Let's denote the function $f(x)$ which takes non-negative integers $x$ as input as the sum of digits of $x$. Calculate:
$$
\sum_{i = L}^{R}f(i)
$$
### Input
- A single line contains 2 integers $L,R$.
### Output
- Print the result.
### Constraints
- $0 \le L\le R \le 10^{12}$.
### Example
Input:
```
9 11
```
Output:
```
12
```