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.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Random;
import java.util.StringTokenizer;


public class Main {

	static boolean visited[] ; 
	static boolean ends[] ;
	static long mod = 1000000007 ;
	static int lens[] ; 
	static int seeds[] ; 
	static int a[] ;
	static double total ; 
	public static ArrayList adj[] ; 
	public static void main(String[] args) throws IOException, InterruptedException {
		Scanner sc =  new Scanner(System.in) ;

		solve(sc.next());


		//String x = sc.next() ; 



	}
	static void solve(String x)
	{

		if(x.contains("8"))
		{System.out.println("YES");System.out.println("8"); return ;}
		else if(x.contains("0"))
		{System.out.println("YES");System.out.println("0"); return ;}

		if(!x.contains("2") && !x.contains("4") && !x.contains("6") )
		{System.out.println("NO"); return ;}

		for (int i = x.length()-1; i>0 ; i--)
		{
			int current = x.charAt(i)-48 ; 
			if(current ==6)
			{
				for (int j = i-1 ; j >=0; j--)
				{
					current = x.charAt(j)-48 ; 	
					if(current == 1 || current ==5 || current ==9)
					{
						{System.out.println("YES");System.out.println(current+""+6); return ;}

					}
				}
			}
		}
		for (int i = x.length()-1; i>0 ; i--)
		{
			int current = x.charAt(i)-48 ; 
			if(current ==6)
			{
				for (int j = i-1 ; j >=0; j--)
				{
					current = x.charAt(j)-48 ; 	
					if(current == 3 || current ==7)
					{
						int index = odd(x,j-1);
						if(index!=-1)
						{System.out.println("YES"); System.out.println(index+""+current+""+6); return ;}
					}
				}
			}
		}

		for (int i = x.length()-1; i>0 ; i--)
		{
			int current = x.charAt(i)-48 ; 
			if(current ==4)
			{
				for (int j = i-1 ; j >=0; j--)
				{
					current = x.charAt(j)-48 ; 	
					if(current == 2 || current ==6 )
					{
						{System.out.println("YES");System.out.println(current+""+4); return ;}

					}
				}
			}
		}

		for (int i = x.length()-1; i>0 ; i--)
		{
			int current = x.charAt(i)-48 ; 
			if(current ==4)
			{
				for (int j = i-1 ; j >=0; j--)
				{
					current = x.charAt(j)-48 ; 	
					if(current == 4 )
					{
						int index = odd(x,j-1);
						if(index!=-1)
						{System.out.println("YES");System.out.println(index+""+current+""+4); return ;}

					}
				}
			}
		}
		for (int i = x.length()-1; i>0 ; i--)
		{
			int current = x.charAt(i)-48 ; 
			if(current ==2)
			{
				for (int j = i-1 ; j >=0; j--)
				{
					current = x.charAt(j)-48 ; 	
					if(current == 3 || current ==7 )
					{
						{System.out.println("YES");System.out.println(current+""+2); return ;}

					}
				}
			}
		}

		for (int i = x.length()-1; i>0 ; i--)
		{
			int current = x.charAt(i)-48 ; 
			if(current ==2)
			{
				for (int j = i-1 ; j >=0; j--)
				{
					current = x.charAt(j)-48 ; 	
					if(current == 1 || current ==5 || current ==9)
					{
						int index = odd(x,j-1);
						if(index!=-1)
						{System.out.println("YES");System.out.println(index+""+current+""+2); return ;}
					}
				}
			}
		}

		System.out.println("NO");

	}
	static int even(String x , int b )
	{
		for (int j = b; j>=0; j--)
		{
			int current = x.charAt(j)-48 ; 
			if(current%2==0)
				return current ; 
		}
		return -1;
	}
	static int odd(String x , int b )
	{
		for (int j = b; j>=0; j--)
		{
			int current = x.charAt(j)-48 ; 
			if(current%2!=0)
				return current ; 
		}
		return -1;
	}
	static long pow(long base, int exp) {
		long res = 1;
		while(exp > 0) {
			if(exp % 2 == 1) {
				res = (res * base) % mod;
			}

			base = (base * base) % mod;
			exp /= 2;
		}

		return res;
	}
	public static long solve(int k1, long k2)
	{
		long x   = 1l*k2*(pow(2, k1)-1) ;
		return x%(1000000007) ; 
	}


	public static long getN(long x)
	{
		long n = (long) Math.sqrt(x*2) ; 
		long y = n*(n+1)/2; 
		if(y==x)
			return n ; 
		else if(y>x)
			return n ; 
		else
			for (long i = n; ; i++)
			{
				y = i*(i+1)/2 ; 
				if(y>=x)
					return i ; 


			}	}








	public static void dfss(int root , int len)
	{
		visited[root]=true ; 
		if(ends[root] && root!=0) lens[root] = len ; 

		for (int i = 0; i < adj[root].size(); i++)
		{
			int c= (int) adj[root].get(i) ; 
			if(visited[c]==false)
				dfss(c, len+1);
		}
	}

	public static void pr(int root ,  int seed){
		visited[root] = true ;
		int dv = adj[root].size()-1 ; 
		if(root==0) dv++ ;

		for (int i = 0; i < adj[root].size(); i++)
		{
			int c = (int)adj[root].get(i) ; 
			seeds[c]=dv*seed ;
		}

		for (int i = 0; i < adj[root].size() ; i++)
		{
			int c = (int)adj[root].get(i) ; 
			if(visited[c]==false)
				pr(c , seeds[c]);

		}

	}


	public static String concatinate(String s ,int n)
	{
		if(s.length()==n)
			return s ; 
		else return concatinate("0"+s, n) ;
	}
	static class Scanner {
		StringTokenizer st;
		BufferedReader br;

		public Scanner(InputStream s) {
			br = new BufferedReader(new InputStreamReader(s));
		}

		public String next() throws IOException {
			while (st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}

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

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

		public String nextLine() throws IOException {
			return br.readLine();
		}

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

		public boolean ready() throws IOException {
			return br.ready();
		}
	}


	public static long getGCD(long n1, long n2) {
		if (n2 == 0) {
			return n1;
		}
		return getGCD(n2, n1 % n2);
	}

	public static int cnt1(int mat[][])  //how many swaps to be a 1 matrix
	{
		int m = mat.length ; 
		int c=0 ; 
		for (int i = 0; i < mat.length; i++)
		{
			for (int j = 0; j < mat.length; j++)
			{
				int x =  (i*m) +j ;
				if(x%2==0 && mat[i][j]==0)
					c++; 
				if(x%2!=0 && mat[i][j]==1)
					c++; 

			}
		}
		return c;
	}
	public static int cnt0(int mat[][])
	{
		int m = mat.length ; 
		int c=0 ; 
		for (int i = 0; i < mat.length; i++)
		{
			for (int j = 0; j < mat.length; j++)
			{
				int x =  (i*m) +j ; 
				if(x%2!=0 && mat[i][j]==0)
					c++; 
				if(x%2==0 && mat[i][j]==1)
					c++; 

			}
		}
		return c;
	}

	public static boolean canFit2(int x1, int y1 , int x2 , int y2 , int x3 , int y3){
		if(x1==x2)
			if(x1==x3)
				return true ; 
			else
				return false ;
		else
			if(x1==x3)
				return false ; 
			else
			{
				long a = 1l*(y2-y1)*(x3-x2) ; 
				long b = 1l*(y3-y2)*(x2-x1) ; 

				if(a==b)
					return true;
				else 
					return false ;

			}

	}
	public static void shuffle(long[] a2){
		if(a2.length==1)
			return ; 
		for (int i = 0; i < a2.length; i++)
		{
			Random rand = new Random();

			int  n = rand.nextInt(a2.length-1) + 0;

			long temp = a2[i] ; 
			a2[i] = a2[n] ; 
			a2[n] = temp ;
		}
	}
	public static int binary(long[]arr, int l, int r, long x)   /// begin by 0 and n-1
	{
		if (r>=l)
		{
			int mid = l + (r - l)/2;
			if (arr[mid]== x)
				return mid;
			if (arr[mid]> x)
				return binary(arr, l, mid-1, x);
			return binary(arr, mid+1, r, x);
		}
		return -1;
	}

	/// searching for the index of first elment greater than x
	public static int binary1(long[]arr , long x) {
		int low = 0, high = arr.length; // numElems is the size of the array i.e arr.size() 
		while (low != high) {
			int mid = (low + high) / 2; // Or a fancy way to avoid int overflow
			if (arr[mid] <= x) {
				/* This index, and everything below it, must not be the first element
				 * greater than what we're looking for because this element is no greater
				 * than the element.
				 */
				low = mid + 1;
			}
			else {
				/* This element is at least as large as the element, so anything after it can't
				 * be the first element that's at least as large.
				 */
				high = mid;
			}
		}
		return low ; // return high ; 
	}


	private static boolean triangle(int a, int b , int c){
		if(a+b>c && a+c>b && b+c>a)
			return true ; 
		else 
			return false ;
	}
	private static boolean segment(int a, int b , int c){
		if(a+b==c || a+c==b && b+c==a)
			return true ; 
		else 
			return false ;
	}
	private static int gcdThing(long a, long b) {
		BigInteger b1 = BigInteger.valueOf(a);
		BigInteger b2 = BigInteger.valueOf(b);
		BigInteger gcd = b1.gcd(b2);
		return gcd.intValue();
	}

	public static boolean is(int i){
		if(Math.log(i)/ Math.log(2) ==(int) (Math.log(i)/ Math.log(2)))
			return true ; 
		if(Math.log(i)/ Math.log(3) ==(int) (Math.log(i)/ Math.log(3)) )
			return true ; 
		if(Math.log(i)/ Math.log(6) ==(int) (Math.log(i)/ Math.log(6)) )
			return true ; 

		return false;

	}
	public static boolean contains(int b[] , int x)
	{
		for (int i = 0; i < b.length; i++)
		{
			if(b[i]==x)
				return true ;
		}
		return false ;
	}
	public static int binary(long []arr , long target , int low , long shift) {
		int high = arr.length; 
		while (low != high) {
			int mid = (low + high) / 2; 
			if (arr[mid]-shift <= target) {
				low = mid + 1;
			}
			else {
				high = mid;
			}
		}
		return low ; // return high ; 
	}
	public static boolean isLetter(char x){
		if(x+0 <=122 && x+0 >=97 )
			return true ;
		else if (x+0 <=90 && x+0 >=65 )
			return true ; 
		else return false; 
	}
	public static long getPrimes(long x ){
		if(x==2 || x==3 || x==1)
			return 2 ;
		if(isPrime(x))
			return 5 ;
		for (int i = 2; i*i<=x; i++)
		{
			if(x%i==0 && isPrime(i))
				return getPrimes(x/i) ;
		}
		return -1;
	}
	public static String solve11(String x){

		int n = x.length() ; 
		String y = "" ;
		for (int i = 0; i < n-2; i+=2)
		{
			if(ifPalindrome(x.substring(i, i+2)))
				y+= x.substring(i, i+2) ;
			else 
				break ;
		}
		return y+ solve11(x.substring(y.length(),x.length())) ;

	}
	public static String solve1(String x){
		String y = x.substring(0 , x.length()/2) ; 
		return "" ;

	}
	public static String reverse(String x){
		String y ="" ;
		for (int i = 0; i < x.length(); i++)
		{
			y  = x.charAt(i) + y ;
		}
		return y ;
	}

	public static boolean ifPalindrome(String x){
		int numbers[] = new int[10] ; 
		for (int i = 0; i < x.length(); i++)
		{
			int z = Integer.parseInt(x.charAt(i)+"") ; 
			numbers[z] ++ ;
		}
		for (int i = 0; i < numbers.length; i++)
		{
			if(numbers[i]%2!=0)
				return false; 
		}
		return true ;	
	}

	public static int get(int n){
		return n*(n+1)/2 ; 
	}
	//		public static long getSmallestDivisor( long y){
	//			if(isPrime(y))
	//				return -1;
	//
	//			for (long i = 2; i*i <= y; i++)
	//			{
	//				if(y%i ==0)
	//				{
	//					return i;
	//				}
	//			}
	//			return -1;
	//		}
	public static int lis( int[]a , int n){
		int lis[] = new int[n] ; 
		Arrays.fill(lis,1) ; 

		for(int i=1;i<n;i++)
			for(int j=0 ; j<i; j++)
				if (a[i]>a[j] &&  lis[i] < lis[j]+1)   
					lis[i] = lis[j] + 1;           

		int max = lis[0];

		for(int i=1; i<n ; i++)
			if (max < lis[i])
				max = lis[i] ;
		return (max);

		//			ArrayList<Integer> s = new ArrayList<Integer>() ;
		//			for (int i = n-1; i >=0; i--)
		//			{
		//				if(lis[i]==max)
		//				{
		//					s.add(a[i].z);
		//					max --; 
		//				}
		//			}
		//
		//			for (int i = s.size()-1 ; i>=0 ;  i--)
		//			{
		//				System.out.print(s.get(i)+" ");
		//			}
		//
	}
	public static int calcDepth(Vertix node){
		if(node.depth>0) return node.depth; 
		// meaning it has been updated before;
		if(node.parent != null)
			return 1+ calcDepth(node.parent);
		else
			return -1;
	}

	public static boolean isPrime (long num){
		if (num < 2) return false;
		if (num == 2) return true;
		if (num % 2 == 0) return false;
		for (int i = 3; i * i <= num; i += 2)
			if (num % i == 0) return false;
		return true;
	}


	public static ArrayList<Long> getDiv(Long n)
	{
		ArrayList<Long>  f = new ArrayList<Long>() ; 

		while (n%2==0)
		{
			if(!f.contains(2))f.add((long) 2) ;
			n /= 2;
		}

		// n must be odd at this point.  So we can
		// skip one element (Note i = i +2)
		for (long i = 3; i <= Math.sqrt(n); i+= 2)
		{
			// While i divides n, print i and divide n
			while (n%i == 0)
			{
				if(!f.contains(i))f.add(i);
				n /= i;
			}
		}

		// This condition is to handle the case whien
		// n is a prime number greater than 2
		if (n > 2)
			if(!f.contains(n))f.add(n);


		return f ;



	}

	//		public static boolean dfs(Vertix v , int target){
	//			try{
	//				visited[v.i]= true ;
	//			} catch (NullPointerException e)
	//			{
	//				System.out.println(v.i);
	//			}
	//			if(v.i == target)
	//
	//				return true ;
	//			for (int i =0 ; i< v.neighbours.size() ; i++)
	//			{ 
	//
	//				Vertix child = v.neighbours.get(i) ;
	//				if(child.i == target){
	//					found = true  ; 
	//				}
	//				if(visited[child.i]==false){
	//					found |= dfs(child, target) ;
	//				}
	//			}
	//			return found; 
	//		}









	public static class Vertix{
		long i ; 
		int depth ;
		ArrayList<Vertix> neighbours ; 
		Vertix parent ; 
		Vertix child ; 


		public Vertix(long i){
			this.i = i ;
			this.neighbours = new ArrayList<Vertix> () ;
			this.parent = null ;
			depth =-1;
			this.child = null ;
		}
	}

	public static class pair implements Comparable<pair>{
		int index ;
		long value ;





		public pair(int x, long s ){

			this.index=x ; 
			this.value = s;

		}


		@Override
		public int compareTo(pair p) {
			if(this.value > p.value)
				return 1 ; 
			else if (this.value == p.value) 
				return 0 ;
			else 
				return -1 ;
		}




	}

	public static class pair2 implements Comparable<pair2>{
		int i ; 
		int j ;
		int index ; 

		public pair2(int i , int j , int index){
			this.i =i ;
			this.j = j ; 
			this.index = index ;
		}

		@Override
		public int compareTo(pair2 p) {
			if(this.j > p.j)
				return 1 ; 
			else if (this.j == p.j) return 0 ;
			else 
				return -1 ;
		}


	}


}