What is the balance factor of a node in an AVL tree?

Practice Questions

Q1
What is the balance factor of a node in an AVL tree?
  1. Height of left subtree - Height of right subtree
  2. Height of right subtree - Height of left subtree
  3. Number of nodes in left subtree - Number of nodes in right subtree
  4. Number of nodes in right subtree - Number of nodes in left subtree

Questions & Step-by-Step Solutions

What is the balance factor of a node in an AVL tree?
  • Step 1: Understand that an AVL tree is a type of binary search tree that keeps itself balanced.
  • Step 2: Know that each node in the AVL tree has two subtrees: a left subtree and a right subtree.
  • Step 3: Find the height of the left subtree of the node. The height is the number of edges on the longest path from that subtree's root to its furthest leaf.
  • Step 4: Find the height of the right subtree of the node in the same way.
  • Step 5: Calculate the balance factor by subtracting the height of the right subtree from the height of the left subtree. The formula is: Balance Factor = Height of Left Subtree - Height of Right Subtree.
  • Step 6: A balance factor of 0 means the node is balanced, a positive value means the left subtree is taller, and a negative value means the right subtree is taller.
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