Problem:
Score : 200 points

Problem Statement

An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.

Determine whether N is a multiple of 9.

Constraints

0 \leq N < 10^{200000}

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If N is a multiple of 9, print Yes; otherwise, print No.

Sample Input 1

123456789

Sample Output 1

Yes

The sum of these digits is 1+2+3+4+5+6+7+8+9=45, which is a multiple of 9, so 123456789 is a multiple of 9.

Sample Input 2

0

Sample Output 2

Yes

Sample Input 3

31415926535897932384626433832795028841971693993751058209749445923078164062862089986280

Sample Output 3

No

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
#define rep(i, n) for (int i = 0; i < (n); i++)
typedef pair<int, int> P;

const long double EPS = 1e-10;
const long long INF = 1e18;
const int MOD = (int)1e9 + 7;
const long double PI = acos(-1.0L);

int main() {  // TODO
  string N;
  cin >> N;
  long t = 0;
  rep(i, N.length()) t += N[i] - 48;

  if (t % 9 == 0) {
    cout << "Yes" << endl;
  } else {
    cout << "No" << endl;
  }

  return 0;
}