#include <bits/stdc++.h>
#define ll long long
using namespace std;
struct Bound {
double left;
double right;
bool validLeft;
bool validRight;
};
bool comp(Bound one, Bound two) {
return one.right < two.right;
}
bool comparator(Bound one, Bound two) {
return one.left < two.left;
}
bool check(double maxDist, vector<pair<double, double>> &transceivers, ll N, ll L) {
vector<Bound> bounds;
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);
Bound toAdd;
toAdd.left = max(transceivers[i].first - x, 0.0);
toAdd.right = min(transceivers[i].first + x, (double)L);
toAdd.validLeft = true;
toAdd.validRight = true;
if (x - transceivers[i].first > 0.0000001) {
toAdd.validLeft = false;
}
if (transceivers[i].first + x - (double)L > 0.0000001) {
toAdd.validRight = false;
}
bounds.push_back(toAdd);
}
sort(bounds.begin(), bounds.end(), comparator);
if (bounds.size() == 0 || bounds[0].validLeft || bounds[bounds.size() - 1].validRight) {
return true;
}
double right = bounds[0].right;
for (int i = 1; i < (int)bounds.size(); i++) {
if (bounds[i].left >= right && bounds[i].validLeft) {
return true;
}
right = max(bounds[i].right, right);
}
sort(bounds.begin(), bounds.end(), comp);
double front = bounds[bounds.size() - 1].left;
for (int i = (int)bounds.size() - 1; i >= 0; i--) {
if (bounds[i].right <= front && bounds[i].validRight) {
return true;
}
front = min(bounds[i].left, front);
}
return false;
}
int main() {
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 = 1e20;
double ans = 0;
while (r - l >= 0.0001) {
double mid = l + (r - l) / 2;
// cout << l << ' ' << r << ' ' << mid << '\n';
if (check(mid, transceivers, N, L)) {
l = mid;
ans = mid;
} else {
r = mid;
}
}
printf("%0.7lf\n", ans);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
28 ms |
560 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
68 ms |
732 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
65 ms |
684 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
66 ms |
688 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1089 ms |
6392 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1090 ms |
6600 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1097 ms |
6940 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1085 ms |
7436 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1097 ms |
7404 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1087 ms |
32268 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1079 ms |
32340 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1083 ms |
48528 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1080 ms |
48360 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1084 ms |
52332 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1092 ms |
52364 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1093 ms |
56204 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1002 ms |
12748 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1087 ms |
40612 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1089 ms |
16452 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |