This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#include <fstream>
#include <iostream>
#include <stack>
#include <queue>
#include <algorithm>
#include <vector>
#include <cassert>
#include <map>
#include <iomanip>
#define ll long long
#include <cmath>
using namespace std;
const int NMAX = 2e5;
struct Point
{
long double x, y;
void Read()
{
cin >> x >> y;
}
};
int n;
Point a[NMAX + 1];
long double answer[NMAX + 1];
Point st[NMAX + 1];
int indst;
long double Square(long double x)
{
return x * x;
}
long double Distance(Point p1, Point p2)
{
return sqrt(Square(p1.x - p2.x) - Square(p1.y - p2.y));
}
long double Radius(Point p1, Point p2)
{
return Square(p2.x - p1.x) / (4.0 * p1.y);
}
bool Okay(Point p1, Point p2)
{
return p1.y + p2.y <= Distance(p1, p2);
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i++)
a[i].Read();
for(int i = 1; i <= n; i++)
{
while(indst > 1 && !Okay({a[i].x, Radius(st[indst], a[i])}, st[indst - 1]) && Radius(st[indst], a[i]) <= a[i].y)
indst--;
if(indst > 0 && Radius(st[indst], a[i]) <= a[i].y)
a[i].y = Radius(st[indst], a[i]);
st[++indst] = a[i];
}
for(int i = 1; i <= n; i++)
cout << fixed << setprecision(3) << a[i].y << '\n';
return 0;
}
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