Count all prefixes of the given binary array which are divisible by x in C++

In this tutorial, we will be discussing a program to find the number of prefixes of the binary array which are divisible by x.

For this we will be provided with binary array and a value x. Our task is to find the number of elements whose prefixes are divisible by given value x.

Example

 Live Demo

#include <bits/stdc++.h>
using namespace std;
//counting the elements with prefixes
//divisible by x
int count_divx(int arr[], int n, int x){
   int number = 0;
   int count = 0;
   for (int i = 0; i < n; i++) {
      number = number * 2 + arr[i];
      //increasing count
      if ((number % x == 0))
         count += 1;
   }
   return count;
}
int main(){
   int arr[] = { 1, 0, 1, 0, 1, 1, 0 };
   int n = sizeof(arr) / sizeof(arr[0]);
   int x = 2;
   cout << count_divx(arr, n, x);
   return 0;
}

Output

3

Ayush Gupta

Published on 17-Feb-2020 10:39:57

• Related Questions & Answers
• Count the number of elements in an array which are divisible by k in C++
• Count numbers which are divisible by all the numbers from 2 to 10 in C++
• Count numbers in range 1 to N which are divisible by X but not by Y in C++
• Count all 0s which are blocked by 1s in binary matrix in C++
• Count numbers in a range that are divisible by all array elements in C++
• Sum of first N natural numbers which are divisible by X or Y
• Find elements of an array which are divisible by N using STL in C++
• Product of all the elements in an array divisible by a given number K in C++
• Maximize the number of sum pairs which are divisible by K in C++
• Count all prefixes in given string with greatest frequency using Python
• Count n digit numbers divisible by given number in C++
• Count numbers in range that are divisible by all of its non-zero digits in C++
• Program to count number of trailing zeros of minimum number x which is divisible by all values from 1 to k in Python
• Minimum steps to make all the elements of the array divisible by 4 in C++
• Count elements that are divisible by at-least one element in another array in C++