#include "bits/stdc++.h"
using namespace std;
const int INF = 1e9 + 7;
int32_t main() {
cin.tie(0)->sync_with_stdio(0);
int n, L; cin >> n >> L;
vector<pair<int, int>> a(n);
for (auto &x: a) cin >> x.first >> x.second;
auto good = [&](double R) {
vector<pair<double, double>> b;
for (auto i: a) {
long long u, v; tie(u, v) = i;
#define sqr(x) (x) * (x)
if (sqr(R) - sqr(v) < 0) continue;
double delta = sqrt(sqr(R) - sqr(v));
double x1 = -delta + u, x2 = delta + u;
b.emplace_back(x1, x2);
// cout << fixed << setprecision(10) << x1 << ' ' << x2 << '\n';
}
sort(b.begin(), b.end());
double l = 0;
for (auto i: b) {
if (i.first <= l) l = max(l, i.second);
}
return l >= L;
};
double l = -1, r = 1e9 + 1;
for (int i = 1, ITER = 100; i <= ITER; ++i) {
double m = l + (r - l) / 2;
if (good(m)) r = m;
else l = m;
}
cout << fixed << setprecision(9) << r;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
340 KB |
Output is correct |
2 |
Correct |
7 ms |
468 KB |
Output is correct |
3 |
Correct |
3 ms |
340 KB |
Output is correct |
4 |
Correct |
6 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
564 KB |
Output is correct |
2 |
Correct |
15 ms |
644 KB |
Output is correct |
3 |
Correct |
21 ms |
608 KB |
Output is correct |
4 |
Correct |
6 ms |
676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
572 KB |
Output is correct |
2 |
Correct |
14 ms |
1028 KB |
Output is correct |
3 |
Correct |
24 ms |
612 KB |
Output is correct |
4 |
Correct |
5 ms |
644 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
15 ms |
932 KB |
Output is correct |
2 |
Correct |
13 ms |
644 KB |
Output is correct |
3 |
Correct |
26 ms |
604 KB |
Output is correct |
4 |
Correct |
5 ms |
660 KB |
Output is correct |
5 |
Correct |
7 ms |
612 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
175 ms |
4400 KB |
Output is correct |
2 |
Correct |
462 ms |
5428 KB |
Output is correct |
3 |
Correct |
293 ms |
3236 KB |
Output is correct |
4 |
Correct |
82 ms |
5308 KB |
Output is correct |
5 |
Correct |
75 ms |
2932 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
112 ms |
4236 KB |
Output is correct |
2 |
Correct |
106 ms |
4876 KB |
Output is correct |
3 |
Correct |
100 ms |
5280 KB |
Output is correct |
4 |
Correct |
91 ms |
5452 KB |
Output is correct |
5 |
Correct |
81 ms |
5884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
365 ms |
4616 KB |
Output is correct |
2 |
Correct |
506 ms |
5480 KB |
Output is correct |
3 |
Correct |
682 ms |
5360 KB |
Output is correct |
4 |
Correct |
70 ms |
6572 KB |
Output is correct |
5 |
Correct |
125 ms |
5440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
505 ms |
4752 KB |
Output is correct |
2 |
Correct |
678 ms |
6160 KB |
Output is correct |
3 |
Correct |
941 ms |
5804 KB |
Output is correct |
4 |
Correct |
68 ms |
6608 KB |
Output is correct |
5 |
Correct |
127 ms |
5972 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
341 ms |
4872 KB |
Output is correct |
2 |
Correct |
666 ms |
6164 KB |
Output is correct |
3 |
Correct |
894 ms |
5784 KB |
Output is correct |
4 |
Correct |
69 ms |
6560 KB |
Output is correct |
5 |
Correct |
126 ms |
6020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1084 ms |
20548 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1065 ms |
20376 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1061 ms |
31088 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1082 ms |
30888 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1072 ms |
33304 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1073 ms |
33220 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1037 ms |
35724 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1073 ms |
35704 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1073 ms |
40308 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1066 ms |
40508 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |