#include <bits/stdc++.h>
#define PB push_back
#define MP make_pair
#ifndef ONLINE_JUDGE
#define DEBUG(x) cout << #x << " = " << (x) << endl
#else
#define DEBUG(x)
#endif
#define FOR(n) for(int i = 0; i < (n); i++)
#define SORTA(v) sort((v).begin(), (v).end())
#define SORTD(v) sort((v).rbegin(), (v).rend())
#define PRINT(v) for(auto x: (v))cout << x << " "; cout << endl;
#define TWO(n) (1 << (n))
#define INPUT(v) for(auto &x : (v))cin >> x;
typedef long long ll;
using namespace std;
vector<pair<double, double>> torri;
ll n, L;
bool good(double r) {
queue<pair<double, double>> s;
for (auto a : torri) {
double x = a.first, y = a.second;
if (abs(y) <= r - 1e-6) {
// Calculate the horizontal range covered by the tower at radius r
double dx = sqrt((r + y) * (r - y));
s.push({x - dx, x + dx});
}
}
double curr = 0;
while (!s.empty()) {
if (curr >= L) return true;
auto seg = s.front();
s.pop();
if (seg.first <= curr) {
curr = max(seg.second, curr);
} else {
return false;
}
}
return curr >= L;
}
void solve() {
cin >> n >> L;
torri = vector<pair<double, double>>(n);
for (int i = 0; i < n; i++) {
cin >> torri[i].first >> torri[i].second;
}
double l = 0, r = 2e9; // Adjust upper bound based on problem limits
double ans = r;
while (r - l >= 1e-6) { // Adjust precision here for better accuracy
double c = (r + l) / 2;
if (good(c)) {
ans = c;
r = c;
} else {
l = c;
}
}
cout << ans << endl;
}
int main() {
cout << setprecision(18);
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
600 KB |
Output is correct |
2 |
Correct |
3 ms |
604 KB |
Output is correct |
3 |
Incorrect |
3 ms |
604 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
3 ms |
600 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
49 ms |
3740 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
35 ms |
3724 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
66 ms |
4108 KB |
Output is correct |
2 |
Incorrect |
57 ms |
4256 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
70 ms |
5340 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
72 ms |
5280 KB |
Output is correct |
2 |
Incorrect |
71 ms |
5192 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
353 ms |
20764 KB |
Output is correct |
2 |
Correct |
362 ms |
24268 KB |
Output is correct |
3 |
Correct |
346 ms |
23812 KB |
Output is correct |
4 |
Incorrect |
205 ms |
25956 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
357 ms |
24848 KB |
Output is correct |
2 |
Incorrect |
372 ms |
23168 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
442 ms |
25184 KB |
Output is correct |
2 |
Incorrect |
421 ms |
29052 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
435 ms |
29452 KB |
Output is correct |
2 |
Incorrect |
452 ms |
27676 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
504 ms |
29044 KB |
Output is correct |
2 |
Incorrect |
522 ms |
33804 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
536 ms |
34732 KB |
Output is correct |
2 |
Incorrect |
503 ms |
32216 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
585 ms |
33112 KB |
Output is correct |
2 |
Incorrect |
614 ms |
38580 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
612 ms |
39364 KB |
Output is correct |
2 |
Incorrect |
562 ms |
36692 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
752 ms |
41196 KB |
Output is correct |
2 |
Incorrect |
766 ms |
48144 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
765 ms |
49128 KB |
Output is correct |
2 |
Incorrect |
707 ms |
45704 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |