// time-limit: 3000
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const double eps = 1E-4;
struct point {
int x{}, y{};
};
void solve() {
int n, L;
cin >> n >> L;
vector<point> p(n);
for(int i = 0; i < n; i++) {
cin >> p[i].x >> p[i].y;
}
auto intersection = [&](const point& A, double R) -> array<double, 2> {
if(abs(A.y) > R) {
return {1e18, -1e18};
}
double D = 1.0 * R * R - 1.0 * A.y * A.y; // divided by 4
double x1 = A.x - sqrt(D);
double x2 = A.x + sqrt(D);
if(x2 < x1) swap(x1, x2);
return {x1, x2};
};
auto good = [&](double R) {
vector<array<double, 2>> segs;
for(int i = 0; i < n; i++) {
if(abs(p[i].y) > R) continue;
segs.push_back(intersection(p[i], R));
}
if(segs.empty()) return false;
sort(segs.begin(), segs.end());
double t = 0;
for(auto [l, r] : segs) {
if(l <= t) {
t = max(t, r);
}
else break;
}
return t >= L;
};
double l = 0, r = 4e9;
while(r - l > eps) {
double R = (r + l) / 2;
if(good(R)) {
r = R;
}
else {
l = R;
}
}
cout << fixed << setprecision(-log10(eps)) << r << endl;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
double T = 1;
//cin >> T;
while(T--) solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
348 KB |
Output is correct |
2 |
Correct |
4 ms |
592 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
4 |
Correct |
4 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
716 KB |
Output is correct |
2 |
Correct |
9 ms |
716 KB |
Output is correct |
3 |
Correct |
11 ms |
700 KB |
Output is correct |
4 |
Correct |
6 ms |
700 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
700 KB |
Output is correct |
2 |
Correct |
9 ms |
716 KB |
Output is correct |
3 |
Correct |
11 ms |
764 KB |
Output is correct |
4 |
Correct |
5 ms |
716 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
828 KB |
Output is correct |
2 |
Correct |
10 ms |
712 KB |
Output is correct |
3 |
Correct |
13 ms |
700 KB |
Output is correct |
4 |
Correct |
5 ms |
732 KB |
Output is correct |
5 |
Correct |
7 ms |
716 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
124 ms |
4352 KB |
Output is correct |
2 |
Correct |
249 ms |
4464 KB |
Output is correct |
3 |
Correct |
137 ms |
2756 KB |
Output is correct |
4 |
Correct |
85 ms |
4280 KB |
Output is correct |
5 |
Correct |
79 ms |
2632 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
119 ms |
4396 KB |
Output is correct |
2 |
Correct |
109 ms |
4192 KB |
Output is correct |
3 |
Correct |
104 ms |
4372 KB |
Output is correct |
4 |
Correct |
85 ms |
4384 KB |
Output is correct |
5 |
Correct |
81 ms |
5268 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
195 ms |
4888 KB |
Output is correct |
2 |
Correct |
254 ms |
4472 KB |
Output is correct |
3 |
Correct |
292 ms |
4536 KB |
Output is correct |
4 |
Correct |
67 ms |
4800 KB |
Output is correct |
5 |
Correct |
138 ms |
4592 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
258 ms |
4912 KB |
Output is correct |
2 |
Correct |
323 ms |
4888 KB |
Output is correct |
3 |
Correct |
353 ms |
4868 KB |
Output is correct |
4 |
Correct |
64 ms |
4868 KB |
Output is correct |
5 |
Correct |
124 ms |
5428 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
211 ms |
4916 KB |
Output is correct |
2 |
Correct |
335 ms |
5028 KB |
Output is correct |
3 |
Correct |
350 ms |
4904 KB |
Output is correct |
4 |
Correct |
68 ms |
4780 KB |
Output is correct |
5 |
Correct |
143 ms |
4872 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1055 ms |
20404 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1062 ms |
20412 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1036 ms |
31020 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1062 ms |
31076 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1100 ms |
33612 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1053 ms |
33796 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1036 ms |
36152 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1034 ms |
37392 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1029 ms |
41084 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1071 ms |
40616 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |