이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#define int long long
using namespace std;
namespace std {
template <typename T> ostream &operator<<(ostream &out, const vector<T> &vec) {
out << "[";
for (int i = 0; i < (int)vec.size(); ++i) {
out << vec[i];
if (i + 1 < (int)vec.size())
out << ", ";
}
return out << "]";
}
} // namespace std
void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
cout << ' ' << H;
dbg_out(T...);
}
#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
double sq(int x) { return x * x; }
struct Polynome {
double a, b, c;
bool operator<(Polynome other) const {
return tuple(a, b, c) < tuple(other.a, other.b, other.c);
};
double eval(double x) const { return a * x * x + b * x + c; }
};
signed main(void) {
ios_base::sync_with_stdio(false);
cin.tie(0);
int N;
cin >> N;
vector<int> x(N);
vector<double> r(N);
for (int i = 0; i < N; ++i) {
cin >> x[i] >> r[i];
}
priority_queue<Polynome> polynomes;
for (int i = 0; i < N; ++i) {
while (polynomes.size() > 1) {
auto &pol = polynomes.top();
polynomes.pop();
if (pol.eval(x[i]) >= polynomes.top().eval(x[i])) {
dbg("ERASING", pol.a, pol.b, pol.c);
dbg(pol.eval(x[2]));
continue;
}
polynomes.push(pol);
break;
}
if (!polynomes.empty()) {
dbg(polynomes.top().eval(x[i]));
r[i] = min(r[i], polynomes.top().eval(x[i]));
}
double inv = 1 / (4 * r[i]);
double a = inv, b = -2 * x[i] * inv, c = sq(x[i]) * inv;
dbg("ADDING", a, b, c);
polynomes.push({a, b, c});
}
for (int i = 0; i < N; ++i) {
cout << setprecision(15) << fixed << r[i] << '\n';
}
}
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