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Which of the following properties is true for Red-Black trees?

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Question: Which of the following properties is true for Red-Black trees?

Options:

  1. Every node is either red or black
  2. The root must be red
  3. All leaves are black
  4. Both A and C

Correct Answer: Both A and C

Solution: 

In Red-Black trees, every node is either red or black, and all leaves (NIL nodes) are black, ensuring balanced properties.

Which of the following properties is true for Red-Black trees?

Practice Questions

Q1
Which of the following properties is true for Red-Black trees?
  1. Every node is either red or black
  2. The root must be red
  3. All leaves are black
  4. Both A and C

Questions & Step-by-Step Solutions

Which of the following properties is true for Red-Black trees?
  • Step 1: Understand that a Red-Black tree is a type of binary search tree.
  • Step 2: Know that each node in the tree can be colored either red or black.
  • Step 3: Remember that all leaves (NIL nodes) in the tree are always black.
  • Step 4: Recognize that these color properties help maintain balance in the tree.
  • Step 5: Conclude that the properties of Red-Black trees ensure that the tree remains approximately balanced, which helps with efficient operations.
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