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;
#define rep(i,n) for(int i=0;i<(int)n;i++)
using Graph = vector<vector<int> >;
using GraphC = vector<vector<char> >;
const int INF = 1000000000;
typedef pair<int, int> P;
const int MAX_N = 200000;
const int MAX_L = 100000000;
const int MAX_SQRT_B = 10000;
typedef int64_t ll;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

string N;

int main() {
	cin >> N;
	ll tmp = 0;
	rep(i, N.size()) {
		tmp += N.at(i) - '0';
	}
	if (tmp%9==0)
	{
		cout << "Yes" << endl;
	}
	else {
		cout << "No" << endl;
	}
}