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 Java (OpenJDK 11.0.6) (judge verdict: Runtime Error)

package Test;

import java.util.*;
import java.math.*;

public class Main{
    void solve(){
        Scanner scan = new Scanner(System.in);
        BigInteger n = new BigInteger(scan.next());
        System.out.println(n.remainder(new BigInteger("9")).toString().equals("0") ? "Yes" : "No");
    }

    public static void main(String[] args){
        new Main().solve();
    }
}