Problem:
Score : 200 points

Problem Statement

Let S(n) denote the sum of the digits in the decimal notation of n.
For example, S(101) = 1 + 0 + 1 = 2.

Given an integer N, determine if S(N) divides N.

Constraints

1 \leq N \leq 10^9

Input

Input is given from Standard Input in the following format:

N

Output

If S(N) divides N, print Yes; if it does not, print No.

Sample Input 1

12

Sample Output 1

Yes

In this input, N=12.
As S(12) = 1 + 2 = 3, S(N) divides N.

Sample Input 2

101

Sample Output 2

No

As S(101) = 1 + 0 + 1 = 2, S(N) does not divide N.

Sample Input 3

999999999

Sample Output 3

Yes

Solution in C++ (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>
using namespace std;
int main(){
  int n,x;
  cin>>n;
  x=-9*(n/1000000000+n/100000000+n/10000000+n/1000000+n/100000+n/10000+n/1000+n/100+n/10)+n;
  if(n%x==0)cout<<"Yes"<<endl;
  else cout<<"No"<<endl;
  return 0;
}