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 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>

using namespace std;

#define sim template <class c
#define ris return *this
#define dor > debug &operator<<
#define eni(x)                                                                        \
	sim > typename enable_if<sizeof dud<c>(0) x 1, debug &>::type operator<<(c i) \
	{
sim > struct rge
{
	c b, e;
};
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c *x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug
{
#ifdef LOCAL
	~debug()
	{
		cerr << endl;
	}
	eni(!=) cerr << boolalpha << i;
	ris;
} eni(==) ris << range(begin(i), end(i));
}
sim, class b dor(pair<b, c> d)
{
	ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d)
{
	*this << "[";
	for (auto it = d.b; it != d.e; ++it)
		*this << ", " + 2 * (it == d.b) << *it;
	ris << "]";
}
#else
	sim dor(const c &)
	{
		ris;
	}
#endif
}
;
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "

#define forn(i, n) for (int i = 0; i < int(n); i++)
#define rfor(n, i) for (ll i = (n - 1); i >= 0; --i)
#define all(V) V.begin(), V.end()
#define rall(V) V.rbegin(), V.rend()
#define len(V) (int)V.size()
#define ll long long
#define ld long double
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define endl '\n'
#define M_PI 3.14159265358979323846
#define EPS 1e-7

const int MAX_N = 1e5 + 7;


void solve()
{
        ll n, b, r; cin >> n >> b >> r;
        if (n % (b + r) == 0)
        {
                cout << (n / (r + b)) * b << endl;
        }
        else cout << (n / (r + b)) * b + (n - (b + r) % n)<< endl;
}

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	solve();
}