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: Wrong Answer)

#include <iostream>
#include <string>
#include <stdlib.h>
#include <cstdlib>
using namespace std;


int main(){
	string N;
	bool judge = false;
	cin >> N;
	
	int sum = 0;
	for(int i=0; i<(int)N.size(); i++){
		sum += (N[i] - '0');
	}
	if((sum % 9) == 0 && sum != 0) judge = true;
	
	cout << (judge ? "Yes" : "No");
	return 0;
}