Articles on Trending Technologies

Technical articles with clear explanations and examples

C++ program to find the probability of a state at a given time in a Markov chain

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 697 Views

In this article, we will be discussing a program to find the probability of reaching from the initial state to the final state in a given time period in Markov chain.Markov chain is a random process that consists of various states and the associated probabilities of going from one state to another. It takes unit time to move from one state to another.Markov chain can be represented by a directed graph. To solve the problem, we can make a matrix out of the given Markov chain. In that matrix, element at position (a, b) will represent the probability of going ...

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Maximum GCD from Given Product of Unknowns in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 273 Views

Suppose we two integers N and P. The P is the product of N unknown integers. We have to find the GCD of those integers. There can be different groups of integers possible, that will give the same result. Here we will produce GCD, which is maximum among all possible groups. Suppose N = 3, and P = 24, then different groups will be like {1, 1, 24}, {1, 2, 12}, {1, 3, 8}, {1, 4, 6}, {2, 2, 6}, {2, 3, 4}. The GCDs are: 1, 1, 1, 1, 2, 1. So answer is 2 here.The technique us like, ...

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Check if a given directed graph is strongly connected in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 588 Views

Suppose we have a graph. We have to check whether the graph is strongly connected or not. A graph is said to be strongly connected, if any two vertices have a path between them, then the graph is connected. An undirected graph is strongly connected graph. Some undirected graph may be connected but not strongly connected. This is an example of a strongly connected graph.This is an example of a connected, but not strongly connected graph.Here we will see, how to check a graph is strongly connected or not using the following steps.Steps −Mark all nodes as not visitedStart DFS ...

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Check if a given string is made up of two alternating characters in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 552 Views

Here we will see how to check a string is made up of alternating characters or not. If a string is like XYXYXY, it is valid, if a string is like ABCD, that is invalid.The approach is simple. We will check whether all ith character and i+2 th character are same or not. if they are not same, then return false, otherwise return true.Example#include using namespace std; bool hasAlternateChars(string str){    for (int i = 0; i < str.length() - 2; i++) {       if (str[i] != str[i + 2]) {          return false; ...

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Check if a given string is sum-string in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 526 Views

Here we will see how to check whether a string is sum-string or not. A string is said to be sum-string if the rightmost substring can be written as the sum of two substrings before it, and the same is recursively true for substring before it. Suppose a string like 12243660 is a sum string, like 12 + 24 = 36, and the 36 is present after 12 and 24 in the string, again 24 + 36 = 60, this is also present in the string.A string S can be called sum-string, if it follows this rule −𝑠𝑢𝑏𝑠𝑡𝑟𝑖𝑛𝑔(𝑖, 𝑥)+𝑠𝑢𝑏𝑠𝑡𝑟𝑖𝑛𝑔(𝑥+1, 𝑗)= ...

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C++ program to find whether only two parallel lines contain all coordinates points or not

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 519 Views

In this article, we will be discussing a program to find whether only two parallel lines can hold all the given coordinates points.For this we will be given an array, such that the coordinates will be (i, arr[i]). Let us suppose we are given an array, arr = {2, 6, 8, 12, 14}Then we can have these points on two parallel lines, the first line containing (1, 2), (3, 8) and (5, 14). The second line having the rest coordinates i.e (2, 6) and (4, 12).This problem can be solved by comparing the slopes of the lines made by the ...

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C++ program to find whether there is a path between two cells in matrix

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 318 Views

In this article, we will be discussing a program to find whether there exists a path between two cells in a given matrix.Let us suppose we have been given a square matrix with possible values 0, 1, 2 and 3. Here, 0 means Blank Wall1 means Source2 means Destination3 means Blank CellThere can only be one Source and Destination in the matrix. The program is to see if there’s a possible path from Source to Destination in the given matrix moving in all four possible directions but not diagonally.Example#include using namespace std; //creating a possible graph from given array class ...

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Check if a given tree graph is linear or not in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 297 Views

Here we will see how to check whether a tree graph is linear or not. A linear tree graph can be expressed in one line, suppose this is an example of a linear tree graph.But this is not linear −To check a graph is linear or not, we can follow two conditionsIf the number of nodes is 1, then the tree graph is linearIf (n – 2) of its nodes have in-degree 2Example#include #include #define N 4 using namespace std; class Graph{    private:    int V;    vector *adj;    public:    Graph(int v){       ...

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C++ program to find ΔX which is added to numerator and denominator both of fraction (a/b) to convert it to another fraction (c/d)

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 240 Views

In this article, we will be discussing a program to find ΔX which is added to the numerator and denominator both of given fraction (a/b) to convert it to another given irreducible fraction (c/d).For example, let us suppose we have been given with the following values, a = 4 | b = 2 | c = 4 | d = 3then ΔX would be 4 such that (a + ΔX)/(b + ΔX) = 8/6 = 2/3As we know, (a + ΔX)/(b + ΔX) = c/d. Solving this equation for ΔX, we getΔX = (bc - ad) / (d - c)Example#include ...

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Array Type Manipulation in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 3K+ Views

The array is a data structure in c++ that stored multiple data elements of the same data type in continuous memory locations.In c++ programming language, there are inbuilt functions to manipulate array types. Some functions can also be applied to multidimensional arrays. The array header file contains functions to manipulate arrays in c++ programming language.Some common methods to manipulate arrays in c++ are −is_array()This function is used to check if the variable passed to the function is of the type array or not. This method is strict in recognizing arrays that even std:: array is rejected in the check. The ...

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