A full binary tree T has 15 nodes in total. What is the height of the binary tree? C. 2. Given a tree T1, answer following questions A C B D E F H J K M Q R
Remember, in our definition, the height of a binary tree means maximum number of nodes from the root to a leaf. a) In a perfect binary tree of size n, what is the tree's exact height? Justify your answer. b) In a degenerate binary tree of size n, what is the tree's exact height? Justify your answer. c) What is the maximum height for a balanced binary tree of size 7? Justify your answer
If the height of the complete binary tree is 6 then the number of nodes after level 3 is Select one: O a. 96 b. 112 О с. 64 O d. 127
kl 00 C no m n d Answer the following questions for the tree shown above. Is the tree balanced? (answer y for yes, n for no)
Answer the following questions with adequete proofs:
Explain what a binary tree is and how it differs from other tree structures.
1.What are the different methods for traversing a binary tree and what is the difference between them? 2.How do these traversal algorithms help in solving problems related to binary trees? 3.Provide examples of problems that can be solved using each traversal method.
12 What's true about binary trees (2.05) O A The degree of every node in a binary tree is 2 OB There is at least one node in a binary tree whose degree is equal to 2 OC The degree of every node in a binary tree can be less than 2 OD A binary tree contains at least one node 13 A complete binary tree contains 1001 nodes. What is the number of leaf nodes (2.05) O A 501 OB 505 OC 500 O D 250
Using python programming language. Design a function to check if a binary tree is balanced. A balanced tree is defined to be a tree such that the heights of the two subtrees of any node never differ by more than one.
What is the max and min number of levels of a tree with 129 nodes?
Consider the following binary search tree: 5 10 17 20 30 If the value 9 were inserted into this tree, where in the tree would it be inserted? ○ It would be the left child of the node containing 17 It would be the right child of the node containing 17 It would be the right child of the node containing 5 It would be the new left child of the node containing 10