Submission #1300801

#TimeUsernameProblemLanguageResultExecution timeMemory
1300801zowiBalloons (CEOI11_bal)C++20
10 / 100
182 ms6820 KiB
#include <bits/stdc++.h>
using namespace std;

vector<pair<double,double>> tab;
const double eps = 1e-7;

bool czy(double a, double r)
{
    double x = tab.back().first - a;
    double r_prev = tab.back().second;
    double dy = r - r_prev;
    double sum = r + r_prev;
    return x*x + dy*dy < sum*sum; // true if intersects
}

double find_best_radius(double a, double b)
{
    if (tab.empty()) return b;

    double low = 0.0;
    double high = b;

    // max radius does not intersect → return it
    if (!czy(a, high)) return high;

    for (int i = 0; i < 60; ++i)
    {
        double mid = (low + high) / 2.0;
        if (czy(a, mid)) high = mid;
        else low = mid;
    }
    return low;
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int n;
    cin >> n;
    vector<double> wyn;

    for (int i = 0; i < n; ++i)
    {
        double a, b;
        cin >> a >> b;

        double r_final = find_best_radius(a, b);

        // Pop all previous circles that intersect the new one
        while (!tab.empty() && czy(a, r_final))
            tab.pop_back();

        wyn.push_back(r_final);
        tab.push_back({a, r_final});
    }

    cout << fixed << setprecision(3);
    for (double v : wyn)
        cout << v << '\n';

    return 0;
}
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