Which of the following data structure can provide efficient searching of the elements?

Which of the following data structure can provide efficient searching of the elements?(d) treap(b) 2-3 tree(c) unordered lists(a) binary search tree

Options

  • A. treap
  • B. 2-3 tree
  • C. unordered lists
  • D. binary search tree

Correct Answer (Detailed Explanation is Below)

B. 2-3 tree

Detailed Explanation

While multiple structures in the list offer efficient searching, the 2-3 tree is considered the most reliable for efficient searching because it is perfectly balanced by design.
  • Worst-Case Efficiency: A 2-3 tree guarantees a worst-case search time of O(logn) 
    . Unlike a standard Binary Search Tree, it automatically maintains its balance, ensuring the tree never becomes skewed or "degenerate".
  • Structure: Every internal node has either 2 or 3 children, and all leaf nodes are at the same level, which keeps the search path consistently short.
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