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: Wrong Answer)

#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define endl "\n"
#define MOD 1000000007
using namespace std;

void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(bool x) {cerr << (x ? "true" : "false");}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}

template<typename T, typename V> 
void __print(const pair<T, V> &x)
{
	cerr << '{'; __print(x.first);
	cerr << ','; __print(x.second);
	cerr << '}';
}

template<typename T>
void __print(const T &x)
{
	int f = 0;
	cerr << '{';
	for (auto &i : x)
		cerr << (f++ ? "," : ""), __print(i);
	cerr << "}";
}

void _print()
{
	cerr << "]\n";
}

template <typename T, typename... V>
void _print(T t, V... v)
{
	__print(t);
	if (sizeof...(v))
		cerr << ", "; _print(v...);
}

#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.precision(10);
    

	ll n,a,b;
	cin >> n >> b >> a;

	ll alpha=a+b;
	ll k=n/alpha;
	ll l=n%alpha;

	ll ans=k*b;
	if (l>b)
	{
		ans=ans+a;
	}
	else
	{
		ans=ans+l;
	}
	cout << ans << endl;
	return 0;
}