Which of the following scenarios would require a right rotation in an AVL tree?
Practice Questions
Q1
Which of the following scenarios would require a right rotation in an AVL tree?
Left-Left case
Right-Right case
Left-Right case
Right-Left case
Questions & Step-by-Step Solutions
Which of the following scenarios would require a right rotation in an AVL tree?
Step 1: Understand what an AVL tree is. It is a type of binary search tree that maintains balance by ensuring the heights of the left and right subtrees of any node differ by at most one.
Step 2: Learn about tree rotations. Rotations are operations that help maintain the balance of the AVL tree after insertions or deletions.
Step 3: Identify the Left-Left case. This occurs when a new node is added to the left subtree of a node's left child, causing the tree to become unbalanced.
Step 4: Recognize when a right rotation is needed. In the Left-Left case, the tree is unbalanced, and a right rotation around the unbalanced node (the parent of the left child) is required to restore balance.
Step 5: Visualize the rotation. A right rotation will move the left child up to take the place of the unbalanced node, and the unbalanced node will become the right child of the new root.
