| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1324507 | jack205 | Mobile (BOI12_mobile) | C++20 | 596 ms | 31620 KiB |
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 1000000;
long long n, l;
pair<double,double> a[MAXN+5];
const double eps = 1e-12;
struct Seg { double L, R; };
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> l;
for(int i=1;i<=n;i++) cin >> a[i].first >> a[i].second;
vector<Seg> stk;
stk.reserve(n);
auto ok = [&](double mid)->bool {
stk.clear();
double r2 = mid * mid;
for (int i = 1; i <= n; i++) {
double x = a[i].first, y = a[i].second;
double yy = y * y;
if (r2 < yy) continue;
double dx = sqrt(max(0.0, r2 - yy));
double L = x - dx, R = x + dx;
while (!stk.empty() && stk.back().L >= L - eps) stk.pop_back();
stk.push_back({L, R});
}
double cur = 0;
for (auto &s : stk) {
if (s.L > cur + eps) return false;
cur = max(cur, s.R);
if (cur >= l - eps) return true;
}
return cur >= l - eps;
};
double st = 0, ed = 1e12 + 5, ans = -1;
for(int it=0; it<60; it++){
double mid = (st + ed) / 2;
if (ok(mid)) ans = ed = mid;
else st = mid;
}
cout << fixed << setprecision(6) << ans << "\n";
return 0;
}
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