/**
* author: FromDihPout
* created: 2022-04-18
**/
#include <bits/stdc++.h>
using namespace std;
const double EPSILON = 1e-5;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, l;
cin >> n >> l;
vector<array<double, 2>> p(n);
for (int i = 0; i < n; i++) {
cin >> p[i][0] >> p[i][1];
}
auto check = [&](double r) {
vector<pair<double, double>> intervals(n);
for (int i = 0; i < n; i++) {
if (p[i][1] >= r) continue;
double length = sqrt((r * r) - (p[i][1] * p[i][1]));
intervals.emplace_back(p[i][0] - length, p[i][0] + length);
}
sort(intervals.begin(), intervals.end());
double end = 0.0;
for (auto [l, r] : intervals) {
if (l > end) {
return false;
}
end = max(end, r);
}
return end >= l;
};
double lo = 0, hi = 1e10;
while (hi - lo > EPSILON) {
double mid = (lo + hi) / 2;
if (check(mid)) {
hi = mid;
} else {
lo = mid;
}
}
cout << fixed << setprecision(5) << lo << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
468 KB |
Output is correct |
2 |
Correct |
8 ms |
512 KB |
Output is correct |
3 |
Correct |
7 ms |
460 KB |
Output is correct |
4 |
Incorrect |
11 ms |
468 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
688 KB |
Output is correct |
2 |
Correct |
17 ms |
704 KB |
Output is correct |
3 |
Correct |
19 ms |
676 KB |
Output is correct |
4 |
Correct |
18 ms |
708 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
692 KB |
Output is correct |
2 |
Correct |
17 ms |
708 KB |
Output is correct |
3 |
Correct |
19 ms |
844 KB |
Output is correct |
4 |
Correct |
24 ms |
872 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
696 KB |
Output is correct |
2 |
Correct |
17 ms |
704 KB |
Output is correct |
3 |
Correct |
19 ms |
676 KB |
Output is correct |
4 |
Correct |
18 ms |
724 KB |
Output is correct |
5 |
Correct |
17 ms |
672 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
233 ms |
5264 KB |
Output is correct |
2 |
Correct |
351 ms |
6108 KB |
Output is correct |
3 |
Correct |
197 ms |
4264 KB |
Output is correct |
4 |
Correct |
271 ms |
6136 KB |
Output is correct |
5 |
Correct |
167 ms |
3752 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
299 ms |
5496 KB |
Output is correct |
2 |
Correct |
257 ms |
5532 KB |
Output is correct |
3 |
Correct |
318 ms |
6376 KB |
Output is correct |
4 |
Correct |
291 ms |
6416 KB |
Output is correct |
5 |
Correct |
349 ms |
7144 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
435 ms |
5964 KB |
Output is correct |
2 |
Correct |
391 ms |
6448 KB |
Output is correct |
3 |
Correct |
362 ms |
6496 KB |
Output is correct |
4 |
Incorrect |
390 ms |
8468 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
397 ms |
7044 KB |
Output is correct |
2 |
Correct |
520 ms |
7544 KB |
Output is correct |
3 |
Correct |
413 ms |
7552 KB |
Output is correct |
4 |
Correct |
405 ms |
8432 KB |
Output is correct |
5 |
Correct |
379 ms |
7808 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
421 ms |
7040 KB |
Output is correct |
2 |
Correct |
480 ms |
7544 KB |
Output is correct |
3 |
Correct |
459 ms |
7532 KB |
Output is correct |
4 |
Incorrect |
372 ms |
8480 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1064 ms |
32044 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1064 ms |
32164 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1057 ms |
38392 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1074 ms |
38212 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1063 ms |
44652 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1077 ms |
44492 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1087 ms |
50868 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1084 ms |
50836 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1052 ms |
63392 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1090 ms |
62924 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |