Part 1 unbalanced binary search trees Add the following numbers, in the order given, to a binary search tree, and draw a diagram of the resulting tree. For this part of the assignment, you need only show the final tree. 36 21 70 20 14 88 96 74 81 16 64 99 19 83 68 93 Label the height of each node in the final tree.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
Section: Chapter Questions
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Exercise 4-random order
Add the following numbers, in the specified order, to a balanced BST.
63
16
27
69
51
45 83
28
52
12 95
85
73
24
21
33
Transcribed Image Text:Exercise 4-random order Add the following numbers, in the specified order, to a balanced BST. 63 16 27 69 51 45 83 28 52 12 95 85 73 24 21 33
Part 1
unbalanced binary search trees
Add the following numbers, in the order given, to a binary search tree, and draw a diagram of the
resulting tree. For this part of the assignment, you need only show the final tree.
36
21
70
20
14
88
96
81
19
83 68 93
64 99
Label the height of each node in the final tree.
16
Part 2
balanced binary search trees
In this part of the assignment, you will draw four AVL trees, balancing them as you add items.
Every time you need rebalance the tree, you must label it to show
• which of the 4 cases it is (right/right, right/left, left/right, or left/left),
• which rotations (left or right) are performed.
74
If a single rebalancing operation requires two rotations, you may either show the end result after both
rotations, or show both rotations separately.
Every time a tree is rebalanced, you should draw the resulting tree in black, and draw the newly-added
nodes (up to the next rebalancing) in a different color. The last section of this assignment shows an
example of what I'm looking for.
Note, however, that this does not tell you which case each rebalance operation was, nor which rotations
were performed. It just shows the end product.
Exercise 1-ascending order
Add the numbers 1 to 12 to a balanced BST in ascending order.
Exercise 2 - descending order
Add the numbers 1 to 12 to a balanced BST in descending order.
Exercise 3-random order
Add the numbers from Part 1 of this assignment to a balanced BST in the order given.
Transcribed Image Text:Part 1 unbalanced binary search trees Add the following numbers, in the order given, to a binary search tree, and draw a diagram of the resulting tree. For this part of the assignment, you need only show the final tree. 36 21 70 20 14 88 96 81 19 83 68 93 64 99 Label the height of each node in the final tree. 16 Part 2 balanced binary search trees In this part of the assignment, you will draw four AVL trees, balancing them as you add items. Every time you need rebalance the tree, you must label it to show • which of the 4 cases it is (right/right, right/left, left/right, or left/left), • which rotations (left or right) are performed. 74 If a single rebalancing operation requires two rotations, you may either show the end result after both rotations, or show both rotations separately. Every time a tree is rebalanced, you should draw the resulting tree in black, and draw the newly-added nodes (up to the next rebalancing) in a different color. The last section of this assignment shows an example of what I'm looking for. Note, however, that this does not tell you which case each rebalance operation was, nor which rotations were performed. It just shows the end product. Exercise 1-ascending order Add the numbers 1 to 12 to a balanced BST in ascending order. Exercise 2 - descending order Add the numbers 1 to 12 to a balanced BST in descending order. Exercise 3-random order Add the numbers from Part 1 of this assignment to a balanced BST in the order given.
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