Submission #656517

#TimeUsernameProblemLanguageResultExecution timeMemory
656517NafeeszxBalloons (CEOI11_bal)C++14
10 / 100
239 ms26484 KiB
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define trav(a, x) for(auto& a : x)
#define FOR(i, a, b) for (int i=(a); i<=(signed)(b); i++)
#define ROF(i, a, b) for (int i=(a); i>=(signed)(b); i--)
#define F0R(i, a) for (int i=0; i<(signed)(a); i++)
#define vi vector<int>
#define all(v) (v).begin(), (v).end()
#define f first
#define s second
typedef long long ll;

const int mod = 1e9 + 7, MOD = 998244353;

int main()
{	
    ios_base::sync_with_stdio(0); cin.tie(0);
    int n; cin >> n;
    vector<pair<int, int>> v(n);
    set<pair<int, int>> s;
    vector<double> res(n);
    F0R(i, n) {
        cin >> v[i].first >> v[i].second;
    }
    F0R(i, n) {
        
        if(i == 0) res[i] = v[i].second;    
        if(i != 0) {
            auto tt = *(--s.upper_bound({v[i].first*1.0, (int)1e9}));
            double raa = res[tt.second];
            double aa = v[tt.second].first;
            res[i] = min(v[i].second*1.0, (v[i].first - aa) * (v[i].first - aa) / (4 * raa));
            double rb = res[i], b = v[i].first;
            double ra, a;
            auto t = *(--s.upper_bound({v[i].first*1.0, (int)1e9}));
            ra = res[t.second];
            a = v[t.second].first;
            double k = sqrt(ra/rb);
            double pp = (a - k * b) / (1 - k);
            s.insert({pp, t.second});
        }

        s.insert({v[i].first, i});

    }

    F0R(i, n) cout << fixed << setprecision(3) << res[i] << "\n";

    return 0;
}
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