What happens when you insert a node into an AVL tree that causes it to become un

₹0.0

Question: What happens when you insert a node into an AVL tree that causes it to become unbalanced?

Options:

Correct Answer: The tree is restructured and rebalanced.

Solution:

When an insertion causes an AVL tree to become unbalanced, rotations are performed to restore balance.

What happens when you insert a node into an AVL tree that causes it to become unbalanced?

What happens when you insert a node into an AVL tree that causes it to become unbalanced?

Step 1: Insert the new node into the AVL tree just like you would in a regular binary search tree.
Step 2: After inserting the node, 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, it means 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(s) to restore balance: single right rotation, single left rotation, double right-left rotation, or double left-right rotation.
Step 7: After performing the rotations, the AVL tree should be balanced again.

AVL Tree Balancing – An AVL tree maintains its balance through rotations after insertions or deletions that cause imbalance.
Rotations – There are four types of rotations (single and double) used to restore balance in an AVL tree.