Submission #919680

#TimeUsernameProblemLanguageResultExecution timeMemory
919680buzdiBalloons (CEOI11_bal)C++14
20 / 100
170 ms11324 KiB
//#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]))
            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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