c++ Use the picture as starting point. Add the key 45 to the AVL tree structure in figure (i) and describe and show the rotations needed to make the tree balanced.  Describe how the key was added starting with the root node and then the rotations needed going back up to the root node.

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter12: Secondary Storage Management
Section: Chapter Questions
Problem 13VE
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c++

Use the picture as starting point. Add the key 45 to the AVL tree structure in figure (i) and describe and show the rotations needed to make the tree balanced.  Describe how the key was added starting with the root node and then the rotations needed going back up to the root node.

Insert
Insert
Insert
30
40
20
40
30
(a)
(b)
20
Insert
Insert
30
50
60
(d)
Insert
Insert
30
50
80
15
Insert
Insert
Rotate
Rotate
28
50
right
at 30
25
left at
50
20
30
(h)
(1)
Transcribed Image Text:Insert Insert Insert 30 40 20 40 30 (a) (b) 20 Insert Insert 30 50 60 (d) Insert Insert 30 50 80 15 Insert Insert Rotate Rotate 28 50 right at 30 25 left at 50 20 30 (h) (1)
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