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Consider the following statements:P: If the root node of a BST is deleted, it can be replaced by inorder predecessor. Q: If the root node of a BST is deleted, it can be replaced by preorder successor. Which of the following is/are CORRECT?

Question

Consider the following statements:P: If the root node of a BST is deleted, it can be replaced by inorder predecessor. Q: If the root node of a BST is deleted, it can be replaced by preorder successor. Which of the following is/are CORRECT?

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Solution

The statement P is correct. In a Binary Search Tree (BST), if the root node is deleted, it can indeed be replaced by its inorder predecessor. The inorder predecessor is the node with the highest value that is still lower than the root node. This is because in a BST, all nodes to the left of the root node are less than the root, and all nodes to the right are greater. Therefore, the inorder predecessor would maintain the BST property.

The statement Q is incorrect. The preorder successor of a node in a BST is not necessarily a valid replacement for the root node if it is deleted. The preorder successor of a node is the node's left child, and replacing the root node with its left child would not maintain the BST property if the root node also had a right child. Therefore, the root node of a BST cannot be replaced by its preorder successor while maintaining the BST property.

This problem has been solved

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