#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) {
double l = INF, r = -INF;
for (auto i: a) {
long long u, v; tie(u, v) = i;
#define sqr(x) (x) * (x)
double delta = sqrt(sqr(R) - sqr(v));
double x1 = -delta + u, x2 = delta + u;
if (x1 > x2) swap(x1, x2);
if (l != INF && (x1 > r || x2 < l)) continue;
l = min(l, x1), r = max(r, x2);
// cout << fixed << setprecision(10) << x1 << ' ' << x2 << '\n';
}
return l <= 0 && r >= L;
};
double l = -1, r = 1e9 + 1;
for (int i = 1, ITER = 80; i <= ITER; ++i) {
double m = l + (r - l) / 2;
if (good(m)) r = m;
else l = m;
}
cout << fixed << setprecision(20) << r;
}
# |
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 |
324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
320 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
332 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Incorrect |
2 ms |
332 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
340 KB |
Output is correct |
3 |
Correct |
3 ms |
352 KB |
Output is correct |
4 |
Correct |
4 ms |
328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
340 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
340 KB |
Output is correct |
3 |
Correct |
5 ms |
332 KB |
Output is correct |
4 |
Correct |
4 ms |
328 KB |
Output is correct |
5 |
Correct |
4 ms |
400 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
68 ms |
1612 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
43 ms |
1620 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
39 ms |
1644 KB |
Output is correct |
2 |
Correct |
44 ms |
2100 KB |
Output is correct |
3 |
Correct |
55 ms |
1872 KB |
Output is correct |
4 |
Incorrect |
70 ms |
2184 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
55 ms |
2236 KB |
Output is correct |
2 |
Correct |
51 ms |
2124 KB |
Output is correct |
3 |
Correct |
49 ms |
2032 KB |
Output is correct |
4 |
Correct |
67 ms |
2248 KB |
Output is correct |
5 |
Incorrect |
60 ms |
2184 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
48 ms |
2220 KB |
Output is correct |
2 |
Correct |
51 ms |
2212 KB |
Output is correct |
3 |
Correct |
51 ms |
2132 KB |
Output is correct |
4 |
Correct |
63 ms |
2200 KB |
Output is correct |
5 |
Incorrect |
66 ms |
2124 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
221 ms |
5288 KB |
Output is correct |
2 |
Correct |
241 ms |
5324 KB |
Output is correct |
3 |
Correct |
240 ms |
5340 KB |
Output is correct |
4 |
Incorrect |
315 ms |
5264 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
246 ms |
5324 KB |
Output is correct |
2 |
Incorrect |
498 ms |
5244 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
254 ms |
6140 KB |
Output is correct |
2 |
Correct |
286 ms |
6064 KB |
Output is correct |
3 |
Correct |
297 ms |
6052 KB |
Output is correct |
4 |
Correct |
367 ms |
6152 KB |
Output is correct |
5 |
Correct |
356 ms |
6140 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
295 ms |
6048 KB |
Output is correct |
2 |
Correct |
568 ms |
6100 KB |
Output is correct |
3 |
Correct |
320 ms |
6096 KB |
Output is correct |
4 |
Incorrect |
393 ms |
6164 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
302 ms |
6940 KB |
Output is correct |
2 |
Correct |
354 ms |
6896 KB |
Output is correct |
3 |
Correct |
345 ms |
6848 KB |
Output is correct |
4 |
Incorrect |
485 ms |
6836 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
341 ms |
6604 KB |
Output is correct |
2 |
Correct |
632 ms |
6612 KB |
Output is correct |
3 |
Correct |
347 ms |
6604 KB |
Output is correct |
4 |
Correct |
440 ms |
6604 KB |
Output is correct |
5 |
Correct |
412 ms |
6500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
363 ms |
7264 KB |
Output is correct |
2 |
Correct |
421 ms |
7284 KB |
Output is correct |
3 |
Correct |
394 ms |
7240 KB |
Output is correct |
4 |
Correct |
532 ms |
7124 KB |
Output is correct |
5 |
Incorrect |
484 ms |
7124 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
391 ms |
7160 KB |
Output is correct |
2 |
Incorrect |
716 ms |
7124 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
445 ms |
8648 KB |
Output is correct |
2 |
Correct |
513 ms |
8660 KB |
Output is correct |
3 |
Correct |
510 ms |
8660 KB |
Output is correct |
4 |
Correct |
634 ms |
9168 KB |
Output is correct |
5 |
Correct |
571 ms |
8508 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
490 ms |
8148 KB |
Output is correct |
2 |
Correct |
853 ms |
8528 KB |
Output is correct |
3 |
Correct |
528 ms |
20416 KB |
Output is correct |
4 |
Correct |
660 ms |
22272 KB |
Output is correct |
5 |
Incorrect |
589 ms |
22856 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |