Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

8 3 4

Sample Output 1

4

Let b denote a blue ball, and r denote a red ball. The first eight balls in the row will be bbbrrrrb, among which there are four blue balls.

Sample Input 2

8 0 4

Sample Output 2

0

He placed only red balls from the beginning.

Sample Input 3

6 2 4

Sample Output 3

2

Among bbrrrr, there are two blue balls.

Solution in PHP7 (7.0.15) (judge verdict: Runtime Error)

<?php
// Your code here!
// $s = trim(fgets(STDIN));
fscanf(STDIN, "%d %d %d", $n,$a,$b);
// echo str_repeat("a",3);
$strlen = "";
// for(){
while(strlen($strlen) < $n){
    $strlen .= str_repeat("a",$a);
    if(strlen($strlen) >= $n){
        break;
    }else{
        $strlen .= str_repeat("b",$b);
    }
}
// var_dump($strlen);
$stra = substr($strlen, 0, $n);
echo mb_substr_count($stra, "a");

?>