A number is considered beautiful if it is divisible by all of its digits. This also means that a beautiful number, in its decimal representation, does not contain the digit $0$.
Count the number of beautiful numbers in the range $[L, R]$.
### Input
- One line containing two integers $L, R$.
### Output
- Print an integer, the count of beautiful numbers.
### Constraints
- $1 \le L \le R \le 10^{18}$.
### Example
Input:
```
10 123
```
Output:
```
18
```