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)

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

public class Main {

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tok;

        public InputReader(InputStream inputStream) {
            reader = new BufferedReader(new InputStreamReader(inputStream));
            tok = null;
        }

        public InputReader(String inputFile) throws FileNotFoundException {
            reader = new BufferedReader(new FileReader(inputFile));
            tok = null;
        }

        public String nextLine() {
            String c = "";
            try {
                c = reader.readLine();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }

            return c;
        }

        public String next() {
            while (tok == null || !tok.hasMoreTokens()) {
                try {
                    tok = new StringTokenizer(nextLine());
                } catch (Exception e) {
                    throw new RuntimeException(e);
                }
            }

            return tok.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public long nextLong() {
            return Long.parseLong(next());
        }

        public double nextDouble(){
            return Double.parseDouble(next());
        }
    }

    public static void main(String args[]) {
        InputStream inputstream = System.in;
        OutputStream outputstream = System.out;
        InputReader in = new InputReader(inputstream);
        PrintWriter out = new PrintWriter(outputstream);
        Task solver = new Task();
        solver.solve(in, out);
        out.flush();
    }

    static class Task {
        public void solve(InputReader in, PrintWriter out) {
            int n=in.nextInt();
            int sum;
            for (sum = 0; n > 0; sum += n % 10, n /= 10); 
            if(sum%9==0)
            out.println("Yes");
            else
            out.println("No");
        }
    }
}