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>
typedef long long ll;
const int INF = 1e9;
const int MOD = 1e9 + 7;
using namespace std;

//ループマクロ
#define FOR(i , a , b)  for(int i = (a) ; i < (b) ; i++)
#define REP(i , n)      for(int i = 0 ; i < n ; i++)
#define REPR(i , n)     for(int i = n ; 0 <= i ; i--)
#define ROP(i, n)       for(int i = 1 ; i <= n ; i++)

//入出力
#define SCOUT(x) cout << (x) << " "
#define VECCIN(x) for(auto& ele : (x) ) cin >> ele
#define VECOUT(x) for(auto& ele : (x) ) cout << ele << " "; cout << endl;

//その他
#define ALL(obj) (obj).begin() , (obj).end() 
#define SORT(obj) sort(ALL(obj))
#define GSORT(obj) sort(ALL(obj) , greater<int>())
#define P pair<int , int>
#define V vector<int>
#define VLL vector<long long>
#define M map<int, int>
#define S set<int>
#define PQ priority_queue<int>
#define PQG priority_queue<int , V , greater<int>>

int main(void) {

	ios::sync_with_stdio(false);	cin.tie(0);
    string N;  cin >> N;
    ll sum = 0;
    for(int i = 0 ; i < N.length() ; i++)
      sum += (N[i] - '0');

    if(sum % 9 == 0)  cout << "Yes" << endl;
    else              cout << "No"  << endl;

	return 0;
}