Balanced Trees: AVL and Red-Black Trees - Applications - Competitive Exam Level

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Q. How does the balancing of an AVL tree differ from that of a Red-Black tree?
  • A. AVL trees are more rigidly balanced than Red-Black trees
  • B. Red-Black trees are always perfectly balanced
  • C. AVL trees allow more flexibility in balancing
  • D. There is no difference
Q. What is the main advantage of using an AVL tree over a regular binary search tree?
  • A. AVL trees are easier to implement
  • B. AVL trees are always balanced, ensuring O(log n) height
  • C. AVL trees require less memory
  • D. AVL trees can store duplicate values
Q. What is the primary use of AVL trees in competitive programming?
  • A. To store large datasets with minimal memory
  • B. To maintain a sorted list of elements with fast access
  • C. To implement priority queues
  • D. To perform graph traversal
Q. What is the primary use of Red-Black trees in computer science?
  • A. Implementing priority queues
  • B. Maintaining sorted data with fast insertions and deletions
  • C. Storing data in a linear fashion
  • D. Creating hash tables
Q. What is the time complexity of searching for an element in a Red-Black tree?
  • A. O(n)
  • B. O(log n)
  • C. O(n log n)
  • D. O(1)
Q. Which of the following is a valid property of Red-Black trees?
  • A. The height of the tree is always even
  • B. No two red nodes can be adjacent
  • C. All nodes must have two children
  • D. The root can be red
Q. Which of the following is NOT a characteristic of AVL trees?
  • A. They are height-balanced
  • B. They can have at most one child
  • C. They require rotations to maintain balance
  • D. They can be used to implement priority queues
Q. Which of the following operations is guaranteed to be O(log n) in an AVL tree?
  • A. Insertion
  • B. Deletion
  • C. Searching
  • D. All of the above
Q. Which of the following scenarios is best suited for using an AVL tree?
  • A. When frequent insertions and deletions are expected
  • B. When search operations are more frequent than insertions
  • C. When memory usage is a critical concern
  • D. When the data is mostly static
Q. Which of the following statements about AVL trees is false?
  • A. They are a type of self-balancing binary search tree
  • B. They can become unbalanced after insertion
  • C. They require more rotations than Red-Black trees
  • D. They can have nodes with two children only
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