How do I implement deletion in AVL trees?
To delete a node in an AVL tree, you first perform a standard binary search tree deletion. Then, you need to check the balance of the tree and perform rotations if necessary.
What are the steps for the standard deletion process?
The steps are: 1. Find the node to delete. 2. Remove it. 3. If the node has two children, replace it with its in-order predecessor or successor. 4. Update the height of the nodes.
How do I check the balance of the tree after deletion?
After deletion, check the balance factor of each node starting from the deleted node's parent. If the balance factor is not in the range of -1 to 1, perform rotations to restore balance.
Can you explain the types of rotations?
Sure! There are four types of rotations: Left Rotation, Right Rotation, Left-Right Rotation, and Right-Left Rotation. Each is used based on the balance factor of the nodes.
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