18.4. Handling Nodes with Height -2

Try these first

1. 1.

   What does it mean for a node to have a height of -2?

   Hint

   Think about the height difference.

2. 2.

   Name one operation you can perform to fix a height -2 situation.

   Hint

   What structural change helps to balance the tree?

3. 3.

   What indicates a height of -2 in an AVL Tree?

   • The left subtree is taller
   • The right subtree is taller
   • Both subtrees are equal

   Hint

   Visualize the balance of the tree.

4. 4.

   A left rotation is required if the left child slope is what?

   • True
   • False

   Hint

   Revisit how rotations work with slopes.

5. 5.

   Given an AVL tree structure that becomes imbalanced after multiple insertions, outline the step-by-step process required to identify, rotate, and update heights for all affected nodes.

   Hint

   Start tracing from the root of the tree down to all modified paths.

6. 6.

   Explain two cases when the height of -2 occurs and detail how you would correct each scenario with rotations.

   Hint

   Think about which subtree's balance is being affected before you apply operations.