Use the given AVL tree to answer each of the following questions: 32 120 (a) Which is the deepest unbalanced node after inserting key 5, but before re-balancing, and what is its balance factor? (b) After the insertion, perform all the necessary rotations required to re-balance the tree, and after each rotation, state the type of rotation done and list the keys of the resulting tree in the form: After Left/Right rotation: e1, e2, e3, ., en. (breadth-first order) .....

Use the given AVL tree to answer each of the following questions: 32 120 (a) Which is the deepest unbalanced node after inserting key 5, but before re-balancing, and what is its balance factor? (b) After the insertion, perform all the necessary rotations required to re-balance the tree, and after each rotation, state the type of rotation done and list the keys of the resulting tree in the form: After Left/Right rotation: e1, e2, e3, ., en. (breadth-first order) .....

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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Similar questions

Use the given AVL tree to answer each of the following questions: (a) Which is the deepest unbalanced node after inserting key 5, but before re-balancing, and what is its balance factor? (b) After the insertion, perform all the necessary rotations required to re-balance the tree, and after each rotation, state the type of rotation done and list the keys of the resulting tree in the form: After Left/Right rotation: e1, e2, e3, ...., en. (breadth-first order)
After the following 3 values: 40, 30, 35 are inserted into an AVL tree, what action is needed to restore the AVL tree? Question 22 options: double rotation, with the right rotation at 30, left rotation at node 40 a single right rotation at node 30 double rotation, with the left rotation at 30, right rotation at node 40 a single left rotation at node 30
Data Structure and Algorithm a) Draw updated AVL tree after deletion of 60? Draw each rotation insert Node 130 after step (a), then insert 140.
After 3 values 30, 20, and 10 are inserted into an empty AVL tree, what action is needed to maintain the AVL tree? Question 21 options: double rotation, with the left rotation at 20, right rotation at node 30 a single rotation to the left at node 30 a single rotation to the right at node 30 double rotation, with the right rotation at 20, left rotation at node 30
Insert the following keys into AVL tree: 50,20,60,10,8,15,32,46,11,48Hint: you must preserve the property of AVL after you insert each element. The property of AVLis a balanced binary tree such that each node has a balance factor in the range of 0,1,-1. Youmust show the balanced factor for each node after you insert a new element.
Remove 5 from the following AVL tree; draw the results:
a) Using the data keys 53, 27, 75, 25, 70, 41, 38, 16, 59, 36, 73, 65, 60, 46, 55, 33, 68, 79, and 48 build a balanced 2 – 3 – 4 tree. Please show all the steps that let to the final tree. b)Delete 38, 70 and the root nodes from your tree in b) above and redraw the new 2 – 3 – 4 tree c) Insert 51, 69 and 80 into you tree in b) above and draw the new 2 – 3 – 4 tree d) Identify and clearly explain how the 2 – 3 – 4 tree structure would be applied in real life.
Create An AVL Tree using insertion sequence as 55,66,77,15,11,33,22,35,25,44,88,99 And Delete From AVL tree for the following elements 9,8,12,15,18
Insert the following key values one by one into an empty AVL tree. Restore tree as needed during the process. After the tree is built, show the post order traversal result in terms of the order of the key values visited. 30 45 65 55 50 52
The following items are inserted into an AVL tree: 1, 2, 3, 8, and 9. How many rotations are performed in total to maintain an AVL tree?
For 2-3 Trees insert 6, 3, 2, 8, 7, 9, 10 in order given into the following trees. Initially, a tree contains only a root node with two values 1 and 4. Show the snapshot of the tree after insertion.
Q5: Create an AVL Tree from 12, 56, 1, 78, 90, 23, 14, 6, 100, 88, 85