What happens when you insert a node into an AVL tree that causes it to become un
Practice Questions
Q1
What happens when you insert a node into an AVL tree that causes it to become unbalanced?
The tree is deleted.
The tree is restructured and rebalanced.
The node is ignored.
The tree becomes a binary tree.
Questions & Step-by-Step Solutions
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.
