Question 2.Given the following Binary Search Tree (BST):191011123i. Apply breadth-first search and depth-first search to the given tree starting from node '8' and showthe order of exploration.ii. Draw the resulting binary search tree after 8 is removed. (Replace the node with an appropriate valuefrom the node's right subtree)iii. Now convert the tree that results from ito a valid AVL tree. Draw a new tree for each rotation thatoccurs when balancing the BST from ii.

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Question 2. Given the following Binary Search Tree (BST): 5 11 12 i. Apply breadth-first search and depth-first search to the given tree starting from node '8' and show the order of exploration. ii. Draw the resulting from the node's right subtree) iii. Now convert the tree that results from ito a valid AVL tree. Draw a new tree for each rotation that occurs when balancing the BST from ii. search tre after 8 is removed. (Replace the node with an appropriate value

Question 2. Given the following Binary Search Tree (BST): 5 11 12 i. Apply breadth-first search and depth-first search to the given tree starting from node '8' and show the order of exploration. ii. Draw the resulting from the node's right subtree) iii. Now convert the tree that results from ito a valid AVL tree. Draw a new tree for each rotation that occurs when balancing the BST from ii. search tre after 8 is removed. (Replace the node with an appropriate value

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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Q1. Consider the following sequence of numbers: 15, 20, 24, 10, 13, 7, 30, 36, and 25. Insert these numbers one by one into an initially empty red-black tree, and illustrate the tree after each insertion. rotation is needed, present the status before and after the rotation and indicate which rotation is applied. For each node, indicate the color for each node like 15(RED) or 30(BLACK), Ensure that the tree maintains its red-black properties throughout the process. Q2. Given the following sets: A = {2, 4, 6, 8, 10}, B = {1, 3, 5, 7, 9}, C = {1, 2, 3, 4, 5}, and D = {5, 6, 7, 8, 9). Calculate the following set operations and provide the resulting sets: A U B, An C, B n D, (A U B) - C, and (C n D) A (AN B).
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