avl tree c++

An AVL tree is a self-balancing binary search tree. When a node is inserted or deleted, the tree may become unbalanced, so rotations are performed to maintain the balance. Here are the steps for insertion in an AVL tree in C++:

  1. Perform the standard BST insertion for the given data.

  2. Update the height of the current node.

  3. Get the balance factor of the current node.

  4. If the current node becomes unbalanced, there are four possible cases: Left-Left, Right-Right, Left-Right, and Right-Left.

  5. Depending on the case, perform single or double rotations to balance the tree.

  6. Continue checking and balancing the tree until the root is reached.

These steps ensure that the AVL tree remains balanced after each insertion.