Submission #1116632

#TimeUsernameProblemLanguageResultExecution timeMemory
1116632pemguimnBalloons (CEOI11_bal)C++17
50 / 100
109 ms8264 KiB
#include <bits/stdc++.h>

using namespace std;

const int N = 2e5 + 5;

int n, x[N], r[N];

long double ans[N];

long double calc(int i, int j){
    double x1 = x[i], y1 = ans[i];
    double x2 = x[j];
    return (x1 * x1 + x2 * x2 - 2 * x1 * x2 ) / (4 * y1);
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> n;
    for(int i = 1; i <= n; i++){
        cin >> x[i] >> r[i];
        ans[i] = r[i];
    }

    stack<int> st;
    for(int i = 1; i <= n; i++){
        long double reach = r[i];
        while(st.size()){
            reach = min(reach, calc(st.top(), i));
            if(reach < ans[st.top()]) break;
            st.pop();
        }
        ans[i] = reach;
        st.push(i);
    }

    for(int i = 1; i <= n; i++)
        cout << setprecision(3) << fixed << ans[i] << "\n";

    return 0;
}
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