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How do you perform a left rotation in an AVL tree?

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Question: How do you perform a left rotation in an AVL tree?

Options:

  1. By moving the right child up and the current node down.
  2. By moving the left child up and the current node down.
  3. By swapping the current node with its parent.
  4. By reversing the tree structure.

Correct Answer: By moving the right child up and the current node down.

Solution:

A left rotation involves moving the right child of a node up to take its place, while the current node becomes the left child of the new root.

How do you perform a left rotation in an AVL tree?

Practice Questions

Q1
How do you perform a left rotation in an AVL tree?
  1. By moving the right child up and the current node down.
  2. By moving the left child up and the current node down.
  3. By swapping the current node with its parent.
  4. By reversing the tree structure.

Questions & Step-by-Step Solutions

How do you perform a left rotation in an AVL tree?
  • Step 1: Identify the node (let's call it 'A') that needs to be rotated left. This node will have a right child (let's call it 'B').
  • Step 2: Make 'B' the new root of the subtree. 'B' will take the place of 'A'.
  • Step 3: Move 'A' to be the left child of 'B'.
  • Step 4: If 'B' has a left child (let's call it 'C'), make 'C' the right child of 'A'.
  • Step 5: Update any necessary pointers to maintain the structure of the AVL tree.
  • AVL Tree Rotations – Understanding how to maintain balance in an AVL tree through rotations.
  • Tree Structure Manipulation – Knowledge of how nodes are repositioned during rotations.
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