Which rotation is performed when a node is inserted into the left subtree of the
Practice Questions
Q1
Which rotation is performed when a node is inserted into the left subtree of the left child in an AVL tree?
Right Rotation
Left Rotation
Left-Right Rotation
Right-Left Rotation
Questions & Step-by-Step Solutions
Which rotation is performed when a node is inserted into the left subtree of the left child in an AVL tree?
Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains balance by ensuring the heights of the two child subtrees of any node differ by no more than one.
Step 2: Identify the situation described in the question. A node is inserted into the left subtree of the left child of a node in the AVL tree.
Step 3: Recognize that this situation causes an imbalance in the tree. Specifically, the left subtree becomes taller than the right subtree, leading to a left-left case.
Step 4: Determine the appropriate rotation to fix the imbalance. In a left-left case, a right rotation is performed on the unbalanced node.
Step 5: Conclude that a right rotation is the correct action to restore balance in the AVL tree after the described insertion.
