How does the balancing factor of an AVL tree node get calculated?

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Question: How does the balancing factor of an AVL tree node get calculated?

Options:

Correct Answer: Height of left subtree - height of right subtree

Solution:

The balancing factor of an AVL tree node is calculated as the height of the left subtree minus the height of the right subtree.

How does the balancing factor of an AVL tree node get calculated?

How does the balancing factor of an AVL tree node get calculated?

Step 1: Understand that an AVL tree is a type of binary search tree that maintains balance.
Step 2: Know that each node in the AVL tree has a left subtree and a right subtree.
Step 3: Calculate the height of the left subtree. The height is the number of edges from the node to the deepest leaf in that subtree.
Step 4: Calculate the height of the right subtree in the same way.
Step 5: Subtract the height of the right subtree from the height of the left subtree. This result is the balancing factor.
Step 6: Remember that a balancing factor can be -1, 0, or 1 for the tree to remain balanced.

Balancing Factor Calculation – The balancing factor of an AVL tree node is determined by subtracting the height of the right subtree from the height of the left subtree.
AVL Tree Properties – Understanding the properties of AVL trees, including how they maintain balance through rotations based on the balancing factor.