# Reinfected Solution | CodeChef Puzzle in C++

Problem

We are very near to our goal now. The enemy is being weakened continuously. But alas, sensing his fall, the hacker has spread a worm into our network. It is consuming all our files at a tremendous rate and must be stopped at all costs. The only way to stop it is to enter a specific code number in to the worm.

#### Input

The first line will consist of the total number of test cases T. The next T lines will consist of number N on each line.

#### Output

For each test case, output is a number.

#### Sample Input

3
34
156
893

#### Sample Output

6
0
13

#### Solution

The idea is to print the remainder that is obtained when the number N is divided by the sum of digits of number N.

//
//  main.cpp
//  Reinfected
//
//  Created by Himanshu on 20/02/22.
//

#include <iostream>
using namespace std;

int main() {
int T;
cin>>T;

while (T--) {
int num, sum = 0, dgt, ans;
cin>>num;

int temp = num;

while (temp > 0) {
dgt = temp % 10;
sum+=dgt;
temp = temp/10;
}

ans = num%sum;
cout<<ans<<endl;
}
return 0;
}


Time Complexity: O(log(n))