Programming Articles

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Maximize number of 0s by flipping a subarray in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 840 Views

Problem statementGiven a binary array, find the maximum number of zeros in an array with one flip of a subarray allowed. A flip operation switches all 0s to 1s and 1s to 0sIf arr1= {1, 1, 0, 0, 0, 0, 0}If we flip first 2 1’s to 0’s, then we can get subarray of size 7 as follows −{0, 0, 0, 0, 0, 0, 0}Algorithm1. Consider all subarrays and find a subarray with maximum value of (count of 1s) – (count of 0s) 2. Considers this value be maxDiff. Finally return count of zeros in original array + maxDiff.Example#include ...

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Printing Different pattern Bash in C++

Ajay yadav
Ajay yadav
Updated on 11-Mar-2026 445 Views

This article is intended to print a half-pyramid pattern bash using the C++ programming language. In the view of the stipulated pattern to be printed, the following algorithm is being orchestrated to achieve our goal as;AlgorithmStep-1 Set the length of the Bash (Height) Step-2 Outer loop to handle the number of rows Step-3 Inner loop to handle columns Step-4 Print the pattern with the character (@) Step-5 Set the pointer to a new line after each row (outside the inner loop) Step-6 Repeat the loop till the Bash HeightExampleSo, the following C++ source code is ultimately carved out by complying ...

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Find smallest values of x and y such that ax – by = 0 in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 202 Views

Suppose we have two values a and b. We have to find x and y, such that ax – by = 0. So if a = 25 and b = 35, then x = 7 and y = 5.To solve this, we have to calculate the LCM of a and b. LCM of a and b will be the smallest value that can make both sides equal. The LCM can be found using GCD of numbers using this formula −LCM (a,b)=(a*b)/GCD(a,b)Example#include #include using namespace std; void getSmallestXY(int a, int b) {    int lcm = (a * b) / __gcd(a, b);    cout

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Maximize the bitwise OR of an array in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 920 Views

Problem statementGiven an array of N integers. The bitwise OR of all the elements of the array has to be maximized by performing one task. The task is to multiply any element of the array at-most k times with a given integer xIf input array is {4, 3, 6, 1}, k = 2 and x = 3 then maximum value can be obtained is 55Algorithm1. multiply an array element with (x^k) and do bitwise OR it with the bitwise OR of all previous elements 2. Multiply an array element with bitwise OR of all next elements 3. Return the maximum ...

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Maximize the maximum subarray sum after removing at most one element in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 375 Views

Problem statementGiven an array arr[] of N integers. The task is to first find the maximum sub-array sum and then remove at most one element from the sub-array. Remove at most a single element such that the maximum sum after removal is maximized.If given input array is {1, 2, 3, -2, 3} then maximum sub-array sum is {2, 3, -2, 3}. Then we can remove -2. After removing the remaining array becomes−{1, 2, 3, 3} with sum 9 which is maximum.Algorithm1. Use Kadane’s algorithm to find the maximum subarray sum. 2. Once the sum has beens find, re-apply Kadane’s algorithm ...

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Maximum length of the sub-array whose first and last elements are same in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 405 Views

In this problem, we are given an array of characters. Our task is to create a program to print the maximum length of the subarray whose first and last elements are same in C++.Let’s take an example to understand the problem, Input − array = {‘t’, ‘u’, ‘t’, ‘o’, ‘r’, ‘i’, ‘a’, ‘l’, ‘s’, ‘p’, ‘o’, ‘i’, ‘n’, ‘t’ }Output − 14Explanation −The subarray {‘t’, ‘u’, ‘t’, ‘o’, ‘r’, ‘i’, ‘a’, ‘l’, ‘s’, ‘p’, ‘o’, ‘i’, ‘n’, ‘t’ } starts and ends with t.To solve this problem, we find the first and last occurrence a character in the array and ...

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Height Checker in Python

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 1K+ Views

Suppose a set of students have to be arranged in non-decreasing order of their heights for a photograph. If we have an array of students, we have to return the minimum number of students that are not present in correct position. So if the array is like [1, 1, 4, 2, 1, 3], then output will be 3. So students with height 4, 3 and the last 1 are not standing in the correct position.To solve this, we will follow these steps −answer := 0let x := Array in sorted formley y := Arrayfor i := 0 to size of ...

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Find sum of a number and its maximum prime factor in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 236 Views

Suppose we have a positive number n, and we have to find the sum of N and its maximum prime factor. So when the number is 26, then maximum prime factor is 13, so sum will be 26 + 13 = 39.Approach is straight forward. Simply find the max prime factor, and calculate the sum and return.Example#include #include using namespace std; int maxPrimeFact(int n){    int num = n;    int maxPrime = -1;    while (n % 2 == 0) {       maxPrime = 2;       n /= 2;    }    for (int i = 3; i 2)    maxPrime = n;    return maxPrime; } int getRes(int n) {    int sum = maxPrimeFact(n) + n;    return sum; } int main() {    int n = 26;    cout

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Maximize the median of an array in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 321 Views

Problem statementGiven an array arr[] of N elements and an integer K where K < N. The task is to insert K integer elements to the same array such that the median of the resultant array is maximizedIf input array is {1, 3, 2, 5} and k = 3 then−Sorted array becomes {1, 2, 3, 5}Insert 3 elements that are greater than 5. After this operation array becomes {1, 2, 3, 5, 6, 6, 6}Median of the new array is 5Algorithm1. In order to maximize the median of the resultant array, all the elements that need to be inserted must ...

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Greatest Common Divisor of Strings in Python

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 3K+ Views

Suppose there are two strings A and B. We can say that A is divisible by B, when A is created by concatenating B one or more times. So if A = “abcabc”, and B = “abc”, then A is divisible by B. In this section, we will see what is the greatest common divisor of a String. So return the largest string that divides both of the strings. So if two strings are “ABABAB”, and “ABAB”, then GCD will be “AB”To solve this, we will follow these steps −temp := shorter string between A and Bm := length of ...

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