What is the worst-case time complexity for deleting a node in an AVL tree?

What is the worst-case time complexity for deleting a node in an AVL tree?

Step 1: Understand what an AVL tree is. It is a type of binary search tree that keeps itself balanced.
Step 2: Know that when you delete a node from an AVL tree, you may need to perform some rotations to maintain the balance.
Step 3: Recognize that finding the node to delete takes O(log n) time because the tree is balanced.
Step 4: After deleting the node, you may need to check and restore the balance of the tree, which also takes O(log n) time.
Step 5: Combine the time for finding the node and restoring balance. Both steps take O(log n), so the total is O(log n).
Step 6: Conclude that the worst-case time complexity for deleting a node in an AVL tree is O(log n).

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