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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### 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.
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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