제출 #448358

#제출 시각아이디문제언어결과실행 시간메모리
448358four_specksBalloons (CEOI11_bal)C++17
100 / 100
242 ms10088 KiB
#include <bits/stdc++.h>

using namespace std;

double dist(const double &x1, const double &y1, const double &x2)
{
    double dx = (x2 - x1);
    return dx * dx / (4 * y1);
}

void solve()
{
    struct elem
    {
        double x, r;
    };

    int n;
    cin >> n;

    vector<elem> a(n);
    for (int i = 0; i < n; i++)
        cin >> a[i].x >> a[i].r;

    vector<double> radii(n);

    stack<int> st;
    for (int i = 0; i < n; i++)
    {
        double sz = a[i].r;
        while (!st.empty())
        {
            int u = st.top();
            sz = min(sz, dist(a[u].x, radii[u], a[i].x));
            if (sz >= radii[u])
                st.pop();
            else
                break;
        }

        st.emplace(i);
        radii[i] = sz;
    }

    cout << fixed << setprecision(3);
    for (int i = 0; i < n; i++)
        cout << radii[i] << '\n';
}

int main()
{
    ios_base::sync_with_stdio(false), cin.tie(NULL);

    solve();

    return 0;
}
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