In an AVL tree, what operation is performed when a node becomes unbalanced after

Practice Questions

Q1
In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?
  1. Rotation
  2. Traversal
  3. Deletion
  4. Rebalancing

Questions & Step-by-Step Solutions

In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?
  • Step 1: Understand that an AVL tree is a type of binary search tree that maintains balance.
  • Step 2: After inserting a new node, check the balance factor of the nodes starting from the newly inserted node up to the root.
  • Step 3: If the balance factor of any node is not between -1 and 1, it means that the tree is unbalanced.
  • Step 4: Determine the type of imbalance (Left-Left, Left-Right, Right-Right, or Right-Left) based on the position of the newly inserted node.
  • Step 5: Perform the appropriate rotation to restore balance: a single rotation for Left-Left or Right-Right, and a double rotation for Left-Right or Right-Left.
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