320_A. Magic Numbers
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
```python
a=input()
result=1
if a[0]!='1':
    print('NO')
    result=0
else:
    for i in range(len(a)):
        if a[i]!='1' and a[i]!='4':
            print('NO')
            result=0
            break
    if result==1:
        length=len(a)
        for i in range(length-2):
            if a[i]=='4' and a[i+1]=='4' and a[i+2]=='4':
                print('NO')
                result=0
                break
if result==1:
    print('YES')
```