浮点二分 加点要比eps小
//#pragma GCC optimize(2)
#include <cstdio>
#include <iostream>
#include <cstdlib>
#include <cmath>
#include <cctype>
#include <string>
#include <cstring>
#include <algorithm>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <ctime>
#include <vector>
#include <fstream>
#include <list>
#include <iomanip>
#include <numeric>
using namespace std;
typedef long long ll;
const int MAXN = 1e6 + 10;
const double eps = 1e-8;
double len, a, b;
int cal(double point)
{
double t1, t2, t3, t4, s1, s2, s3, s4, st1, st2;
t1 = point / b;
s1 = point - t1 * a;
t2 = s1 / (a + b);
s2 = len - point + t2 * b;
st1 = t1 + t2 + s2 / b;
st2 = t1 + (len - point) / a;
if(fabs(st1 - st2) < eps)
{
cout<<fixed<<setprecision(6)<<st1<<endl;
return 1;
}
else if(st1 - st2 > 0)
return 2;
else
return 3;
}
int main()
{
//ios::sync_with_stdio(false);
//cin.tie(0); cout.tie(0);
cin>>len>>a>>b;
double fst = 0, lst = len, mid;
while(lst - fst > -eps)
{
mid = (fst + lst) / 2;
double ct = cal(mid);
if(ct == 1)
{
break;
}
else if(ct == 2)
{
lst = mid - eps;
}
else if(ct == 3)
{
fst = mid + eps;
}
}
return 0;
}