11/12/2022 0 Comments Which one of the followings cannot be searched with google’s specialized search engine?We have learned the basic operations to be performed on a binary search tree. In these two operations also, we are starting from the root and moving to leaf, thus these are also $O(h)$ operations. Similarly, we can write the MINIMUM function. Then, we will move to the right subtree every time until the right child is not null. So, we will start by passing a node (n) to our function - MAXIMUM(n). Thus to find the maximum element, we will go to the right subtree every time until the rightmost element is found i.e., the right child is null. So, to find the maximum/minimum element, we have to find the rightmost/leftmost element respectively. The smallest element of a binary search tree is the leftmost element of the tree and the largest element is the rightmost one. We also get the maximum and the minimum element of a BST using MAXIMUM and MINIMUM operations. Thus, searching in a binary search tree is done $O(h)$ time. To search an element in the tree, we are taking a simple path from the root to leaf. Inorder traversal prints all the data of a binary search tree in a sorted order. Otherwise, we will search the left subtree if the value to be searched is smaller.Īnd if the value to be searched is larger, we will search the right subtree. We will first check if the data to be searched is at the root or not. We will perform the search operation if the root of the tree is not null - if(T.root != null). So, our function will take the element to be searched (x) and the tree (T) i.e., SEARCH(x, T). Otherwise, if the value to be searched is larger, we will just search the right subtree. In that case, we will search for the value in the left subtree. Suppose we are on a node and the value to be searched is smaller than the value of the node. The property that all the values lesser than the value of a node lies on the left subtree and all the values greater than the value of a node lies on the right subtree helps to perform the searching in $O(h)$ time (where h is the height of the tree). So, let's look at the searching process of a BST. In the above picture, the second tree is not a binary search tree because all the values of all the nodes of the left subtree are not smaller than all the nodes of the right subtree.Īs the name suggests, binary search tree is usually used to perform an optimized search. Also, the values of all the nodes of the right subtree of any node are greater than the value of the node. Ayers ( 2010) details this site's features.Binary Search Tree (or BST) is a special kind of binary tree in which the values of all the nodes of the left subtree of any node of the tree are smaller than the value of the node. The site provides RSS feeds and a widget for librarians to use on their library web pages. These resources contain the results of DOE research and development (R&D) projects and programs, major R&D accomplishments, green-energy research, proceedings and papers from science conferences, and more. Department of Energy (DOE), this federated search engine searches resources simultaneously from multiple Department of Energy scientific and technical information databases. Links enclosed in Developed and maintained by the Office of Scientific and Technical Information (OSTI), U.S.
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