Which balancing operation is performed when an AVL tree becomes unbalanced after
Practice Questions
Q1
Which balancing operation is performed when an AVL tree becomes unbalanced after an insertion?
Left Rotation
Right Rotation
Left-Right Rotation
Right-Left Rotation
Questions & Step-by-Step Solutions
Which balancing operation is performed when an AVL tree becomes unbalanced after an insertion?
Step 1: Understand that an AVL tree is a type of binary search tree that maintains balance after insertions.
Step 2: After inserting a new node, check the balance factor of the tree. The balance factor is the height difference between the left and right subtrees.
Step 3: If the balance factor is greater than 1 or less than -1, the tree is unbalanced.
Step 4: Determine the type of imbalance based on where the insertion occurred:
Step 5: If the imbalance is in the left subtree of the left child, perform a Right Rotation.
Step 6: If the imbalance is in the right subtree of the right child, perform a Left Rotation.
Step 7: If the imbalance is in the right subtree of the left child, perform a Left-Right Rotation.
Step 8: If the imbalance is in the left subtree of the right child, perform a Right-Left Rotation.
Step 9: After performing the appropriate rotation, the AVL tree will be balanced again.
