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 javax.swing.*;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.lang.reflect.Array;
import java.util.*;

public class simple implements Runnable {


    public void run() {

        InputReader input = new InputReader(System.in);
        PrintWriter w = new PrintWriter(System.out);
       
        String s = input.next();
        
        
        int flag=0;
        int n =s.length();
        String ans="";
        for(int i=0;i<n;i++)
        {
        	if(s.charAt(i)=='8' || s.charAt(i)=='0' && flag==0)
        	{
        		flag=1;
        		ans=ans + s.charAt(i);
        		break;
        	}
        }
        
        if(flag==0)
        {
        	for(int i=0;i<n-1;i++)
        	{
        		if(flag==0)
        		for(int j=i+1;j<n;j++)
        		{
        			int temp  = (s.charAt(i)-'0')*10 + (s.charAt(j)-'0');
        			if(temp%8==0)
        			{
        				flag=1;
        				ans=ans + s.charAt(i)+s.charAt(j);
        				break;
        			}
        		}
        	}
        }
        
        if(flag==0)
        {
        	for(int i=0;i<n-2;i++)
        	{
        		if(flag==0)
        		for(int j=i+1;j<n-1;j++)
        		{
        			if(flag==0)
        			for(int k=j+1;k<n;k++) {
        				
        				int temp  = (s.charAt(i)-'0')*100 + (s.charAt(j)-'0')*10 + (s.charAt(k)-'0');
        			if(temp%8==0)
        			{
        				flag=1;
        				ans=ans + s.charAt(i)+s.charAt(j) +s.charAt(k);
        				break;
        			}
        			}
        		}
        	}
        }
        if(flag==1)
        {
        	System.out.println("YES");
        	System.out.println(ans);
        	
        }
        else
        	System.out.println("NO");
        
         
    }
class Sorting implements Comparator<pair>
{
	public int compare(pair one, pair two)
	{
		if(one.a>two.a)
			return 1;
		else if(one.a==two.a)
			return 0;
		else 
			return -1;
				
	}
}
class pair
{
	int a;
	int b;
	
	pair(int a ,int b)
	{
		this.a=a;
		this.b=b;
	}
		
}

    class Graph{
        private final int v;
        private List<List<Integer>> adj;
        Graph(int v){
            this.v = v;
            adj = new ArrayList<>(v);
            for(int i=0;i<v;i++){
                adj.add(new LinkedList<>());
            }
        }
        private void addEdge(int a,int b){
            adj.get(a).add(b);
        }
        private boolean isCyclic()
        {
            boolean[] visited = new boolean[v];
            boolean[] recStack = new boolean[v];
            for (int i = 0; i < v; i++)
                if (isCyclicUtil(i, visited, recStack))
                    return true;

            return false;
        }
        private boolean isCyclicUtil(int i, boolean[] visited, boolean[] recStack)
        {
            if (recStack[i])
                return true;
            if (visited[i])
                return false;
            visited[i] = true;
            recStack[i] = true;
            List<Integer> children = adj.get(i);
            for (Integer c: children)
                if (isCyclicUtil(c, visited, recStack))
                    return true;
            recStack[i] = false;
            return false;
        }
    }
    public static void sortbyColumn(int arr[][], int col)
    {

        Arrays.sort(arr, new Comparator<int[]>()
        {
            public int compare(int[] o1, int[] o2){
                return(Integer.valueOf(o1[col]).compareTo(o2[col]));
            }
        });

    }
    static long gcd(long a, long b)
    {
        if (b == 0)
            return a;
        return gcd(b, a % b);
    }
    public static class DJSet {
        public int[] upper;

        public DJSet(int n) {
            upper = new int[n];
            Arrays.fill(upper, -1);
        }

        public int root(int x) {
            return upper[x] < 0 ? x : (upper[x] = root(upper[x]));
        }

        public boolean equiv(int x, int y) {
            return root(x) == root(y);
        }

        public boolean union(int x, int y) {
            x = root(x);
            y = root(y);
            if (x != y) {
                if (upper[y] < upper[x]) {
                    int d = x;
                    x = y;
                    y = d;
                }
                upper[x] += upper[y];
                upper[y] = x;
            }
            return x == y;
        }
    }
    public static int[] radixSort(int[] f)
    {
        int[] to = new int[f.length];
        {
            int[] b = new int[65537];
            for(int i = 0;i < f.length;i++)b[1+(f[i]&0xffff)]++;
            for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];
            for(int i = 0;i < f.length;i++)to[b[f[i]&0xffff]++] = f[i];
            int[] d = f; f = to;to = d;
        }
        {
            int[] b = new int[65537];
            for(int i = 0;i < f.length;i++)b[1+(f[i]>>>16)]++;
            for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];
            for(int i = 0;i < f.length;i++)to[b[f[i]>>>16]++] = f[i];
            int[] d = f; f = to;to = d;
        }
        return f;
    }
    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;
        private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars==-1)
                throw new InputMismatchException();

            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                }
                catch (IOException e) {
                    throw new InputMismatchException();
                }

                if(numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            }
            catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
        public int nextInt() {
            int c = read();

            while(isSpaceChar(c))
                c = read();

            int sgn = 1;

            if (c == '-') {
                sgn = -1;
                c = read();
            }

            int res = 0;
            do {
                if(c<'0'||c>'9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));

            return res * sgn;
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;

            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
            return res * sgn;
        }

        public double nextDouble() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, nextInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') {
                c = read();
                double m = 1;
                while (!isSpaceChar(c)) {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            }
            while (!isSpaceChar(c));

            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public String next() {
            return readString();
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
    public static void main(String args[]) throws Exception {
        new Thread(null, new simple(),"TaskA",1<<26).start();
    }
}