#include <bits/stdc++.h>
#define ll long long
using namespace std;
bool check(double maxDist, vector<pair<double, double>> &transceivers, ll N, ll L) {
double covered = 0;
for (int i = 0; i < N; i++) {
double ySquared = transceivers[i].second * transceivers[i].second;
double hypoSquared = maxDist * maxDist;
if (hypoSquared - ySquared < 0) {
continue;
}
double x = sqrt(hypoSquared - ySquared);
if (transceivers[i].first - x <= covered) {
covered = max(covered, transceivers[i].first + x);
}
}
return covered >= L;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
ll N, L;
cin >> N >> L;
vector<pair<double, double>> transceivers(N);
for (int i = 0; i < N; i++) cin >> transceivers[i].first >> transceivers[i].second;
double l = 0;
double r = 1e9;
double ans = 0;
while (r - l >= 0.001) {
double mid = l + (r - l) / 2;
// cout << l << ' ' << r << ' ' << mid << '\n';
if (check(mid, transceivers, N, L)) {
r = mid;
ans = mid;
} else {
l = mid;
}
}
printf("%0.4lf\n", ans);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
332 KB |
Output is correct |
2 |
Correct |
2 ms |
332 KB |
Output is correct |
3 |
Correct |
2 ms |
324 KB |
Output is correct |
4 |
Correct |
2 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
332 KB |
Output is correct |
2 |
Correct |
4 ms |
460 KB |
Output is correct |
3 |
Correct |
3 ms |
424 KB |
Output is correct |
4 |
Correct |
4 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
332 KB |
Output is correct |
2 |
Correct |
4 ms |
460 KB |
Output is correct |
3 |
Correct |
4 ms |
332 KB |
Output is correct |
4 |
Correct |
4 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
440 KB |
Output is correct |
2 |
Correct |
4 ms |
460 KB |
Output is correct |
3 |
Correct |
3 ms |
332 KB |
Output is correct |
4 |
Correct |
4 ms |
460 KB |
Output is correct |
5 |
Correct |
4 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
1988 KB |
Output is correct |
2 |
Correct |
55 ms |
1996 KB |
Output is correct |
3 |
Correct |
37 ms |
1608 KB |
Output is correct |
4 |
Correct |
54 ms |
1900 KB |
Output is correct |
5 |
Correct |
30 ms |
1484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
1996 KB |
Output is correct |
2 |
Correct |
43 ms |
1920 KB |
Output is correct |
3 |
Correct |
48 ms |
2096 KB |
Output is correct |
4 |
Correct |
59 ms |
1996 KB |
Output is correct |
5 |
Correct |
66 ms |
2176 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
54 ms |
2124 KB |
Output is correct |
2 |
Correct |
55 ms |
2124 KB |
Output is correct |
3 |
Correct |
52 ms |
2076 KB |
Output is correct |
4 |
Correct |
75 ms |
2372 KB |
Output is correct |
5 |
Correct |
53 ms |
2124 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
71 ms |
2380 KB |
Output is correct |
2 |
Correct |
66 ms |
2344 KB |
Output is correct |
3 |
Correct |
56 ms |
2380 KB |
Output is correct |
4 |
Correct |
76 ms |
2380 KB |
Output is correct |
5 |
Correct |
64 ms |
2448 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
2380 KB |
Output is correct |
2 |
Correct |
71 ms |
2384 KB |
Output is correct |
3 |
Correct |
62 ms |
2376 KB |
Output is correct |
4 |
Correct |
71 ms |
2380 KB |
Output is correct |
5 |
Correct |
63 ms |
2344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
296 ms |
8648 KB |
Output is correct |
2 |
Correct |
380 ms |
8816 KB |
Output is correct |
3 |
Correct |
373 ms |
8664 KB |
Output is correct |
4 |
Correct |
361 ms |
8648 KB |
Output is correct |
5 |
Correct |
332 ms |
8772 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
353 ms |
8652 KB |
Output is correct |
2 |
Correct |
375 ms |
8740 KB |
Output is correct |
3 |
Correct |
299 ms |
8644 KB |
Output is correct |
4 |
Correct |
353 ms |
8644 KB |
Output is correct |
5 |
Correct |
316 ms |
8772 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
331 ms |
10188 KB |
Output is correct |
2 |
Correct |
432 ms |
10220 KB |
Output is correct |
3 |
Correct |
418 ms |
10188 KB |
Output is correct |
4 |
Correct |
448 ms |
10216 KB |
Output is correct |
5 |
Correct |
376 ms |
10308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
433 ms |
10212 KB |
Output is correct |
2 |
Correct |
448 ms |
10304 KB |
Output is correct |
3 |
Correct |
351 ms |
10188 KB |
Output is correct |
4 |
Correct |
459 ms |
10308 KB |
Output is correct |
5 |
Correct |
394 ms |
10224 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
412 ms |
11776 KB |
Output is correct |
2 |
Correct |
491 ms |
11772 KB |
Output is correct |
3 |
Correct |
499 ms |
11972 KB |
Output is correct |
4 |
Correct |
519 ms |
11972 KB |
Output is correct |
5 |
Correct |
451 ms |
12100 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
497 ms |
11724 KB |
Output is correct |
2 |
Correct |
523 ms |
11976 KB |
Output is correct |
3 |
Correct |
422 ms |
11904 KB |
Output is correct |
4 |
Correct |
526 ms |
11852 KB |
Output is correct |
5 |
Correct |
438 ms |
12128 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
462 ms |
13260 KB |
Output is correct |
2 |
Correct |
541 ms |
13380 KB |
Output is correct |
3 |
Correct |
539 ms |
13516 KB |
Output is correct |
4 |
Correct |
582 ms |
13596 KB |
Output is correct |
5 |
Correct |
496 ms |
13596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
578 ms |
13380 KB |
Output is correct |
2 |
Correct |
568 ms |
13696 KB |
Output is correct |
3 |
Correct |
473 ms |
13636 KB |
Output is correct |
4 |
Correct |
584 ms |
13700 KB |
Output is correct |
5 |
Correct |
499 ms |
13636 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
585 ms |
16472 KB |
Output is correct |
2 |
Correct |
735 ms |
17616 KB |
Output is correct |
3 |
Correct |
668 ms |
16736 KB |
Output is correct |
4 |
Correct |
747 ms |
16068 KB |
Output is correct |
5 |
Correct |
621 ms |
16836 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
718 ms |
18200 KB |
Output is correct |
2 |
Correct |
718 ms |
16728 KB |
Output is correct |
3 |
Correct |
644 ms |
16672 KB |
Output is correct |
4 |
Correct |
744 ms |
15980 KB |
Output is correct |
5 |
Correct |
626 ms |
16584 KB |
Output is correct |