In a balanced binary search tree (BST) , the height of the tree is maintained as O(log n)), ensuring that each level of the tree splits the search space roughly in half. This property allows searching for an element in the tree with logarithmic time complexity. For example, consider a balanced BST with 15 nodes. The height is approximately log 215≈4, so searching for any element will involve checking at most 4 nodes from the root to a leaf. The logarithmic reduction at each step (halving the search space) makes this approach efficient for large datasets. Balanced trees such as AVL or Red-Black trees maintain this logarithmic height through rotation operations during insertion and deletion, ensuring the O(log n) search time even after multiple modifications. Explanation of Incorrect Options: A) O(n) : This would be the time complexity for searching in an unbalanced BST or a linked list, where all nodes are skewed to one side. However, a balanced BST ensures O(log n) complexity. C) O(n2) This complexity is not applicable to BST search operations. It might appear in poorly optimized nested loops or certain pathological cases in other algorithms. D) O(1) Constant time search is achieved in hash tables, not in BSTs, as BSTs require traversing nodes to locate the target element. E) O(nlog n) This is the complexity of sorting algorithms like Merge Sort or Heap Sort, not searching in a BST.
The measure of which nutrient's square is found deficient in "Black Soil"?
Which of the cultural operations is specially followed in Chickpea ?
On which date is the ICAR (Indian Council of Agricultural Research) Foundation Day celebrated annually?
Where is the headquarter of International Fund for Agriculture Development located?
Which bacterial phylum is one of the most predominant in the phyllosphere?
The most suitable irrigation method for horticultural trees is ___
Lac insect has which type of mouth part
What is conservation agriculture?
The ‘Training & Visit System’, a scheme designed by Daniel Benor, was initially piloted in which country?
Mass contact method of communication is done when persons are more the