1. AVL Tree basics (a) Draw the AVL tree after performing each of the following operations consecutively on an initially empty binary search tree: insert 8, insert 6, insert 12, insert 3, insert 10, insert 9, delete 12, delete 8, insert 7, insert 8. (b) If you delete an item from an AVL tree and then insert it back into the tree, will you always get back the original AVL tree? Justify your answer.

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
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1. AVL Tree basics
(a) Draw the AVL tree after performing each of the following operations
consecutively on an initially empty binary search tree: insert 8, insert 6,
insert 12, insert 3, insert 10, insert 9, delete 12, delete 8, insert 7, insert 8.
(b)If you delete an item from an AVL tree and then insert it back into the tree,
will you always get back the original AVL tree? Justify your answer.
Transcribed Image Text:1. AVL Tree basics (a) Draw the AVL tree after performing each of the following operations consecutively on an initially empty binary search tree: insert 8, insert 6, insert 12, insert 3, insert 10, insert 9, delete 12, delete 8, insert 7, insert 8. (b)If you delete an item from an AVL tree and then insert it back into the tree, will you always get back the original AVL tree? Justify your answer.
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