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
from __future__ import division
import sys
from collections import namedtuple #x=namedtuple('point','x y')
from math import *
from collections import deque, OrderedDict #append #popleft
from fractions import gcd
from copy import copy ,deepcopy
from collections import Counter #Counter(list)
import re #re.split("[^a-zA-Z]",text)
# from functools import lru_cache #@lru_cache(maxsize = None)
"""
#reduce(func,list)
#map(func,list)
#filter(func,list)
#xor=lambda x,y :x^y
#sign = lambda x: math.copysign(1, x)
#list.reverse() 
#list.sort() list=sorted(list)
list.sort(key=operator.itemgetter(1,2))
#reverse word word[::-1]
#word.islower()
#word.lower() word.upper()
x = x1 if exp1 else x2
any([false,true])
all([true,false])
"a".isalpha()
"1".isdigit()
int(str,base)
"""

fin=sys.stdin ;fout=sys.stdout 
# fin=open('../in','r') ; fout=open('../out','w')
def readline():
    return fin.readline().strip()
def readstrings():
    return fin.readline().strip().split(' ')
def writeline(value):
    fout.write(str(value))
    fout.write("\n")
def read_integers():
    return [int(x) for x in fin.readline().strip().split(' ')]
def read_integer():
    return int(fin.readline().strip())
def end():
    sys.exit()

word=readline()


p=0

while (p<len(word)):
    if word[p:p+3]=='144':
        p+=3
    elif word[p:p+2]=='14':
        p+=2
    elif word[p:p+1]=='1':
        p+=1
    else:
        writeline("NO")
        end()
if p==len(word):
    writeline("YES")
    