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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

// @ts-nocheck
"use strict";
// https://atcoder.jp/contests/abc158/tasks/abc158_b

/** @param {string | string[]} input */
function main(input) {
    let x, y;
    input = input.trim().split(" ");
    let N = +input[0],
        A = +input[1],
        B = +input[2];

    x = Math.floor(N/(A+B));
    y = N%(A+B);
    y = y > A ? A : y;

    x = A*x+y;
    console.log(x);
}
main(require("fs").readFileSync("/dev/stdin", "utf8"));