Which of the following scenarios would require a right rotation in an AVL tree?

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Question: Which of the following scenarios would require a right rotation in an AVL tree?

Options:

Correct Answer: Left-Left case

Solution:

A right rotation is required in an AVL tree during a Left-Left case, where a node is inserted into the left subtree of the left child.

Which of the following scenarios would require a right rotation in an AVL tree?

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.

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