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.*;
import java.math.BigInteger;
import java.util.*;


//Mann Shah [ DAIICT ].
//fast io

public class Main {
	public static int mod = (int) (1e9 + 7);
	public static long inf = (long) 1e15 + 42;
	static InputReader in;
	static PrintWriter out;

	public static long gcd(long a, long b) {
		if (a == 0)
			return b;
		return gcd(b % a, a);
	}
	

	public static void main(String args[]) {

		in = new InputReader(System.in);
		out = new PrintWriter(System.out);
		
		String s = in.readString();
		int n = s.length();
		int ans=0;
		
			
		int f=0;
		for(int i=0;i<n;i++) {
			for(int j=i+1;j<n;j++) {
				for(int k=j+1;k<n;k++) {
					int x=0;
					x+=(s.charAt(i)-'0')*100;
					x+=(s.charAt(j)-'0')*10;
					x+=s.charAt(k)-'0';
					if( x% 8==0) {
						f=1;
						ans=x;
						break;
					}
				}
			}
		}
		
		if(f==0) {
			for(int i=0;i<n;i++) {
				for(int j=i+1;j<n;j++) {
					int y =0;
					y+=(s.charAt(i)-'0')*10;
					y+=(s.charAt(j)-'0');
					if(y%8==0) {
						f=1;
						ans=y;
						break;
					}
				}
			}
		}
		
		if(f==0) {
			for(int i=0;i<n;i++) {
				if(s.charAt(i)=='8' || s.charAt(i)=='0') {
					ans=s.charAt(i)-'0';
					f=1;
					break;
				}
			}
		}
		
		if(f==1) {
			out.println("YES");
			out.println(ans);
		}
		else {
			out.println("NO");
		}
	
		
		out.close();
	}

	static class InputReader {

		private final InputStream stream;
		private final byte[] buf = new byte[8192];
		private int curChar, snumChars;
		private SpaceCharFilter filter;

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

		public int snext() {
			if (snumChars == -1)
				throw new InputMismatchException();
			if (curChar >= snumChars) {
				curChar = 0;
				try {
					snumChars = stream.read(buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (snumChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}

		public int nextInt() {
			int c = snext();
			while (isSpaceChar(c)) {
				c = snext();
			}
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = snext();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = snext();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public long nextLong() {
			int c = snext();
			while (isSpaceChar(c)) {
				c = snext();
			}
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = snext();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = snext();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public int[] nextIntArray(int n) {
			int a[] = new int[n];
			for (int i = 0; i < n; i++) {
				a[i] = nextInt();
			}
			return a;
		}

		public long[] nextLongArray(int n) {
			long a[] = new long[n];
			for (int i = 0; i < n; i++) {
				a[i] = nextLong();
			}
			return a;
		}

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

		public String nextLine() {
			int c = snext();
			while (isSpaceChar(c))
				c = snext();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = snext();
			} while (!isEndOfLine(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;
		}

		private boolean isEndOfLine(int c) {
			return c == '\n' || c == '\r' || c == -1;
		}

		public interface SpaceCharFilter {
			public boolean isSpaceChar(int ch);
		}

	}

}

// For Pair sorting

// Arrays.sort(arr,new Comparator<Pair>() {
// @Override public int compare(Pair p1, Pair p2)
// {
// return p1.x - p2.x;
// }
// });

// Pair arr[] = new Pair[n];
// arr[0] = new Pair(10, 20);
class Pair {
	int x;
	int y;

	// Constructor
	public Pair(int x, int y) {
		this.x = x;
		this.y = y;
	}
	
	@Override
	public boolean equals(Object o) {
		Pair p =(Pair)o;
		return (x==p.x && y==p.y);
	}
}

// // Comparator to sort the pair according to first element.
// Arrays.sort(arr, new Comparator<Pair>() {
// @Override public int compare(Pair p1, Pair p2){
//  return p1.x - p2.x;
// }
// });

class couple implements Comparable<couple> {
	int x, y;

	public couple(int m, int f) {
		x = m;
		y = f;
	}

	public int compareTo(couple o) {

		return x - o.x;
	}
}