Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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It is easy to see why a binary search tree is preferable to other data structures, such as a linked list or an array, since its benefits are more obvious?
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- 1. Imagine there are 50 nodes in a queue and the head and the tail are pointing to the one and the same node. What is this type of queue called? 2. Can a binary search algorithm be written by recursion?arrow_forwardIn Java,What is the maximum number of comparisons that a binary search function will make when searching for a value in a 2000-elements array? why?What is the difference between a binary tree and a binary search tree?arrow_forwardC++ You are given the root node of a binary search tree (BST) and a value to insert into the tree. Return the root node of the BST after the insertion. It is guaranteed that the new value does not exist in the original BST. Example 1: diagram for example 1 attached Input: root = [4,2,7,1,3], val = 5 Output: [4,2,7,1,3,5] Explanation: Another accepted tree is: Example 2: Input: root = [40,20,60,10,30,50,70], val = 25 Output: [40,20,60,10,30,50,70,null,null,25] Example 3: Input: root = [4,2,7,1,3,null,null,null,null,null,null], val = 5 Output: [4,2,7,1,3,5] Constraints: The number of nodes in the tree will be in the range [0, 104]. -108 <= Node.val <= 108 All the values Node.val are unique. -108 <= val <= 108 It's guaranteed that val does not exist in the original BST.arrow_forward
- java binary tree: Given the following binary search tree, what would be the sequence of nodes, if traversed using inorder traversal after deleting 8.arrow_forwardImplement the Binary Tree data structure for string data with all of its associated operations. Apply it for the following applications 1. Store 10 names of cities of Pakistan. 2. Search name of a city in tree. 3. Remove 3 names. 4. Add 2 names of any other cities, besides already used. 5. Search for newly added cities. Subject: Data Structure Algorithm ( Language C++)arrow_forwardImplement the pre-order tree traversal algorithm in C++. This program should use the following binary tree (see image) and display the pre-order tree traversal of the nodes’ values. Feel free to write this iteratively or recursively. Also, explain how it works and how a new tree could be provided to the code. PS: make sure that the logic of the program is correct, meaning that it can work well with different binary trees. I would like to change the tree input to the pre-order traversal function. The program should work errorless and display the result correctly. No need to code it to read the user input, however, provide instructions on how a new tree can be defined in this program to check if the program works fine with different trees.arrow_forward
- In data structures and algorithms,is it true that a doubly linked list is a linear list in which each node has pointers to point to the predecessor and successor nodes?arrow_forwardWrite programs to do BFS and DFS traverse of the graph, based on the adjacent list structure. By using queue, implement the BFS algorithm and print the node sequence. By using recursive method, implement the DFS algorithm and print the node sequence. The source node of the traverse should be input by the user. BFS: DFS:arrow_forwardCreate a function that takes an array that represent a Binary Tree and a value and return true if the value is in the tree and, false otherwise. Examples valueInTree (arr1, 5) true valueInTree (arr1, 9) → false valueInTree (arr2, 51) → falsearrow_forward
- Explore the concept of Binary Expression Trees and their role in evaluating mathematical expressions. How can you construct and evaluate expressions using binary expression trees?arrow_forwardConstruct a Binary Search Tree (BST) using the data provided in shaded row and name it “BST-1”. 50 45 65 60 75 90 15 35 70 45 55 40 20 80 95 85 25 50 74 5 Provide answers to the following considering your constructed BST-1: Write a C++ code for the in-order traversal of BST-1. Also, dry run your code on it and elaborate its each step. Compute the total number of used and unused (null) references defined in BST-1. And construct an equivalent two-way in-order threaded BST-1 that has minimum number of null references.arrow_forwardCreate a function that takes an array that represent a Binary Tree and a value and return true if the value is in the tree and, false otherwise. Examples valueInTree (arr1, 5) true valueInTree (arr1, 9) → false valueInTree (arr2, 51) → falsearrow_forward
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