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How do you perform a left rotation on a node in an AVL tree?
Practice Questions
Q1
How do you perform a left rotation on a node in an AVL tree?
Make the right child the new root of the subtree
Make the left child the new root of the subtree
Swap the node with its parent
No rotation is needed
Questions & Step-by-Step Solutions
How do you perform a left rotation on a node in an AVL tree?
Steps
Concepts
Step 1: Identify the node that you want to perform the left rotation on. This node will be called 'X'.
Step 2: Identify the right child of node 'X'. This child will be called 'Y'.
Step 3: Make 'Y' the new root of the subtree. This means 'Y' will take the place of 'X'.
Step 4: Move the left child of 'Y' (if it exists) to be the right child of 'X'.
Step 5: Set 'X' as the left child of 'Y'.
Step 6: Update any parent pointers if necessary to maintain the structure of the AVL tree.
AVL Tree Rotations
– Understanding how to perform rotations (left and right) to maintain balance in AVL trees.
Tree Structure Manipulation
– Knowledge of how to adjust parent-child relationships in a binary tree.
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