What happens when an AVL tree becomes unbalanced after an insertion?

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Question: What happens when an AVL tree becomes unbalanced after an insertion?

Options:

Correct Answer: It is rotated to restore balance.

Solution:

When an AVL tree becomes unbalanced after an insertion, rotations (single or double) are performed to restore balance.

What happens when an AVL tree becomes unbalanced after an insertion?

What happens when an AVL tree becomes unbalanced after an insertion?

Step 1: Insert the new node into the AVL tree as you would in a regular binary search tree.
Step 2: After the insertion, check the balance factor of each node starting from the newly inserted node up to the root.
Step 3: The balance factor is calculated as the height of the left subtree minus the height of the right subtree.
Step 4: If the balance factor of any node is greater than 1 or less than -1, the tree is unbalanced.
Step 5: Determine the type of imbalance (Left-Left, Left-Right, Right-Right, Right-Left) based on the balance factors of the affected nodes.
Step 6: Perform the appropriate rotation (single or double) to restore balance to the AVL tree.

AVL Tree Balancing – An AVL tree maintains its balance through rotations after insertions or deletions that cause imbalance.
Rotations – Single and double rotations are techniques used to restore balance in an AVL tree.