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<iostream>
#include<bits/stdc++.h>
using namespace std;
unsigned long long inf = 0;
int main(){
	char ch;
	string str;
	cin>>str;
	if(str=="0"){cout<<"Yes"<<endl;return 0;}
	int leng=str.length();
	for(int i=0;i<str.length();i++){
		inf += str[i]-'0';
		inf %= 9;
	}
	if(!inf){
		cout<<"Yes"<<endl;
	}
	else cout<<"No"<<endl;
	return 0;
}