Consider the following AVL tree: 4 12 13- 16 42 ____ 19 44 77 71 61 99 Write the contents of the binary tree in a preorder traversal after removing each of the following elements: 13, 42, 99 Include a comma and space between each pair of numbers written (the same format as the input listed above is in).
Consider the following AVL tree: 4 12 13- 16 42 ____ 19 44 77 71 61 99 Write the contents of the binary tree in a preorder traversal after removing each of the following elements: 13, 42, 99 Include a comma and space between each pair of numbers written (the same format as the input listed above is in).
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
Transcribed Image Text:### AVL Tree Operations: Removal and Preorder Traversal
#### Consider the following AVL tree:
```
42
/ \
13 77
/ \ / \
12 16 61 99
/ / \
4 19 44
```
#### Task:
Write the contents of the binary tree in a preorder traversal after removing each of the following elements:
- 13
- 42
- 99
Include a comma and space between each pair of numbers written (the same format as the input listed above is in).
#### Procedure:
**1. Removal of 13:**
- When 13 is removed, the AVL tree undergoes rebalancing to maintain its properties.
**2. Removal of 42:**
- When 42 is removed, the AVL tree undergoes rebalancing to maintain its properties.
**3. Removal of 99:**
- When 99 is removed, the AVL tree undergoes rebalancing to maintain its properties.
#### Preorder Traversal:
Preorder traversal visits nodes in the order: Root, Left Subtree, Right Subtree.
Ensure to re-evaluate the AVL tree structure after each removal and perform the preorder traversal for each scenario.
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