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++14 (GCC 5.4.1) (judge verdict: Accepted)

//大文字->小文字 tolower(),逆はtoupper()
//int a = stoi(c); 文字列をintへ
//途中の出力をそのまま残さない
//数値計算 個数以外はdouble
//map<キー,値> p は辞書。p[キー] = 値
//map 全探索
//auto begin = p.begin(), end = p.end();
//for (auto it = begin; it != end; i++) {}
//mapのキー：it->first mapのバリュー：it->second
//絶対値 abs()
//入力は空白で切れる
//大文字判定 isupper(文字) 小文字判定 islower(文字)
//do{}while(next_permutation(ALL(配列)))
#include <bits/stdc++.h>
#define rep(i,N) for(int i = 0; i < N;i++)
#define ALL(a) (a).begin(),(a).end()
#define ll long long int
using namespace std;

// K進数でのNの桁数
ll dig(ll N,ll K) {
	ll dig = 0;
	while (N) {
		dig++;
		N /= K;
	}
	return dig;
}
// x,yの最大公約数
ll gcd(ll x, ll y) {
	ll r;
	while (x%y) {
		r = x % y;
		x = y;
		y = r;
	}
	return y;
}

int main() {
	ll N, A, B; cin >> N >> A >> B;

	ll cnt = N / (A + B);
	ll x = N - cnt * (A + B);

	if (x <= A)cout << cnt * A  + x<< endl;
	else cout << cnt * A + A<< endl;
}