/*
_____ _ _
/ ____| | | | |
| | __ _ __ __ _ ___ ___ _ _ _ __ ___ | |_ __ _| |_ ___
| | |_ | '__/ _` / __/ __| | | | '_ \ / _ \| __/ _` | __/ _ \
| |__| | | | (_| \__ \__ \ |_| | |_) | (_) | || (_| | || (_) |
\_____|_| \__,_|___/___/\__, | .__/ \___/ \__\__,_|\__\___/
__/ | |
|___/|_|
*/
#include <fstream>
#include <iostream>
#include <iomanip>
#include <algorithm>
#include <numeric>
#include <array>
#include <vector>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <cmath>
#include <cstring>
#include <bitset>
#include <string>
#include <sstream>
using namespace std;
using ll = long long;
const int INF = 1e6 + 5;
const int MOD = 1e9 + 7;
const int dx[4] = {1, -1, 0, 0};
const int dy[4] = {0, 0, 1, -1};
int N, L;
pair<ll, ll> xy[INF];
bool check (double radius) {
vector<pair<double, double>> segments;
for (int i = 0; i < N; i++) {
double left = xy[i].first - sqrt(pow(radius, 2) - pow(xy[i].second, 2));
double right = xy[i].first + sqrt(pow(radius, 2) - pow(xy[i].second, 2));
segments.push_back(make_pair(left, right));
}
sort(segments.begin(), segments.end());
double search = 0;
for (int i = 0; i < N; i++) {
if (segments[i].first <= search + 1e-4 && search <= segments[i].second - 1e-4) {
search = segments[i].second;
}
}
return search >= L;
}
int main()
{
std::ios_base::sync_with_stdio(false); cin.tie(0);
// ifstream cin(".in");
// ofstream cout(".out");
cin >> N >> L;
for (int i = 0; i < N; i++) {
cin >> xy[i].first >> xy[i].second;
}
double l = 0, r = 1.5 * 1e9;
for (int i = 0; i < 100; i++) {
double m = (l + r) / 2;
if (check(m)) {
r = m;
} else {
l = m;
}
}
cout << fixed << setprecision(6) << l << '\n';
return 0;
}
/*
*
*/
//2 10
//0 0
//11 1
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Incorrect |
0 ms |
204 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
13 ms |
460 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
27 ms |
700 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
29 ms |
1000 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
24 ms |
720 KB |
Output is correct |
2 |
Correct |
22 ms |
604 KB |
Output is correct |
3 |
Correct |
30 ms |
972 KB |
Output is correct |
4 |
Incorrect |
33 ms |
616 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
736 ms |
4988 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
572 ms |
4860 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
479 ms |
5204 KB |
Output is correct |
2 |
Correct |
693 ms |
4984 KB |
Output is correct |
3 |
Correct |
685 ms |
5040 KB |
Output is correct |
4 |
Incorrect |
755 ms |
5632 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
678 ms |
5616 KB |
Output is correct |
2 |
Correct |
933 ms |
5580 KB |
Output is correct |
3 |
Correct |
819 ms |
5620 KB |
Output is correct |
4 |
Incorrect |
892 ms |
5556 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
554 ms |
5564 KB |
Output is correct |
2 |
Correct |
924 ms |
5636 KB |
Output is correct |
3 |
Correct |
794 ms |
5620 KB |
Output is correct |
4 |
Incorrect |
761 ms |
5532 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1099 ms |
24232 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1073 ms |
24340 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1099 ms |
35556 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1090 ms |
35652 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1098 ms |
38752 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1082 ms |
38744 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1095 ms |
41884 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1098 ms |
41836 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1060 ms |
48096 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1077 ms |
48188 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |