C++ Articles

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Query for ancestor-descendant relationship in a tree in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 225 Views

In this tutorial, we will be discussing a program to find query for ancestor-descendant relationship in a tree.For this we will be provided with a rooted tree and Q queries. Our task is to find the two roots given in the query is an ancestor of the other or not.Example#include using namespace std; //using DFS to find the relation between //given nodes void performingDFS(vector g[], int u, int parent, int timeIn[], int timeOut[], int& count) {    timeIn[u] = count++;    for (int i = 0; i < g[u].size(); i++) {       int v = g[u][i];   ...

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Find the element having different frequency than other array elements in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 235 Views

Suppose we have an array of N numbers, where each element in the array appears same number of times (m times, this is also given) except one element, We have to find this element.So, if the input is like A = [6, 2, 7, 2, 2, 6, 6], m = 3, then the output will be 7.To solve this, we will follow these steps −INT_SIZE := 8 * size of an integer type variableDefine an array count of size − INT_SIZE. and fill with 0for initialize i := 0, when i < INT_SIZE, update (increase i by 1), do:for initialize ...

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Product of all prime numbers in an Array in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 352 Views

Given an integer array arr[] with some elements, the task is to find the product of all the prime number of that numbers.Prime number are those number which are either divided by 1 or the number itself, or a prime number is a number which is not divisible by any other number except 1 and the number itself. Like 1, 2, 3, 5, 7, 11, etc.we have to find the solution for the given array −Input −arr[] = { 11, 20, 31, 4, 5, 6, 70 }Output − 1705Explanation − Prime numbers in array are − 11, 31, 5 their ...

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Find the element that appears once in an array where every other element appears twice in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 481 Views

Suppose we have an array A. In this array there are different numbers that occurs twice. But there is only one number that occurs once. We have to find that element from that array.Suppose A = [1, 1, 5, 3, 2, 5, 2], then the output will be 3. As there are each number twice, we can perform XOR to cancel out that element. because we know y XOR y = 0To solve this, we will follow these steps.Take one variable res = 0for each element e in array A, preform res := res XOR ereturn resExample Let us see the ...

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Reasons for a C++ program crash

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 1K+ Views

The abnormal behavior of C++ programs often leads to program crash. You may have encountered problems like Segmentation fault, Aborted, Floating point exception etc. Following are sample programs that may help you to understand the reasons for a C++ program crash.ExceptionsExceptions in C++ are responses of a program when it encounters an abnormal condition. The program crashes due to such exceptions if they are not handled properly using try-catch blocks. Following program crashes due to divide by zero exception −Example#include int main(){    int num1=10;    int num2=0;    int quotient=num1/num2;    printf(" Quotient is: %d", quotient);    return ...

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Find the maximum cost of an array of pairs choosing at most K pairs in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 249 Views

Suppose we have an array of pairs A; we have to find the maximum cost for selecting at most K pairs. In this case, the cost of an array of pairs type elements is the product of the sum of first elements of the selected pair and the smallest among the second elements of the selected pairs. As an example, if these pairs are selected (4, 8), (10, 3) and (3, 6), then the cost will be (4+10+3)*(3) = 51, for K=3So, if the input is like A = [(15, 5), (65, 25), (35, 20), (20, 5), (35, 20), (15, ...

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Find the probability of reaching all points after N moves from point N in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 206 Views

Suppose we have a number N this represents the initial position of the person on the number line. We also have L which is the probability of the person of going left. We have to find the the probability of reaching all points on the number line after completing N moves from point N. Each move can be either to the left or to the right.So, if the input is like n = 2, l = 0.5, then the output will be [0.25, 0, 0.5, 0, 0.25]To solve this, we will follow these steps −high := 1 - lowDefine an ...

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Find the value of the function Y = (X^6 + X^2 + 9894845) % 981 in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 177 Views

Suppose we have given function like f(x) = (x^6 + x^2 + 9894845) % 971, now for a given value of x, we have to find the value of f(x).So, if the input is like 5, then the output will be 469To solve this, we will follow these steps −Define a function power_mod(), this will take base, exponent, modulus, base := base mod modulusresult := 1while exponent > 0, do −if exponent is odd, then −result := (result * base) mod modulusbase := (base * base) mod modulusexponent = exponent /2return resultFrom the main method do the following −return power_mod(n, ...

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Maximize the number of sum pairs which are divisible by K in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 268 Views

Given the task is to calculate the maximum number of pairs arr[i] + arr[j] that are divisible by K where arr[] is an array containing N integers.Given the condition that a particular index number cannot be used in more than one pair.Inputarr[]={1, 2 ,5 ,8 ,3 }, K=2Output 2Explanation − The desired pairs are: (0, 2), (1, 3) as 1+5=6 and 2+8=10 . Both 6 and 10 are divisible by 2.Alternative answers could be the pairs: (0, 4), (1, 3) or (2, 4), (1, 3) but the answer remains the same, that is, 2.Input arr[]={1 ,3 ,5 ,2 ,3 ,4 }, K=3Output 3Approach ...

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Maximize the maximum among minimum of K consecutive sub-arrays in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 348 Views

Given the task is to divide an array arr[] into K consecutive sub-arrays and find the maximum possible value of maximum among the minimum of the K consecutive sub-srrays.Input arr[]={2, 8, 4, 3, 9, 1, 5}, K=3Output 9Explanation − The 3 consecutive sub arrays that can made are: {2, 8, 4, 3}, {9}, and {1, 5}The minimum values out of all these arrays are: (2, 9, 1)The maximum value out of these three is 9.Input arr[] = { 8, 4, 1, 9, 11}, K=1Output 11Approach used in the below program as followsIf we look at the task, it can be divided into 3 cases ...

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