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18.6. Rebalancing During Deletions

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  1. 1.

    What is the slope in a binary search tree?

    Hint

    Think about the heights before and after deletions.

  2. 2.

    Define what a rotation is in the context of trees.

    Hint

    Consider what happens when a tree becomes unbalanced.

  3. 3.

    What happens when the slope at a node is +2?

    • Left subtree gets taller.
    • Right subtree gets taller.
    • Tree remains balanced.
    Hint

    Focus on left and right relationships.

  4. 4.

    True or False: Calculating the height of subtrees is done on the fly.

    • True
    • False
    Hint

    Think about efficiency in tree operations.

  5. 5.

    Describe the full rebalancing process if a tree node x has a slope of +2 and y has a slope of -1.

    Hint

    Think about the order of operations for rotations.

  6. 6.

    If you need to delete a node and it causes a slope of -2, explain the steps for rebalancing.

    Hint

    Consider both child slopes to determine the actions.

Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Quiz

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Challenge Problems

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting