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If we want to delete a node with two children in a BST, which node can replace it?

Question

If we want to delete a node with two children in a BST, which node can replace it?

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Solution

In a Binary Search Tree (BST), if we want to delete a node that has two children, we can replace it with either:

  1. In-order Predecessor: This is the largest node in the left subtree of the node to be deleted. It will always be less than the node itself and will have at most one child (the right child).

  2. In-order Successor: This is the smallest node in the right subtree of the node to be deleted. It will always be greater than the node itself and will also have at most one child (the left child).

Both approaches maintain the properties of the BST after deletion. Choosing between the two typically depends on the specific use case or implementation preferences.

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