Problem: You are given a non-negative integer n, its decimal representation consists of at most 100 digits and doesn't contain leading zeroes.

Your task is to determine if it is possible in this case to remove some of the digits (possibly not remove any digit at all) so that the result contains at least one digit, forms a non-negative integer, doesn't have leading zeroes and is divisible by 8. After the removing, it is forbidden to rearrange the digits.

If a solution exists, you should print it.

Input

The single line of the input contains a non-negative integer n. The representation of number n doesn't contain any leading zeroes and its length doesn't exceed 100 digits. 

Output

Print "NO" (without quotes), if there is no such way to remove some digits from number n. 

Otherwise, print "YES" in the first line and the resulting number after removing digits from number n in the second line. The printed number must be divisible by 8.

If there are multiple possible answers, you may print any of them.

Examples

Input

3454


Output

YES
344


Input

10


Output

YES
0


Input

111111


Output

NO

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.OutputStream;
import java.util.Arrays;
import java.io.InputStreamReader;
import java.io.FileNotFoundException;
import java.io.File;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.BufferedReader;
import java.io.UnsupportedEncodingException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author MaxHeap
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastReader in = new FastReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        DivisibilityByEight solver = new DivisibilityByEight();
        solver.solve(1, in, out);
        out.close();
    }

    static class DivisibilityByEight {
        int[][] dp;
        char[] s;

        int f(int i, int cur) {
            if (cur >= 0) {
                if (cur == 0 || cur % 8 == 0) {
                    return cur;
                }
            }
            if (i >= s.length) return -1;
            if (cur >= 0 && dp[i][cur] >= 0) return dp[i][cur];
            int ans = -1;
            ans = Math.max(ans, f(i + 1, cur));
            if (Math.max(cur, 0) * 10 + s[i] - '0' <= 1000)
                ans = Math.max(ans, f(i + 1, Math.max(cur, 0) * 10 + s[i] - '0'));
            return dp[i][Math.max(cur, 0)] = ans;
        }

        public void solve(int testNumber, FastReader in, OutputWriter out) {
            s = in.next().toCharArray();
            dp = new int[s.length][1010];
            for (int[] temp : dp) Arrays.fill(temp, -1);
            int ans = f(0, -1);
            if (ans >= 0) {
                out.println("YES");
                out.println(ans);
            } else {
                out.println("NO");
            }
        }

    }

    static class OutputWriter extends PrintWriter {
        public OutputWriter(OutputStream os, boolean autoFlush) {
            super(os, autoFlush);
        }

        public OutputWriter(Writer out) {
            super(out);
        }

        public OutputWriter(Writer out, boolean autoFlush) {
            super(out, autoFlush);
        }

        public OutputWriter(String fileName) throws FileNotFoundException {
            super(fileName);
        }

        public OutputWriter(String fileName, String csn) throws FileNotFoundException, UnsupportedEncodingException {
            super(fileName, csn);
        }

        public OutputWriter(File file) throws FileNotFoundException {
            super(file);
        }

        public OutputWriter(File file, String csn) throws FileNotFoundException, UnsupportedEncodingException {
            super(file, csn);
        }

        public OutputWriter(OutputStream out) {
            super(out);
        }


        public void flush() {
            super.flush();
        }


        public void close() {
            super.close();
        }

    }

    static class FastReader {
        BufferedReader reader;
        StringTokenizer st;

        public FastReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream));
            st = null;
        }

        public String next() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    String line = reader.readLine();
                    if (line == null) {
                        return null;
                    }
                    st = new StringTokenizer(line);
                } catch (Exception e) {
                    throw new RuntimeException();
                }
            }
            return st.nextToken();
        }

    }
}