For the following AVL Tree please answer the following questions a. What values could you insert to cause a right right imbalance, and at which nodes do the imbalances occur? b. How about a right-left imbalance? At which nodes does the imbalance occur? c. Insert 18 into the AVL tree. What type of imbalance occurs as a result? Show the result and steps of the balancing after the insertion of 18.
For the following AVL Tree please answer the following questions
a. What values could you insert to cause a right right imbalance, and at which nodes do the imbalances occur?
b. How about a right-left imbalance? At which nodes does the imbalance occur?
c. Insert 18 into the AVL tree. What type of imbalance occurs as a result? Show the result and steps of the balancing after the insertion of 18.
To cause a right-right imbalance in the given AVL tree, you would need to insert a larger value in the right subtree of the right child of a node. Specifically, you can create a right-right imbalance by inserting values in the right subtree of a right child of the following nodes:
1. Node 20: Insert a value larger than 20 as the right child of 20.
2. Node 25: Insert a value larger than 25 as the right child of 25.
For example, inserting the value 30 as the right child of 25 or inserting the value 26 as the right child of 20 would create a right-right imbalance at the respective nodes.
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