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Technical articles with clear explanations and examples

Stein's Algorithm for finding GCD in C++

Ajay yadav
Ajay yadav
Updated on 11-Mar-2026 566 Views

Stein's Algorithm used for discovering GCD of numbers as it calculates the best regular divisor of two non-negative whole numbers. It replaces division with math movements, examinations, and subtraction. In the event that both an and b are 0, gcd is zero gcd(0, 0) = 0. The algorithm for GCD(a, b) as follows;AlgorithmSTART    Step-1: check If both a and b are 0, gcd is zero gcd(0, 0) = 0.    Step-2: then gcd(a, 0) = a and gcd(0, b) = b because everything divides 0.    Step-3: check If a and b are both even, gcd(a, b) = 2*gcd(a/2, ...

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Print all possible strings of length k that can be formed from a set of n characters in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 2K+ Views

In this problem, we are given a set of characters and a positive integer k and we have to print all possible strings of length k that can be generated using the characters of the set.Let’s take an example to understand the problem better −Input: set = {‘x’, ‘y’, ‘z’} , k = 2 Output: xy, xz, yzTo solve this problem, we have to find all possible sequences that can be generated. For the set of size n, the total number of a possible string of length k will be nk (n^k). We will use a recursive call to generate ...

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Maximum profit from sale of wines in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 280 Views

Problem statementGiven n wines in a row, with integers denoting the cost of each wine respectively. Each year you can sale the first or the last wine in the row. The price of wines increases over time. Let the initial profits from the wines be P1, P2, P3…Pn. On the Yth year, the profit from the ith wine will be Y*Pi. For each year, your task is to print start or end denoting whether first or last wine should be sold. Also, calculate the maximum profit from all the wines.ExampleIf wine prices are {2, 4, 6, 2, 5} then output ...

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Minimum operation to make all elements equal in array in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 2K+ Views

Problem statementGiven an array with n positive integers. We need to find the minimum number of operation to make all elements equal. We can perform addition, multiplication, subtraction or division with any element on an array element.ExampleIf input array is = {1, 2, 3, 4} then we require minimum 3 operations to make all elements equal. For example, we can make elements 4 by doing 3 additions.Algorithm1. Select element with maximum frequency. Let us call it ‘x’ 2. Now we have to perform n-x operations as there are x element with same valueExample#include using namespace std; int getMinOperations(int *arr, int ...

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Find if there is a rectangle in binary matrix with corners as 1 in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 318 Views

Suppose we have a binary matrix. We have to find if there is any rectangle or sequence in the given matrix whose all four corners are equal to 1. The matrix is like10010001010001010101The result will be yes. Here one rectangle is present, whose corners are with 1s.101010101To solve this we will use one efficient approach. We will follow these steps −Scan the matrix from top to bottom line by lineFor each line remember each combination of two 1’s and push that into a hash-set.If we ever find that combination again in the later line, we will get our rectangle.Example#include #include ...

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Print all possible paths from top left to bottom right of a mXn matrix in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 467 Views

In this problem, we are given an mXn 2D matrix and we have to print all possible paths from top left to the bottom right of the matrix. For traversal, we can move only right and down in the matrix.Let’s take an example to understand the topic better −Input: 1 3 5 2 8 9 Output: 1 -> 3 -> 5 -> 9 1 -> 3 -> 8 -> 9 1 -> 2 -> 8 -> 9To solve this problem, we will move from one cell to another and print the path on going down and right. We will do ...

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Maximum removal from array when removal time >= waiting time in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 195 Views

In this problem, we are given an array of N elements. Our task is to find the maximum removal from the array when removal time >= waiting time.So, here we will be removing the elements of the array. The value of the element of the array denotes the removal time(time taken to remove the element from the array).The element has a waiting time which is the time it will have to wait till it will get removed.The element can be removed from the only if the removal time is greater than the time it has to wait.We have to find ...

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Minimum numbers needed to express every integer below N as a sum in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 304 Views

Problem statementWe have an integer N. We need to express N as a sum of K integers such that by adding some or all of these integers we can get all the numbers in the range 1 to N. The task is to find minimum value of KExampleIf N = 8 then final answer i.e. K would be 3If we take integers 1, 2, 3, and 4 then adding some or all of these groups we can get all number in the range 1 to Ne.g. 1 = 1 2 = 2 3 = 3 4 = 4 5 = ...

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Print all valid words that are possible using Characters of Array in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 310 Views

Ib this problem, we are given a set of words and an array of character and we have to check if the words are possible using the characters of the array.Let’s take an example to understand the problem better −Input : words[] : {‘go’ , ‘hi’ , ‘run’ , ‘on’ , ‘hog’ , ‘gone’}    Char[] : {‘a’ , ‘o’ , ‘h’ , ‘g’} Output : go , hog.Explanation − Out of the words, the words that contain the given characters are - go, hog and rest don’t include characters in the char array.To solve this problem, we will use ...

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Print all possible expressions that evaluate to a target in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 380 Views

In this problem, we are given a string of integers from 0 to 9 and a target value. We have to print out ways in which we can generate expression using +, -, and * operation which is evaluated to the value equal to target.Let’s take an example to understand the topic better −Input: string = “123” , target= 6 Output: { “1+2+3”, “1*2*3” }To solve this problem, we will be creating expressions by placing all possible binary operators between digits and then checking the result of the expression with the target value.We will pass all values to a recursive ...

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