Submission #923724

#TimeUsernameProblemLanguageResultExecution timeMemory
923724vaneaBalloons (CEOI11_bal)C++14
100 / 100
164 ms2384 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

double calc_r(array<double, 2> a, double x) {
    return (a[0] - x) * (a[0] - x) / (4 * a[1]);
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    stack<array<double, 2>> s;
    cout << fixed << setprecision(5);
    for(int i = 0; i < n; i++) {
        double x, r;
        cin >> x >> r;
        double mx_r = r;
        while(!s.empty()) {
            auto last = s.top();
            double curr = calc_r(last, x);
            mx_r = min(mx_r, curr);
            if(mx_r >= last[1]) {
                s.pop();
                continue;
            }
            break;
        }
        s.push({x, mx_r});
        cout << mx_r << '\n';
    }
    return 0;
}
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