Consider a Binary Search Tree (BST) where every node stores a key and two child pointers. What is the time complexity of finding the Lowest Common Ancestor (LCA) of two nodes in a balanced BST with n nodes?
The time complexity of finding the LCA in a balanced BST is O(log n). A Binary Search Tree (BST) ensures that, for every node, all values in its left subtree are smaller, and all values in its right subtree are larger. To find the LCA of two nodes, you can perform a binary search, comparing the node values with the LCA candidates and traversing left or right subtrees based on comparisons. As the height of a balanced BST is log n, finding the LCA involves a traversal that follows the height of the tree, thus resulting in a time complexity of O(log n). Why Other Options are Incorrect: A) O(n): This is the time complexity of finding the LCA in an unbalanced BST, not a balanced one. C) O(n log n): This time complexity is typically associated with certain sorting algorithms, not BST operations. D) O(1): This is incorrect because finding the LCA requires traversal in a balanced BST. E) O(n² ): This time complexity is associated with certain algorithms in dynamic programming, not for BST operations.
Act of Mating in sheep is known as -
Which part of alimentary canal of poultry is known as muscular stomach?
What is the recommended period for the dry period in pregnant animals?
Hump less cattles belongs to the group?
The average dry matter requirement of desi cow is ____ during dry period and ____ during lactating period.
Lumpi-Pro VacInd, a vaccine for Lumpy disease of cattle has been developed by ____
Cross of Bikaneri and merion is?
Newcastle disease/Ranikhet disease (RD) is a highly contagious and most lethal viral disease of poultry. Which Institute had discovered the vaccine for ...
The system of arrangement in which the distribution of feed and fodder to the animals can be done simultaneously on the both sides of feed mangers.
Which method is used for estimation of fat in milk ?