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Which of the following operations is performed to maintain the balance of an AVL

Practice Questions

Q1
Which of the following operations is performed to maintain the balance of an AVL tree after insertion?
  1. Rotation
  2. Traversal
  3. Rearrangement
  4. Deletion

Questions & Step-by-Step Solutions

Which of the following operations is performed to maintain the balance of an AVL tree after insertion?
  • Step 1: Understand that an AVL tree is a type of binary search tree that keeps itself balanced.
  • Step 2: When you insert a new node into the AVL tree, the tree may become unbalanced.
  • Step 3: Check the balance factor of the tree. The balance factor is the difference in height between the left and right subtrees.
  • Step 4: If the balance factor is not between -1 and 1, the tree is unbalanced.
  • Step 5: Determine the type of imbalance (left-left, left-right, right-right, or right-left) based on where the new node was added.
  • Step 6: Perform the appropriate rotation(s) to restore balance. This can be a single rotation or a double rotation.
  • Step 7: After performing the rotation(s), the AVL tree will be balanced again.
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