Which of the following statements is true about Red-Black trees?

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Question: Which of the following statements is true about Red-Black trees?

Options:

Correct Answer: They can have a height of up to 2*log(n+1)

Solution:

In Red-Black trees, the height can be up to 2*log(n+1), which allows for efficient operations while not being perfectly balanced.

Which of the following statements is true about Red-Black trees?

Which of the following statements is true about Red-Black trees?

Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that has specific properties to keep it balanced.
Step 2: Learn about the properties of Red-Black trees. They have rules about the colors of nodes (red or black) and how they are arranged.
Step 3: Know that the height of a Red-Black tree is important for its efficiency. The height affects how quickly you can search, insert, or delete nodes.
Step 4: The height of a Red-Black tree can be up to 2 times the logarithm of the number of nodes (n) plus one. This means it can grow, but not too much.
Step 5: Understand that this height limit helps keep the tree balanced enough for efficient operations, even though it is not perfectly balanced like some other trees.

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