Which of the following operations can cause a violation of the AVL tree property

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Question: Which of the following operations can cause a violation of the AVL tree property?

Options:

Correct Answer: Both insertion and deletion.

Solution:

Both insertion and deletion can cause the AVL tree to become unbalanced, requiring rebalancing operations.

Which of the following operations can cause a violation of the AVL tree property?

Which of the following operations can cause a violation of the AVL tree property?

Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains a balance condition to ensure efficient operations.
Step 2: Know the AVL tree property. The property states that for any node in the tree, the heights of the left and right subtrees can differ by at most one.
Step 3: Learn about insertion in an AVL tree. When you insert a new node, it may cause the tree to become unbalanced if the heights of the subtrees differ by more than one.
Step 4: Understand deletion in an AVL tree. When you delete a node, it can also cause the tree to become unbalanced for the same reason as insertion.
Step 5: Recognize that both operations (insertion and deletion) can lead to a violation of the AVL tree property, requiring rebalancing to restore the property.

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