A binary tree is a special type of tree in which each node of the tree can have at most two child nodes. These child nodes are known as right child and left child.A simple binary tree is −For representing trees, there are two ways, dynamic node representation which uses linked listSequential representation which uses array.Here, we will discuss about array representation of binary tree. For this we need to number the nodes of the BT. This numbering can start from 0 to (n-1) or from 1 to n.Lets derive the positions of nodes and their parent and child nodes ... Read More

Binary search tree (BST) is a special type of tree which follows the following rules −left child node’s value is always less than the parent Noteright child node has a greater value than the parent node.all the nodes individually form a binary search tree.Example of a binary search tree (BST) −A binary search tree is created in order to reduce the complexity of operations like search, find minimum and maximum.Delete Operation binary search tree (BST)delete operation is dropping the specified node from the tree. in case deleting the nodes, there are three possibilities −Deleting a leaf node from the tree: ... Read More

Binary search tree (BST) is a special type of tree which follows the following rules −left child node’s value is always less than the parent Noteright child node has a greater value than the parent node.all the nodes individually form a binary search tree.Example of a binary search tree (BST) −A binary search tree is created in order to reduce the complexity of operations like search, find minimum and maximum.Search operation in BSTPerforming a search in a binary search tree, We need to search for a key in the tree. For this, We will compare the key with the root ... Read More

In this article, we are given a sorted singly linked list, and our task is to search for a given node using a binary search algorithm. The binary search algorithm works on the divide-and-conquer principle as it keeps dividing the list in half before searching. To search for an element in the linked list using binary search, it should be sorted. In the sorted linked list, we find the middle node using two pointers (slow and fast) and compare it with the target node, and based on the comparison, we either search in the left or right sub-list or return ... Read More

A binary search known as logarithmic search is a search algorithm that searches for an element in a sorted array. The algorithm recursively divides the array into two halves, if the element is found at the mid position then return otherwise call the divide and check again until the element is found.WorkingThe algorithm works by comparing the middle element of the sorted array with the element that is to be searched.If the search element is equal to the middle element, then return the index of the element.If the search element is greater than the middle element, search in the left ... Read More

Binary search is the fastest algorithm for finding an item from a sorted list of items. C++ STL provides built-in functions to perform binary search operations on sorted ranges of elements. In this article, we will learn binary_search, lower_bound and upper_bound functions in C++ STL. First of all, let's understand what binary search is. What is Binary Search? Binary search is a fast search algorithm with run-time complexity of (log n). This search algorithm works on the principle of divide and conquer, since it divides the array into half before searching. This algorithm works only on sorted collection of ... Read More

In this tutorial, we will be discussing a program to convert a BST to a binary tree such that the sum of all greater keys is added to every key.For this, we will be provided with a Binary Search tree. Our task is to convert that tree into a binary tree with the sum of all greater keys added to the current key. This will be done by the reverse in order of the given BST along with having the sum of all the previous elements and finally adding it to the current element.Example Live Demo#include using namespace std; //node ... Read More

In this tutorial, we will be discussing a program to convert a binary tree to a threaded binary tree using a queue data structure.For this, we will be provided with a binary tree. Our task is to convert that particular binary tree into a threaded binary tree by adding additional routes for quicker inorder traversal with the help of a queue data structure.Example Live Demo#include #include using namespace std; //node structure for threaded tree struct Node {    int key;    Node *left, *right;    bool isThreaded; }; //putting the inorder pattern into a queue void convert_queue(Node* root, std::queue* ... Read More

In this tutorial, we will be discussing a program to convert a binary tree to a circular doubly linked list.For this, we will be provided with a binary tree. Our task will be to convert the left and right nodes to the left and right elements respectively. And take the inorder of the binary tree to be the sequence order of the circular linked listExample Live Demo#include using namespace std; //node structure of the binary tree struct Node{    struct Node *left, *right;    int data; }; //appending rightlist to the end of leftlist Node *concatenate(Node *leftList, Node *rightList){    //if ... Read More

In this tutorial, we will be discussing a program to convert a binary tree such that every node stores the sum of all nodes in its right subtree.For this, we will be provided with a binary tree. Our task is to return another tree where every node must be equal to the sum of the node and its right subtree.Example Live Demo#include using namespace std; //node structure of tree struct Node {    int data;    Node *left, *right; }; //creation of a new node struct Node* createNode(int item){    Node* temp = new Node;    temp->data = item;   ... Read More