79787565

Date: 2025-10-10 17:03:22
Score: 2
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Steps for insertion in AVL trees -

  1. Insert the new node as in a normal binary search tree (BST).

  2. Move back up the tree and calculate the balance factor for each node:
    balance factor = height of left subtree - height of right subtree.

  3. If the balance factor becomes greater than 1 or less than -1 (means balance factor should be -1, 0, +1), the tree is unbalanced and needs rotation.
    There are four types of rotation which include -

    • Left left (LL) rotation - when a node is inserted in the left subtree of the left child.

    • Right right (RR) rotation - when a node is inserted into the right subtree of the right child.

    • Left right (LR) rotation - when a node is inserted into the right subtree of the left child.

    • Right left (RL) rotation - when a node is inserted in the left subtree of the right child.

      For example, this is a balanced AVL tree -

      enter image description here

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Posted by: muskan