Submission #1273897

#TimeUsernameProblemLanguageResultExecution timeMemory
1273897vk3601hBalloons (CEOI11_bal)C++20
100 / 100
89 ms8692 KiB
#include <bits/stdc++.h>
using namespace std;

long long square(long long x) {return x * x;}

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

    int balloon_num;
    cin >> balloon_num;

    vector<long long> x_axis(balloon_num), radius_amt(balloon_num);
    for (int i = 0; i < balloon_num; i++) cin >> x_axis[i] >> radius_amt[i];

    vector<long double> real_radius(balloon_num);
    stack<int> cands;
    for (int i = 0; i < balloon_num; i++){
        real_radius[i] = radius_amt[i];
        while (!cands.empty()){
            int last = cands.top();
            long double max_radius = square(x_axis[i] - x_axis[last]) / real_radius[last] / 4;
            real_radius[i] = min(real_radius[i], max_radius);

            if (real_radius[i] >= real_radius[last]) cands.pop();
            else break;
        }
        cands.push(i);
    }

    for (int i = 0; i < balloon_num; i++) cout << fixed << setprecision(6) <<  real_radius[i] << "\n";
    return 0;
}
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