What values could you insert to cause a right-right imbalance, and at which node does the imbalance occur? How about a right-left imbalance? At which node does the imbalance occur? Insert 18 into the AVL tree. What type of imbalance does it cause? Show the result after balancing.
What values could you insert to cause a right-right imbalance, and at which node does the imbalance occur? How about a right-left imbalance? At which node does the imbalance occur? Insert 18 into the AVL tree. What type of imbalance does it cause? Show the result after balancing.
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Use the AVL Tree provided to answer the following questions...
Transcribed Image Text:**AVL Tree Diagram and Exercises**
The image displays a binary tree structure known as an AVL tree. The nodes in the tree are labeled with numbers as follows:
- The root node is 10.
- The left subtree of the root contains nodes 5, 2, and 8.
- Node 8 is connected to node 13.
- The right subtree of the root contains nodes 20, 15, 17, 23, 18, 25, and 30.
Below the tree structure, the following exercises are provided:
9. **Question**: What values could you insert to cause a right-right imbalance, and at which node does the imbalance occur?
10. **Question**: How about a right-left imbalance? At which node does the imbalance occur?
11. **Question**: Insert 18 into the AVL tree. What type of imbalance does it cause? Show the result after balancing.
These questions are designed to help students understand how inserting nodes affects the balance of an AVL tree, and how to correct imbalances through rotations.
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