This is a C++ program to repeatedly search the same text.AlgorithmsBegin    Take the original string and pattern to be searched as input.    org_len = store the length of original string    pat_len = store the length of pattern    for i = 0 to (org_len - pat_len)       for j = 0 to pat_len - 1          if (org[i + j] != patt[j])             if (j == pat_len)                Increase m.       Print the position at which the pattern is ... Read More

The N-Queens problem is a puzzle where we need to place N queens on an N x N chessboard such that no two queens attack each other. A queen will attack another queen if they are in the same row, column, or diagonal. In this problem, you are given a value of N, and you need find possible arrangements for N queens on N x N chessboard. For example, Consider that we have a chessboard of size 4 x 4. In this case, we can place maximum 4 queens on the chessboard such that no two queens attack ... Read More

In this problem, you are given three coordinates in a 2D plane, and you need to check if these three points are collinear, meaning they lie on a single straight line. There are two approaches to solve this problem. In this article, we will explain both the approaches with example code in C++. // Input: Coordinates of three points points = {{2, 3}, {4, 6}, {6, 9}}; // Output The points are collinear. Check if Three Points are Collinear If three points lie on a single line, then the points are called as collinear points. ... Read More

The duality transformation is concept in computational geometry that maps coordinate points to lines and lines to coordinate points. In this article, we will learn all about the duality transformation of lines and points, and implement C++ code to show this transformation. What is Duality Transformation? The duality transformation is a process that converts 2 dimensional lines and coordinates into dual plane. In this transformation, a point in the 2D plane can be represented as a line in the dual space, and a line in the 2D plane can be represented as a point in the dual space. This ... Read More

Threaded binary tree is a binary tree that provides the facility to traverse the tree in a particular order. In this article, we will learn all about threaded binary trees, their types, and how to implement them in C++. What is a Threaded Binary Tree? A threaded binary tree is a type of binary tree in which NULL pointers are replaced with pointers to the in-order predecessor and successor nodes. This treading will help in faster traversal of the tree without using a stack or recursion. The image below shows a threaded binary tree. There are two types ... Read More

In this article, we will learn how to write an algorithm an C++ code to find all forward edges in a directed graph. What is a Forward Edge? A forward edge is an edge in a directed graph that points from a node to one of it's descendants in the depth-first search (DFS) tree. To understand this concept better, consider the image of a directed graph below: In the above graph, the edge from node 2 to node 5 is a forward edge because to reach node 5 in DFS traversal, we need to move through node ... Read More

In this article, we will learn what is topological sorting, how to use it to detect cycles in a directed graph, and how to implement it in C++. What is Topological Sort? Topological sorting is an operation used to detect cycle in a graph. In this operation we order the vertices in such a way that for every directed edge u -> v, vertex u comes before vertex v in the ordering. If we are able to perform a topological sort in a graph, it means that the graph is a directed acyclic graph (DAG). The image below show ... Read More

In this problem, we are given adjacency lists of a directed graph and we need to check if there is a cycle in the graph using topological sort. If a cycle exists, it is not possible to perform a topological sort. Example: // Input Graph ( as adjacency list ) 0 -> 1 1 -> 2 1 -> 3 2 -> 0 Output: Cycle exists Explanation: The graph has a cycle (0 -> 1 -> 2 -> 0). To solve this problem, we can use Khan's Algorithm, which is a BFS based topological sorting algorithm. To ... Read More

We are given an array of integers containing the degree of each vertex in a graph. Our task is to check if it is possible to construct a graph with the given degree sequence. Example: int degrees[] = {3, 2, 2, 0} Output: Not Possible Explanation: The first vertex has degree 3, which means it must be connected to three other vertices. But the last vertex has degree 0, meaning it cannot be connected to any other vertex. Hence, it is impossible to construct a graph with this degree sequence. To implement this in C++, we can ... Read More

In this article, we will learn how to print a diamond shape with 2n rows and n columns for a given size n using C++. For example, if n = 4, the diamond shape will look like this: Algorithm to Print Diamond Shape To print the diamond shape, we can follow these steps: Take an integer input n from the user. To print upper half of the diamond, use a loop that runs from i = 1 to i