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: Accepted)

    import java.util.*;
    import java.io.*;
     
    public class Main {
      public static void main(String[] args) throws IOException{
        BufferedReader rd = new BufferedReader(new InputStreamReader(System.in));
        int[] arr = new int[10];
        
        String s = rd.readLine();
        for (int i = 0; i < s.length(); i++) {
          int val = Integer.parseInt(Character.toString(s.charAt(i)));
          arr[val]++;
        }
        
        int sum = 0;
        for (int i = 1; i < 10; i++)
          	sum += (arr[i] * i);
        
        if (sum % 9 == 0)
          System.out.print("Yes");
        else
          System.out.print("No");
      }
    }