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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

When we want to delete a node with two children in a Binary Search Tree (BST), we have two options for a replacement:

  1. The in-order predecessor (the maximum value in the left subtree): This is the node with the highest value that is still less than the node to be deleted.

  2. The in-order successor (the minimum value in the right subtree): This is the node with the lowest value that is still greater than the node to be deleted.

These nodes can replace the deleted node while maintaining the Binary Search Tree property.

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