In an AVL tree, what must be done after an insertion if the tree becomes unbalan
Practice Questions
Q1
In an AVL tree, what must be done after an insertion if the tree becomes unbalanced?
Perform a single rotation
Perform a double rotation
Rebuild the entire tree
Nothing is needed
Questions & Step-by-Step Solutions
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.
