In an AVL tree, what is the balance factor of a node?
Practice Questions
Q1
In an AVL tree, what is the balance factor of a node?
Height of left subtree - height of right subtree
Height of right subtree - height of left subtree
Number of nodes in left subtree - number of nodes in right subtree
Height of the node itself
Questions & Step-by-Step Solutions
In an AVL tree, what is the balance factor of a node?
Step 1: Understand what an AVL tree is. It 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: Learn about the height of a subtree. The height is the number of edges on the longest path from that subtree to a leaf node.
Step 4: Calculate the height of the left subtree of a node. Count the edges from the node to the deepest leaf in the left subtree.
Step 5: Calculate the height of the right subtree of the same node. Count the edges from the node to the deepest leaf in the right subtree.
Step 6: Find 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 7: Understand that a balance factor of 0 means the tree is balanced, while positive or negative values indicate the tree is leaning towards one side.
