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 C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main(){
  long long int N, A, B;
  scanf("%lld %lld %lld", &N, &A, &B);
  long long int period, count, focus, ans;
  if(A+B>N){
    if(A>N){
      ans = N;
    }else{
      ans = A;
    }
  }else{
    period = A+B;
    count = N/period;
    focus = N-count*period;
    printf("%lld % lld %lld\n", period, count, focus);
    if(focus>B){
      ans = A*count+A;
    }else{
      ans = A*count+focus;
    }
  }
  printf("%lld\n", ans);
  return 0;
}