In an AVL tree, what must be done after an insertion if the tree becomes unbalan

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Question: In an AVL tree, what must be done after an insertion if the tree becomes unbalanced?

Options:

Correct Answer: Perform a double rotation

Solution:

After an insertion, if the AVL tree becomes unbalanced, a double rotation may be required to restore balance.

In an AVL tree, what must be done after an insertion if the tree becomes unbalanced?

In an AVL tree, what must be done after an insertion if the tree becomes unbalanced?

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: If any node has a balance factor of +2 or -2, it means the tree is unbalanced.
Step 4: Determine the type of imbalance (Left-Left, Left-Right, Right-Right, or Right-Left) based on the balance factors of the affected nodes.
Step 5: Perform the appropriate rotation(s) to restore balance: single rotation for Left-Left or Right-Right, and double rotation for Left-Right or Right-Left.

AVL Tree Balancing – An AVL tree is a self-balancing binary search tree where the difference in heights between the left and right subtrees cannot be more than one. After an insertion, if this condition is violated, rotations (single or double) are performed to restore balance.
Rotations in AVL Trees – Rotations are operations that rearrange the nodes in an AVL tree to maintain its balanced property. There are four types of rotations: single right, single left, double right-left, and double left-right.