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
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Use the given AVL tree to answer each of the following questions:
37
24
42
(32
40
(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 ty.pe 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)
ALT.D N E1 O 0M.
Transcribed Image Text:Use the given AVL tree to answer each of the following questions: 37 24 42 (32 40 (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 ty.pe 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) ALT.D N E1 O 0M.
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