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: Accepted)

    #include <stdio.h>
     
    int main(){
        long long  a;
        long long  b;
        long long  n;
     
        scanf("%lld %lld %lld",&n,&a,&b);
        long long k=n/(a+b); //ciclosCompletos
        long long   mod=n%(a+b); //sobra
        long long nbas,res; //numero de bolas azuis q sobraram,r=resposta
     

            
        if(mod<a)
            nbas = mod;
        else
            nbas = a;
     
        res = k*a + nbas;
     
        printf("%lld",res);
     
     
     
        return 0;
     
    }