Submission #883316

#TimeUsernameProblemLanguageResultExecution timeMemory
883316MisterReaperBalloons (CEOI11_bal)C++17
100 / 100
147 ms10592 KiB
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using d64 = long double;

i64 sq(int a) {
    return 1LL * a * a;
} 

d64 calc(int ax, int bx, d64 ar) {
    return d64(sq(bx - ax)) / (4 * ar);
}

#define ONLINE_JUDGE
void solve() {
    int n;
    cin >> n;

    vector <int> x(n +1);
    vector <d64> r(n +1);
    for(int i = 1; i <= n; i++) {
        cin >> x[i] >> r[i];
    }

    cout << fixed << setprecision(9);

    stack <int> st;

    for(int i = 1; i <= n; i++) {
        while(!st.empty()) {
            int j = st.top();
            r[i] = min(r[i], calc(x[j], x[i], r[j]));
            if(r[i] >= r[j]) {
                st.pop();
            } else {
                break;
            }
        }

        st.emplace(i);

        cout << r[i] << "\n";
    }
    
    return;
}

signed main() {
    #ifndef ONLINE_JUDGE
        freopen("in.txt", "r", stdin);
        freopen("out.txt", "w", stdout);
    #endif

    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);

    int t = 1; //cin >> t;
    for(int i = 1; i <= t; i++) {
        solve();
    }

    return 0;
}
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