A magic number is a number formed by concatenation of numbers 1, 14 and 144. We can use each of these numbers any number of times. Therefore 14144, 141414 and 1411 are magic numbers but 1444, 514 and 414 are not.

You're given a number. Determine if it is a magic number or not.

Input

The first line of input contains an integer n, (1 ≤ n ≤ 109). This number doesn't contain leading zeros.

Output

Print "YES" if n is a magic number or print "NO" if it's not.

Examples

Input

114114


Output

YES


Input

1111


Output

YES


Input

441231


Output

NO
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

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

    static class TaskA {
        public void solve(int testNumber, FReader in, PrintWriter out) {
            char[] s = in.next().toCharArray();
            if(s[0] == '4') {
                out.print("NO");
                return;
            }

            char last = 0;
            for(int i = 0, cnt = 0; i < s.length; ++i) {
                char ch = s[i];
                if((ch != '4' && ch != '1') || (last == '4' && cnt > 2)) {
                    out.print("NO");
                    return;
                }

                if(ch == last) {
                    ++cnt;
                    if(last == '4' && cnt > 2) {
                        out.print("NO");
                        return;
                    }
                } else {
                    cnt = 1;
                    last = ch;
                }
            }

            out.print("YES");
        }

    }

    static class FReader {
        private BufferedReader  r;
        private String          line;
        private StringTokenizer st;
        private String          token;

        public FReader() {
            this(System.in);
        }

        public FReader(InputStream i) {
            r = new BufferedReader(new InputStreamReader(i));
        }

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

        private String peekToken() {
            if(token == null)
                try {
                    while(st == null || !st.hasMoreTokens()) {
                        line = r.readLine();
                        if(line == null) return null;
                        st = new StringTokenizer(line);
                    }
                    token = st.nextToken();
                } catch(IOException e) { }
            return token;
        }

        private String nextToken() {
            String ans = peekToken();
            token = null;
            return ans;
        }

    }
}

