B.Consider the following three binary trees.(a)223835312025(b)35213818243739172331326332822838110163439i) Which of these binary trees is an AVL tree? Justify your answer.ii) Insert key "40" into that AVL tree. Show all your steps and how the tree looks like.

A binary search tree which is self balanced and in which the difference of heights of left subtree…

Answered: B. Consider the following three binary…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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i. ii. Using an array-based representation of a binary tree, the following array represents a binary tree. 0 1 2 3 59 39 75 4 48 5 6 70 80 111. Draw the binary tree that is represented by the above array. 7 8 9 10 11 12 13 14 44 68 90 What is the postorder traversal of the binary tree that is created in (i). What is the parent of 72?
The following three are the traversal sequence for preorder, inorder and postorder of a binary tree. 1. 33 27 77 25 55 53 67 43 88 99 II. 99 55 27 33 25 77 88 43 53 67 III. 27 33 55 77 25 99 88 53 43 67 a) Analyse which one is preorder, inorder and postorder. Explain and show your work. b) Based on question 6, build the tree and answer the following questions: 1. What is the node of level 1 left subtree ii. What is the node of level 1 right subtree iii. List all parents with only right leaf iv. List all leaves of the tree
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4. Draw the binary search tree whose root node is the 7th and 8th digit of your id i.e. ID: 2221078842, the root node is 88, and elements are inserted in the following order. 52 75 93 97 105 28 13 11 9 2 10 25 19 54 16 18 95 Print the elements of the tree after deleting nodes 9, 2, 25. Now insert new nodes 22, 100 and print the elements in the tree (postorder). [Just write the main.cpp must use the class included in your final syllabus to solve this problem]
Problem 2 : Consider the following binary search tree: 42 24 57 12 30 44 63 29 36 49 31 Show the resulting tree if you delete the entry with key = 42 from the above tree. You need to describe, step by step, how the resulting tree is generated.
Answer the following Questions: 1) What is the height of the tree ? 2) What is the depth of Node 66 ? 3) What is the path sequence from root to Node 37? 4) How many leaves are present in this tree? 5) What is the degree of Node 42 ?
Node 84 is to be removed from the above BST Tree. The first step is to find the rightmost node of 84.
Can anyone help me with this question? Thankyou! I’ll be sure to leave a thumbs up!
Given the following Binary Search Tree: 8 10 12 14 24 37 38 40 42 51 66 Answer the following Questions: 1) What is the height of the tree? 2) What is the depth of Node 66 ? 3) What is the path sequence from root to Node 37? 4) How many leaves are present in this tree? 5) What is the degree of Node 42 ? 73 81
Problem 1 . Consider the following binary search tree: 26 10 43 38 47 15 12 25 31 40 Show the resulting tree if you add the entry with key = 13 to the above tree. You need to describe, step by step, how the resulting tree is generated.
For the following tree, give the postorder traversal 1 4 6 7 Select one: a. 4257631 O b. 2465371 c. 2456371 O d. 7654321 3. 2.
Problem 3. Binary Tree Q4. Given the binary tree on the picture, match the following questions with the answers. If you cannot see the picture, please look at the pdf file BinaryTree.pdf posted under Files/Final. 1 3 4 5 What is the root? 6 7 8 How many nodes in the tree? How many leaves in the tree? 12 9 What is the height of the tree? 15 10 13 17 [Choose ] [Choose ] [Choose ] [Choose ] > > <

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B. Consider the following three binary trees. (a) 22 38 35 31 20 25 (b) 35 21 38 18 24 37 39 17 23 31 32 63 32 82 28 38 110 16 34 39 i) Which of these binary trees is an AVL tree? Justify your answer. ii) Insert key "40" into that AVL tree. Show all your steps and how the tree looks like.