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For B wouldn't insertion of a value between 20 and 23 also cause a right left imbalance?
Also can you please draw what the rotations for the tree would look like as you described after inserting 18.
Key characteristics of an AVL tree include:
Binary Search Tree (BST) Property: Like all binary search trees, an AVL tree maintains the properties of a BST. Each node in the tree has a value, and the left subtree of a node contains values less than the node's value, while the right subtree contains values greater than the node's value.
Balancing Criterion: The balance factor for each node is defined as the height of its left subtree minus the height of its right subtree. The balance factor can be in the range of -1, 0, or 1 for all nodes in the tree. If this balance factor goes beyond this range for any node, the tree is rebalanced.
Balancing Operations: When an insertion or deletion operation disrupts the balance property of the AVL tree, one or more rotations are performed to restore balance. These rotations are designed to ensure that the balance factor for each node falls within the acceptable range.
Self-Balancing: AVL trees automatically adjust their structure during insertions and deletions, maintaining their balanced property, which distinguishes them from simple binary search trees.
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