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)

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

#define sz(x) ((int)(x).size())
#define in(x) int x;cin>>x
#define inn(x, y) int x,y;cin>>x>>y
#define innn(x, y, z) int x,y,z;cin>>x>>y>>z
#define bit(n) (1<<(n))

#define out(x) cout<<(x)<<endl;
#define outt(x,y) cout<<(x)<<" "<<(y)<<endl;
#define err(x) cerr<<(x)<<endl;
#define errr(x,y) cerr<<(x)<<" "<<(y)<<endl;
#define errrr(x,y,z) cerr<<(x)<<" "<<(y)<<" "<<(z)<<endl;

#define rep(i,n) for (int i=0;i<(n);i++)
#define repp(i,n) for (int i=1;i<=(n);i++)
#define reppp(j, i, n) for (int j=i+1; j<n; j++)

#define lim5 100002
#define lim9 1000000002

#define deg(rad) (((rad)/2/M_PI)*360)
#define mid(min, max) ((min + max) / 2)

int main() {
	ll n, b, r;
	cin >> n >> b >> r;

	ll ans = 0;
	ans += n / (b + r) * b;

	if (n % (b + r) < b) {
		ans += n % (b + r);
	}
	else {
		ans += b;
	}

	out(ans);


	return 0;
}