p02754 AtCoder Beginner Contest 158 - Count Balls
Takahashi has many red balls and blue balls. Now, he will place them in a row.

Initially, there is no ball placed.

Takahashi, who is very patient, will do the following operation 10^{100} times:

* Place A blue balls at the end of the row of balls already placed. Then, place B red balls at the end of the row.



How many blue balls will be there among the first N balls in the row of balls made this way?

Constraints

* 1 \leq N \leq 10^{18}
* A, B \geq 0
* 0 < A + B \leq 10^{18}
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N A B


Output

Print the number of blue balls that will be there among the first N balls in the row of balls.

Examples

Input

8 3 4


Output

4


Input

8 0 4


Output

0


Input

6 2 4


Output

2
```python
n,a,b = map(int,input().split())
print((n//(a+b)) * a + min((n%(a+b),a)))
```