Balanced Trees: AVL and Red-Black Trees - Applications - Advanced Concepts

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Q. In a Red-Black tree, what property ensures that no two red nodes are adjacent?
  • A. Root property
  • B. Red property
  • C. Black property
  • D. Leaf property
Q. In which scenario would you prefer an AVL tree over a Red-Black tree?
  • A. When frequent insertions and deletions are expected
  • B. When search operations are more frequent than updates
  • C. When memory usage is a critical factor
  • D. When the tree needs to be perfectly balanced
Q. In which scenario would you prefer using a Red-Black tree over an AVL tree?
  • A. When frequent insertions and deletions are expected
  • B. When memory usage is a critical factor
  • C. When the dataset is static
  • D. When search operations are the most frequent
Q. What is the main advantage of using a balanced tree over an unbalanced tree?
  • A. Easier to implement
  • B. Faster operations due to reduced height
  • C. Less memory usage
  • D. More complex algorithms
Q. What is the maximum height of a Red-Black tree with n nodes?
  • A. 2n
  • B. n
  • C. log(n)
  • D. 2 log(n)
Q. What is the primary purpose of using AVL trees?
  • A. To store data in a sorted manner
  • B. To allow faster search operations
  • C. To maintain balance for efficient operations
  • D. To reduce memory usage
Q. Which of the following is a characteristic of AVL trees?
  • A. They can have a maximum height of log(n)
  • B. They allow duplicate values
  • C. They are always complete binary trees
  • D. They require less memory than Red-Black trees
Q. Which of the following is NOT a property of Red-Black trees?
  • A. Every node is either red or black
  • B. The root is always black
  • C. All leaves are red
  • D. Every path from a node to its descendant leaves has the same number of black nodes
Q. Which operation is performed to maintain the balance of an AVL tree after insertion?
  • A. Rotation
  • B. Recoloring
  • C. Splitting
  • D. Merging
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