Write a simple C++ program to simulate the deletion algorithm. ### DeletionThe following is pseudo-code for deletion.#### Deletion in AVL Tree```pseudoif (empty subtree){ set success false return} // end ifif (deleteKey < root){ leftSubtree = AVLDelete (left subtree, deleteKey, success) if (tree shorter) { leftSubtree = deleteRightBalance (root) } // end if}elseif (deleteKey > root){ rightSubtree = AVLDelete (root->right, deleteKey, success) if (tree shorter) { root = deleteLeftBalance (root) } // end elseif}else{ delete node;} // end else```Explanation of Steps:1. **Check for Empty Subtree:** If the subtree is empty, the deletion is unsuccessful and the function returns.2. **Key Comparison:** Compare the `deleteKey` with the `root` key. - **If `deleteKey` is less than `root`:** - Recursively call `AVLDelete` on the left subtree with the `deleteKey`. - Check if the tree height becomes shorter. - If so, apply the `deleteRightBalance` on the `root`. - **If `deleteKey` is greater than `root`:** - Recursively call `AVLDelete` on the right subtree with the `deleteKey`. - Check if the tree height becomes shorter. - If so, apply the `deleteLeftBalance` on the `root`.3. **Key Found:** - If the `deleteKey` matches the `root` key, delete the node.This pseudo-code ensures that the AVL tree maintains its balanced property after the deletion operation.

c++ program to deletion in AVL Tree

Deletion The following is pseudo-code for deletion. Deletion in AVL Tree if (empty subtree) { set success false return } // end if if (deleteKey < root) { leftSubtree=AVLDelete (left subtree, deleteKey, success) if (tree shorter) { leftSubtree deleteRightBalance (root) } // end if elseif (deleteKey > root) { rightSubtree=AVLDelete (root->right, deleteKey, success) if (tree shorter) delete LeftBalance (root) root }// end elseif } else { delete node; } // end else

Deletion The following is pseudo-code for deletion. Deletion in AVL Tree if (empty subtree) { set success false return } // end if if (deleteKey < root) { leftSubtree=AVLDelete (left subtree, deleteKey, success) if (tree shorter) { leftSubtree deleteRightBalance (root) } // end if elseif (deleteKey > root) { rightSubtree=AVLDelete (root->right, deleteKey, success) if (tree shorter) delete LeftBalance (root) root }// end elseif } else { delete node; } // end else

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Write a simple C++ program to simulate the deletion algorithm.

### Deletion

The following is pseudo-code for deletion.

#### Deletion in AVL Tree

```pseudo
if (empty subtree)
{
set success false
return
} // end if

if (deleteKey < root)
{
leftSubtree = AVLDelete (left subtree, deleteKey, success)
if (tree shorter)
{
leftSubtree = deleteRightBalance (root)
} // end if
}
elseif (deleteKey > root)
{
rightSubtree = AVLDelete (root->right, deleteKey, success)
if (tree shorter)
{
root = deleteLeftBalance (root)
} // end elseif
}
else
{
delete node;
} // end else
```

Explanation of Steps:

1. **Check for Empty Subtree:**
If the subtree is empty, the deletion is unsuccessful and the function returns.

2. **Key Comparison:**
Compare the `deleteKey` with the `root` key.

- **If `deleteKey` is less than `root`:**
- Recursively call `AVLDelete` on the left subtree with the `deleteKey`.
- Check if the tree height becomes shorter.
- If so, apply the `deleteRightBalance` on the `root`.

- **If `deleteKey` is greater than `root`:**
- Recursively call `AVLDelete` on the right subtree with the `deleteKey`.
- Check if the tree height becomes shorter.
- If so, apply the `deleteLeftBalance` on the `root`.

3. **Key Found:**
- If the `deleteKey` matches the `root` key, delete the node.

This pseudo-code ensures that the AVL tree maintains its balanced property after the deletion operation.

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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