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
/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */

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

public class cf320a {

    static BufferedReader br;
    static Scanner sc;
    static PrintWriter out;
    
    public static void initA() {
        try {
            br = new BufferedReader(new InputStreamReader(System.in));
            sc = new Scanner(System.in);
            out = new PrintWriter(System.out);
        } catch (Exception e) {
        }
    }
    
    static boolean next_permutation(Integer[] p) {
        for (int a = p.length - 2; a >= 0; --a) {
            if (p[a] < p[a + 1]) {
                for (int b = p.length - 1;; --b) {
                    if (p[b] > p[a]) {
                        int t = p[a];
                        p[a] = p[b];
                        p[b] = t;
                        for (++a, b = p.length - 1; a < b; ++a, --b) {
                            t = p[a];
                            p[a] = p[b];
                            p[b] = t;
                        }
                        return true;
                    }
                }
            }
        }
        return false;
    }
    
    public static String getString() {
        try {
            return br.readLine();
        } catch (Exception e) {
        }
        return "";
    }
    
    public static Integer getInt() {
        try {
            return Integer.parseInt(br.readLine());
        } catch (Exception e) {
        }
        return 0;
    }
    
    public static Integer[] getIntArr() {
        try {
            StringTokenizer temp = new StringTokenizer(br.readLine());
            int n = temp.countTokens();
            Integer temp2[] = new Integer[n];
            for (int i = 0; i < n; i++) {
                temp2[i] = Integer.parseInt(temp.nextToken());
            }
            return temp2;
        } catch (Exception e) {
        }
        return null;
    }
    
    public static Long[] getLongArr() {
        try {
            StringTokenizer temp = new StringTokenizer(br.readLine());
            int n = temp.countTokens();
            Long temp2[] = new Long[n];
            for (int i = 0; i < n; i++) {
                temp2[i] = Long.parseLong(temp.nextToken());
            }
            return temp2;
        } catch (Exception e) {
        }
        return null;
    }
    
    public static String[] getStringArr() {
        try {
            StringTokenizer temp = new StringTokenizer(br.readLine());
            int n = temp.countTokens();
            String temp2[] = new String[n];
            for (int i = 0; i < n; i++) {
                temp2[i] = (temp.nextToken());
            }
            return temp2;
        } catch (Exception e) {
        }
        return null;
    }
    
    public static void print(Object a) {
        out.println(a);
    }
    
    public static void print(String s, Object... a) {
        out.printf(s, a);
    }
    
    public static int nextInt() {
        return sc.nextInt();
    }
    
    public static double nextDouble() {
        return sc.nextDouble();
    }
    
    public static void main(String[] ar) {
        initA();
        cf320a c = new cf320a();
        c.solve();
        out.flush();
    }
    
    void solve() {
        HashSet<Long> sm = new HashSet<Long>();
        
        Queue<Long> q = new ArrayDeque<Long> ();
        q.add(0l);
        
        long p = getLongArr()[0];
    
        while(q.size()>0){
            long temp = q.remove();
            if(sm.contains(temp) || temp > p){
                continue;
            }
            sm.add(temp);
            q.add(temp*10+1);
            q.add(temp*100+14);
            q.add(temp*1000+144);            
        }
        //print("PRECOMP SELESAI");
        if(sm.contains(p)){
            print("YES");
            return;
        }
        
        print("NO");
        
    }
}
