When inserting a node into an AVL tree, what must be checked after insertion?

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Question: When inserting a node into an AVL tree, what must be checked after insertion?

Options:

Correct Answer: If the tree remains balanced.

Solution:

After inserting a node into an AVL tree, it is crucial to check if the tree remains balanced and perform rotations if necessary.

When inserting a node into an AVL tree, what must be checked after insertion?

When inserting a node into an AVL tree, what must be checked after insertion?

Step 1: Insert the new node into the AVL tree following the standard binary search tree insertion rules.
Step 2: After insertion, check the balance factor of each node starting from the newly inserted node up to the root of the tree.
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.

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