What is the time complexity for deleting an element from an AVL tree?

What is the time complexity for deleting an element from 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 deleting an element from a binary search tree usually takes O(h) time, where h is the height of the tree.
Step 3: In an AVL tree, the height is always kept to O(log n) because it is balanced.
Step 4: When you delete an element, you first find the element, which takes O(log n) time.
Step 5: After deleting the element, you may need to rebalance the tree to maintain the AVL property.
Step 6: Rebalancing also takes O(log n) time because it involves checking the heights of the nodes and performing rotations if necessary.
Step 7: Combine the time for finding the element and the time for rebalancing, which both take O(log n).
Step 8: Conclude that the total time complexity for deleting an element from an AVL tree is O(log n).

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