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Articles by Arnab Chakraborty
Page 331 of 377
Find a permutation such that number of indices for which gcd(p[i], i) > 1 is exactly K in C++
Suppose we have two integers N and K. We have to find a permutation of integers from the range [1 to N] such that the number of indices (1 – base indexing) where gcd(P[i], i) > 1 is exactly K. So if N = 4 and K = 3, then output will be [1, 2, 3, 4], as gcd(1, 1) = 1, gcd(2, 2) = 2, gcd(3, 3) = 3, gcd(4, 4) = 4If we observe it carefully, we can find that gcd(i, i+1) = 1, gcd(1, i) = 1 and gcd(i, i) = i. As the GCD of any ...
Read MoreFind maximum power of a number that divides a factorial in C++
Suppose we have two numbers n and fact. We have to find the largest power of n, that divides fact! (factorial of fact). So if fact = 5, and n = 2, then output will be 3. So 5! = 120, and this is divisible by 2^3 = 8.Here we will use the Legendre’s formula. This finds largest power of a prime, that divides fact!. We will find all prime factors of n, then find largest power of it, that divides fact!.So if fact is 146, and n = 15, then prime factors of n are 5 and 3. Sofor ...
Read MoreWhy C++ is partially Object Oriented Language?
As we know some basic features of an object oriented programming language are the Inheritance, Encapsulation, Polymorphism. Any language that supports these features completely are known as object oriented programming languages. Some languages like C++ supports these three but not fully, so they are partially object oriented language. Let us see the reason why C++ is not known as completely object oriented language.In C++, we need the main() function to start executing, but in C++, the main functions are not present inside the class. So we can also write code without using class in C++. Some OOP languages like JAVA, ...
Read MoreFind maximum number that can be formed using digits of a given number in C++
Suppose we have a number of n digits. We have to find the maximum number that can be obtained using all digits of digits of that number. So if the number is say 339625, then maximum number can be 965332.From the problem, we can see that we can easily sort the digits in non-increasing order, then print them. But we can solve this using more efficient way. We can create one array of size 10 to store the frequency of each digit, then print the numbers from 9 to 0 accordingly.Example Live Demo#include #include using namespace std; int maxNumFromNum(int ...
Read MoreFind maximum number of elements such that their absolute difference is less than or equal to 1 in C++
Suppose we have an array of n elements. We have to find the maximum number of elements to select from the array, such that the absolute difference between any two of the chosen elements is less than or equal to 1. So if the array is like [2, 2, 3, 4, 5], then the element will be 3, so the sequence with maximum count is 2, 2, 3.The absolute difference of 0 and 1 means, that the number can be of type x and x + 1. So the idea is to store the frequencies of array elements. So if ...
Read MoreSort in C++ Standard Template Library (STL)
Here we will see how to use the sort() function of C++ STL to sort an array So if the array is like A = [52, 14, 85, 63, 99, 54, 21], then the output will be [14 21 52 54 63 85 99]. To sort we will use the sort() function, that is present in the header file . The code is like below −Example Live Demo#include #include using namespace std; int main() { int arr[] = {52, 14, 85, 63, 99, 54, 21}; int n = sizeof(arr) / sizeof(arr[0]); cout
Read MoreFind length of longest subsequence of one string which is substring of another string in C++
Suppose, we have two strings X and Y, and we have to find the length of longest subsequence of string X, which is substring in sequence Y. So if X = “ABCD” and Y = “BACDBDCD”, then output will be 3. As “ACD” is the longest sub-sequence of X, which is substring of Y.Here we will use the dynamic programming approach to solve this problem. So if the length of X is n, and length of Y is m, then create DP array of order (m+1)x(n+1). Value of DP[i, j] is maximum length of subsequence of X[0…j], which is substring ...
Read MoreFind Largest Special Prime which is less than or equal to a given number in C++
Suppose we have a number n. We have to find the largest special prime which is less than or equal to N. The special prime is a number, which can be created by placing digits one after another, so all the resultant numbers are prime.Here we will use Sieve Of Eratosthenes. We will create the sieve array up to the number n. Then start iteratively back from the number N, by checking if the number is prime. When this is prime, check whether this is special prime or not.Example Live Demo#include using namespace std; bool isSpecialPrime(bool sieve[], int num) { ...
Read MoreFind Index of 0 to be replaced with 1 to get longest continuous sequence of 1s in a binary array in C++
Suppose, we have an array of N elements. These elements are either 0 or 1. Find the position of 0 to be replaced with 1 to get longest contiguous sequence of 1s. Suppose the array is like arr = [1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1], the output index is 9. Replacing 0 with 1 at index 9 cause the maximum contiguous sequence of 1sWe have to keep track of three indexes. current index(curr), previous zero index(pz), and previous to previous zero index (ppz). Now traverse the array when array element is 0, then ...
Read MoreFind if it is possible to reach the end through given transitions in C++
Suppose we have n points on x-axis and the list of allowed translation between the points. Find if it is possible to reach the end from starting point through these transactions only. So if there is a translation between points x1 and x2, then we can move from point x to any intermediate points between x1 and x2, or directly to x2. So if n = 5. And transactions are 0 to 2, 2 to 4, and 3 to 5. Then output will be YES. There is a path from 0→2→3→5.We have to sort the list according to the first ...
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