In this assignment we will explore a specific way to delete the root node of the Binary Search Tree (BST) while maintaining the Binary Search Tree (BST) property after deletion. Your implementation will be as stated below:[1] Delete the root node value of the BST and replace the root value with the appropriate value of the existing BST .[2] Perform the BST status check by doing an In-Order Traversal of the BST such that even after deletion the BST is maintained.

This implementation assumes that the values in the BST are unique.

Sure, I can help you with that. Here's an implementation of the algorithm you described in Python:

```

class TreeNode:

   def __init__(self, val=0, left=None, right=None):

       self.val = val

       self.left = left

       self.right = right

def inorder_traversal(root):

   if root:

       inorder_traversal(root.left)

       print(root.val)

       inorder_traversal(root.right)

def delete_root(root):

   # case 1: empty tree

   if not root:

       return None

   # case 2: root has no children

   if not root.left and not root.right:

       return None

   # case 3: root has only one child

   if not root.left:

       return root.right

   if not root.right:

       return root.left

   # case 4: root has two children

   parent = root

   successor = root.right

   while successor.left:

       parent = successor

       successor = successor.left

   if parent != root:

       parent.left = successor.right

       successor.right = root.right

   successor.left = root.left

   return successor

# example usage

root = TreeNode(5)

root.left = TreeNode(3)

root.right = TreeNode(7)

root.left.left = TreeNode(2)

root.left.right = TreeNode(4)

root.right.left = TreeNode(6)

root.right.right = TreeNode(8)

print("Before deletion:")

inorder_traversal(root)

root = delete_root(root)

print("After deletion:")

inorder_traversal(root)

```

This implementation assumes that the BST is a binary tree where each node has at most two children, and that the BST is implemented using the `TreeNode` class. The `delete_root` function takes a `TreeNode` object as input, representing the root of the BST to be deleted, and returns the new root of the BST after deletion. The `inorder_traversal` function takes a `TreeNode` object as input and performs an in-order traversal of the tree, printing the values of the nodes in ascending order.

The `delete_root` function first checks for the four possible cases of deleting the root node. If the tree is empty, it simply returns `None`. If the root node has no children, it also returns `None`.

If the root node has only one child, it returns that child node as the new root. If the root node has two children, it finds the in-order successor of the root node (i.e., the node with the smallest value in the right subtree) and replaces the root node with the successor node while maintaining the BST property.

Note that this implementation assumes that the values in the BST are unique. If the values are not unique, the `delete_root` function may need to be modified to handle cases where there are multiple nodes with the same value as the root node.

Learn more about  BST

brainly.com/question/31199835

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