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
# codeforces 320-A. Magic Numbers
n=input()
num4=0
res = True
for idx,val in enumerate(n):
    if val =='4':
        if num4<2 and idx>0:
            num4+=1
        else:
            res=False
            break
    elif val =='1':
        num4=0
    else:
        res=False
        break
print('YES') if res else print('NO')
    
