Problem: Mishka is decorating the Christmas tree. He has got three garlands, and all of them will be put on the tree. After that Mishka will switch these garlands on.

When a garland is switched on, it periodically changes its state — sometimes it is lit, sometimes not. Formally, if i-th garland is switched on during x-th second, then it is lit only during seconds x, x + ki, x + 2ki, x + 3ki and so on.

Mishka wants to switch on the garlands in such a way that during each second after switching the garlands on there would be at least one lit garland. Formally, Mishka wants to choose three integers x1, x2 and x3 (not necessarily distinct) so that he will switch on the first garland during x1-th second, the second one — during x2-th second, and the third one — during x3-th second, respectively, and during each second starting from max(x1, x2, x3) at least one garland will be lit.

Help Mishka by telling him if it is possible to do this!

Input

The first line contains three integers k1, k2 and k3 (1 ≤ ki ≤ 1500) — time intervals of the garlands.

Output

If Mishka can choose moments of time to switch on the garlands in such a way that each second after switching the garlands on at least one garland will be lit, print YES.

Otherwise, print NO.

Examples

Input

2 2 3


Output

YES


Input

4 2 3


Output

NO

Note

In the first example Mishka can choose x1 = 1, x2 = 2, x3 = 1. The first garland will be lit during seconds 1, 3, 5, 7, ..., the second — 2, 4, 6, 8, ..., which already cover all the seconds after the 2-nd one. It doesn't even matter what x3 is chosen. Our choice will lead third to be lit during seconds 1, 4, 7, 10, ..., though.

In the second example there is no way to choose such moments of time, there always be some seconds when no garland is lit.

Solution (in JAVA):

Solution:
//>>>BaZ<<<//
import java.util.*;
import java.io.*;
import static java.lang.Math.*;
public class Main
{  
    static int dx[] = {-1,1,0,0};
    static int dy[] = {0,0,1,-1};
    static long MOD = 1000000007;
    static int INF = Integer.MAX_VALUE/10;
    static PrintWriter pw;
    static InputReader scan;
    //static MyFileReader1 ss;
    //static MyFileReader scan;
    static int ni() throws IOException{return scan.nextInt();}
    static long nl() throws IOException{return scan.nextLong();}
    static double nd() throws IOException{return scan.nextDouble();}
    static String ne() throws IOException{return scan.next();}
    static void pl() throws IOException {pw.println();}
    static void pl(Object o) throws IOException {pw.println(o);}
    static void p(Object o) throws IOException {pw.print(o+" ");}
    static void psb(StringBuilder sb) throws IOException {pw.print(sb);}
    public static void main(String[] args) {
        new Thread(null,null,"BaZ",99999999)
        {
            public void run()
            {
                try
                {
                    solve();
                }
                catch(Exception e)
                {  
                    e.printStackTrace();
                    System.exit(1);
                }
            }
        }.start();
    }
    static void solve() throws IOException
    {  
        Calendar CAL1 = Calendar.getInstance();
        CAL1.setTime(new Date());
        scan = new InputReader(System.in);
        pw = new PrintWriter(System.out,true);
        //pw = new PrintWriter(new File("C://Users/Aman deep/Desktop/output.txt"));  
        //ss = new MyFileReader1();
        //scan = new MyFileReader();
        StringBuilder sb = new StringBuilder();
        int a = ni();
        int b = ni();
        int c = ni();
        int cnt[] = new int[4];
        if(a<=4)
            cnt[a-1]++;
        if(b<=4)
            cnt[b-1]++;
        if(c<=4)
            cnt[c-1]++;
        if(cnt[0]>0 || cnt[1]>1 || cnt[2]>2 || (cnt[3]==2 && cnt[1]==1))
            pl("YES");
        else pl("NO");
        Calendar CAL2 = Calendar.getInstance();
        CAL2.setTime(new Date());
        double Execution_Time = (double)(CAL2.getTimeInMillis()-CAL1.getTimeInMillis())/1000.000;
        //System.out.println("Execution time : "+Execution_Time+" seconds");
        pw.flush();
        pw.close();
    }
    static class InputReader     //NoSuchElementException -> EOF
	{
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
		private SpaceCharFilter filter;
		
		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()
		{
			BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
			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);
		}
	}
    static class MyFileReader                                          //File input template
    {
        StringTokenizer st;
        BufferedReader br;
        MyFileReader() throws IOException
        {
            br = new BufferedReader(new FileReader("C://Users/Aman deep/Desktop/input.txt"));
        }
        String nextLine() throws IOException
        {
            return br.readLine();
        }
        String next() throws IOException
        {
            if(st==null || !st.hasMoreTokens())
                st = new StringTokenizer(nextLine());
            return st.nextToken();
        }
        int nextInt() throws IOException
        {
            return Integer.parseInt(next());
        }
        long nextLong() throws IOException
        {
            return Long.parseLong(next());
        }
        double nextDouble() throws IOException
        {
            return Double.parseDouble(next());
        }
    }
    static class MyFileReader1                                          //File input template
    {
        StringTokenizer st;
        BufferedReader br;
        MyFileReader1() throws IOException
        {
            br = new BufferedReader(new FileReader("C://Users/Aman deep/Desktop/output.txt"));
        }
        String nextLine() throws IOException
        {
            return br.readLine();
        }
        String next() throws IOException
        {
            if(st==null || !st.hasMoreTokens())
                st = new StringTokenizer(nextLine());
            return st.nextToken();
        }
        int nextInt() throws IOException
        {
            return Integer.parseInt(next());
        }
        long nextLong() throws IOException
        {
            return Long.parseLong(next());
        }
        double nextDouble() throws IOException
        {
            return Double.parseDouble(next());
        }
    }
}