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

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