#include <bits/stdc++.h>
#define long long long
using namespace std;
const double eps = 1E-6;
const int N = (int) 1E6;
int n, k;
int x[N], y[N];
bool valid(double a) {
double t = 0;
for (int i = 0; i < n; i++) {
if (a < y[i]) {
continue;
}
double l = x[i] - sqrt(1.0 * a * a - 1.0 * y[i] * y[i]);
double r = x[i] + sqrt(1.0 * a * a - 1.0 * y[i] * y[i]);
if (l <= t && r >= t) {
t = r;
}
}
return t >= k;
}
void solve() {
cin >> n >> k;
for (int i = 0; i < n; i++) {
cin >> x[i] >> y[i];
}
double l = 0, r = 4E9;
while(r - l > eps) {
double R = (r + l) / 2;
if(valid(R)) {
r = R;
}
else {
l = R;
}
}
cout << fixed << setprecision(-log10(eps)) << r << endl;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t;
t = 1;
for (int i = 0; i < t; i++) {
solve();
}
return 0;
}
// time-limit: 3000
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2392 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
2 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
4700 KB |
Output is correct |
2 |
Correct |
17 ms |
4748 KB |
Output is correct |
3 |
Correct |
11 ms |
4700 KB |
Output is correct |
4 |
Correct |
37 ms |
4748 KB |
Output is correct |
5 |
Correct |
11 ms |
4700 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
21 ms |
4696 KB |
Output is correct |
2 |
Correct |
31 ms |
4696 KB |
Output is correct |
3 |
Correct |
37 ms |
4672 KB |
Output is correct |
4 |
Correct |
39 ms |
4700 KB |
Output is correct |
5 |
Correct |
44 ms |
4700 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
4688 KB |
Output is correct |
2 |
Correct |
18 ms |
4676 KB |
Output is correct |
3 |
Correct |
17 ms |
4700 KB |
Output is correct |
4 |
Correct |
53 ms |
6804 KB |
Output is correct |
5 |
Correct |
34 ms |
4948 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
6744 KB |
Output is correct |
2 |
Correct |
22 ms |
6748 KB |
Output is correct |
3 |
Correct |
19 ms |
6796 KB |
Output is correct |
4 |
Correct |
54 ms |
6796 KB |
Output is correct |
5 |
Correct |
52 ms |
6748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
6748 KB |
Output is correct |
2 |
Correct |
22 ms |
6744 KB |
Output is correct |
3 |
Correct |
19 ms |
6748 KB |
Output is correct |
4 |
Correct |
56 ms |
6796 KB |
Output is correct |
5 |
Correct |
46 ms |
6744 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
101 ms |
6776 KB |
Output is correct |
2 |
Correct |
113 ms |
6748 KB |
Output is correct |
3 |
Correct |
111 ms |
6748 KB |
Output is correct |
4 |
Correct |
275 ms |
6744 KB |
Output is correct |
5 |
Correct |
227 ms |
6748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
122 ms |
6780 KB |
Output is correct |
2 |
Correct |
158 ms |
6748 KB |
Output is correct |
3 |
Correct |
98 ms |
6744 KB |
Output is correct |
4 |
Correct |
265 ms |
6996 KB |
Output is correct |
5 |
Correct |
233 ms |
6772 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
123 ms |
6748 KB |
Output is correct |
2 |
Correct |
136 ms |
6792 KB |
Output is correct |
3 |
Correct |
132 ms |
6776 KB |
Output is correct |
4 |
Correct |
354 ms |
6780 KB |
Output is correct |
5 |
Correct |
271 ms |
6744 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
135 ms |
6744 KB |
Output is correct |
2 |
Correct |
178 ms |
6776 KB |
Output is correct |
3 |
Correct |
115 ms |
6748 KB |
Output is correct |
4 |
Correct |
321 ms |
6744 KB |
Output is correct |
5 |
Correct |
279 ms |
6748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
145 ms |
6992 KB |
Output is correct |
2 |
Correct |
153 ms |
7000 KB |
Output is correct |
3 |
Correct |
169 ms |
7032 KB |
Output is correct |
4 |
Correct |
375 ms |
7000 KB |
Output is correct |
5 |
Correct |
303 ms |
7040 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
159 ms |
6996 KB |
Output is correct |
2 |
Correct |
195 ms |
6996 KB |
Output is correct |
3 |
Correct |
138 ms |
6992 KB |
Output is correct |
4 |
Correct |
397 ms |
6996 KB |
Output is correct |
5 |
Correct |
328 ms |
6992 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
174 ms |
7304 KB |
Output is correct |
2 |
Correct |
182 ms |
7248 KB |
Output is correct |
3 |
Correct |
177 ms |
7300 KB |
Output is correct |
4 |
Correct |
440 ms |
7484 KB |
Output is correct |
5 |
Correct |
374 ms |
7252 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
183 ms |
7252 KB |
Output is correct |
2 |
Correct |
219 ms |
7304 KB |
Output is correct |
3 |
Correct |
152 ms |
7292 KB |
Output is correct |
4 |
Correct |
426 ms |
7252 KB |
Output is correct |
5 |
Correct |
406 ms |
7252 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
198 ms |
8016 KB |
Output is correct |
2 |
Correct |
218 ms |
8056 KB |
Output is correct |
3 |
Correct |
243 ms |
8016 KB |
Output is correct |
4 |
Correct |
531 ms |
8064 KB |
Output is correct |
5 |
Correct |
456 ms |
8016 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
221 ms |
8016 KB |
Output is correct |
2 |
Correct |
267 ms |
8272 KB |
Output is correct |
3 |
Correct |
222 ms |
8052 KB |
Output is correct |
4 |
Correct |
561 ms |
8056 KB |
Output is correct |
5 |
Correct |
490 ms |
8076 KB |
Output is correct |