/*
_____ _ _
/ ____| | | | |
| | __ _ __ __ _ ___ ___ _ _ _ __ ___ | |_ __ _| |_ ___
| | |_ | '__/ _` / __/ __| | | | '_ \ / _ \| __/ _` | __/ _ \
| |__| | | | (_| \__ \__ \ |_| | |_) | (_) | || (_| | || (_) |
\_____|_| \__,_|___/___/\__, | .__/ \___/ \__\__,_|\__\___/
__/ | |
|___/|_|
*/
#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<double, double> 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());
for (int i = 0; i < N; i++) {
if (i == 0) {
if (segments[i].first > 0) {
return false;
}
} else {
if (segments[i].first > segments[i - 1].second || segments[i].second < segments[i - 1].second) {
return false;
}
}
}
return segments[segments.size() - 1].second >= 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 = 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 |
Incorrect |
0 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
480 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
26 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
24 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
22 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
407 ms |
4796 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
518 ms |
4900 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
493 ms |
5200 KB |
Output is correct |
2 |
Incorrect |
525 ms |
6188 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
663 ms |
5532 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
574 ms |
5532 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1083 ms |
24360 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1057 ms |
24308 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1090 ms |
35636 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1082 ms |
35624 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1092 ms |
38692 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1083 ms |
38688 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1086 ms |
41928 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1093 ms |
41800 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1081 ms |
48208 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1076 ms |
48232 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |