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 sys,math
from collections import deque,defaultdict
import operator as op
from functools import reduce

#sys.setrecursionlimit(10**6) 

I=sys.stdin.readline

 #s="abcdefghijklmnopqrstuvwxyz"

"""
x_move=[-1,0,1,0,-1,1,1,-1]
y_move=[0,1,0,-1,1,1,-1,-1]
"""
def ii():
	return int(I().strip())
def li():
	return list(map(int,I().strip().split()))
def mi():
	return map(int,I().strip().split())

"""def ncr(n, r):
    r = min(r, n-r)
    numer = (reduce(op.mul, range(n, n-r, -1), 1))%(10**9+7)
    denom = (reduce(op.mul, range(1, r+1), 1))%(10**9+7)
    return (numer // denom)%(10**9+7)"""
def ncr(n, r, p):
    # initialize numerator
    # and denominator
    num = den = 1
    for i in range(r):
        num = (num * (n - i)) % p
        den = (den * (i + 1)) % p
    return (num * pow(den, 
            p - 2, p)) % p
 

def gcd(x, y):
    while y:
        x, y = y, x % y
    return x

def valid(row,col,rows,cols,rcross,lcross):
 	return rows[row]==0 and cols[col]==0 and rcross[col+row]==0 and lcross[col-row]==0


def div(n):
	tmp=[]
	for i in range(2,int(n**.5)+1):
		if n%i==0:
			cnt=0
			while(n%i==0):
				n=n//i 
				cnt+=1
			tmp.append((i,cnt))
	if n>1:
		tmp.append((n,1))
	return tmp

def isPrime(n):
	if n<=1:
		return False
	elif n<=2:
		return True
	else:
		flag=True
		for i in range(2,int(n**.5)+1):
			if n%i==0:
				flag=False
				break
		return flag

def s(b):
	ans=[]
	while b>0:
		tmp=b%10
		ans.append(tmp)
		b=b//10
	return ans


def main():
	s=I().strip()
	last1=-math.inf
	cnt4=0
	flag=0
	for i in range(len(s)):
		if s[i]=="1":
			last1=i
		elif s[i]=="4":
			if 2<i-last1:
				flag=1
				break
		else:
			flag=1
			break
	if flag:
		print("NO")
	else:
		print("YES")
	








	



	
		




	










	


	

	

		



		

		
		


	
	

		
	

		




		




			












			
		
			



		


	
			
						
			








	





			
		



	
			





	

























	
	
	





if __name__ == '__main__':
	main()