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 1.8.0) (judge verdict: Runtime Error)

import java.io.*;
import java.util.Scanner;

public class Main
{
	public static void main (String[] args) throws java.lang.Exception
	{
	    Scanner in = new Scanner(System.in);
		int num = 0;
		num = in.nextInt();
		if (num >=0 && num < Math.pow(10,200000)){
		    if(num%9 == 0){
		        System.out.println("yes");
		    }else{
		        System.out.println("no");
		    } 
		}else{
		    System.out.println("no");
		}
	}
}