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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;

namespace AtCorder
{
    public static class Program
    {
        static public void Main(string[] args)
        {
            //int cnt = int.Parse(Console.ReadLine());
            long[] input=  Console.ReadLine().Split(' ').Select(long.Parse).ToArray();
            long devideAns = input[0] / (input[1] + input[2]);
            long cnt = 0;
            if (0 < input[1])
            {
                cnt = devideAns * input[1];
            }
            else 
            {
                cnt = 0;
            }
            long ex = input[0] % (input[1] + input[2]);

            if (ex < input[1])
            {
                cnt = ex + cnt;
            }
            else
            {
                cnt = input[1] + cnt;
            }

            Console.WriteLine(cnt.ToString());
            
            
        }
    }
}