write an alogrithm to delet a node from a binary search tree a proper format
Question
write an alogrithm to delet a node from a binary search tree a proper format
Solution
Sure, here is a simple algorithm to delete a node from a binary search tree:
- Start at the root node as the current node.
- If the current node is null, return because the key to be deleted is not present in the tree.
- If the key to be deleted is less than the current node's key, set the left child of the current node as the current node and go back to step 2.
- If the key to be deleted is greater than the current node's key, set the right child of the current node as the current node and go back to step 2.
- If the key to be deleted is equal to the current node's key, proceed to step 6.
- If the current node has no children, simply remove the node.
- If the current node has one child, replace the node with its child.
- If the current node has two children, find the in-order successor of the node (the node with the smallest key that is larger than the current node's key, which is the leftmost node in the right subtree). Replace the current node's key with the key of the in-order successor. Then, delete the in-order successor.
- If the tree had only one node, set the root to null.
- End.
This algorithm ensures that the binary search tree property is maintained after the deletion. The time complexity of this algorithm is O(h), where h is the height of the tree.
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