Question
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?ÂSolution
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.
The government will supply 35 million tonne (MT) of iron-fortified rice to the 800 million beneficiaries under the National Food Security Act (NFSA) by ...
What are the specific targets announced by Prime Minister Narendra Modi during the 26th edition of the Conference of Parties (CoP-26) in Glasgow, Scotland?
According to the data provided by the defense expenditure increased by 3.7 per cent in real terms to reach a record high of _____ in 2022.
IFFCO will collaborate with ________ will manufacture Nano DAP for a period of three years.
Which private sector bank has launched its mobile health services for a broad category of support staff, including essential and domestic service person...
Why did Bhutan's Prime Minister announce the completion of the National Dog Population Management and Rabies Control Project?
In which city was the country's first solar roof cycling track, named Healthway?
Which hijacked ship's Bulgarian nationals were assured by Prime Minister Narendra Modi to return home soon after being rescued by the Indian Navy?
Who won the title of Saudi Arabia Grand Prix 2023?
Which Indian long jumper successfully defended his title and won gold at the International Jumping Meeting in Greece?