제출 #815238

#제출 시각아이디문제언어결과실행 시간메모리
815238serifefedartarBalloons (CEOI11_bal)C++17
100 / 100
199 ms13148 KiB
#include <bits/stdc++.h>
using namespace std;
 
#define fast ios::sync_with_stdio(0);cin.tie(0);
typedef long long ll;
#define f first
#define s second
#define MOD 1000000007
#define LOGN 12
#define MAXN 3000000
typedef long double ld;

ld find(ld r1, ll x1, ll x2) {
    ll d_sq = (x2 - x1) * (x2 - x1);
    ld ans = (d_sq * 1.0) / (4 * r1);
    return ans;
}

int main() {
    fast
    int n;
    cin >> n;

    vector<pair<ll,ll>> bal(n+1);
    vector<ld> ans(n+1);
    for (int i = 1; i <= n; i++)
        cin >> bal[i].f >> bal[i].s;

    stack<pair<ll, ld>> st; 
    for (int i = 1; i <= n; i++) {
        ans[i] = (ld)bal[i].s;
        while (!st.empty()) {
            pair<ll, ld> p = st.top();
            ld q = find(p.s, p.f, bal[i].f);
            ans[i] = min(ans[i], q);
            if (ans[i] >= p.s)
                st.pop();
            else
                break;
        }
        st.push({bal[i].f, ans[i]});
    }

    cout << setprecision(10) << fixed;
    for (int i = 1; i <= n; i++)
        cout << ans[i] << "\n";
}
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