/*
_____ _ _
/ ____| | | | |
| | __ _ __ __ _ ___ ___ _ _ _ __ ___ | |_ __ _| |_ ___
| | |_ | '__/ _` / __/ __| | | | '_ \ / _ \| __/ _` | __/ _ \
| |__| | | | (_| \__ \__ \ |_| | |_) | (_) | || (_| | || (_) |
\_____|_| \__,_|___/___/\__, | .__/ \___/ \__\__,_|\__\___/
__/ | |
|___/|_|
*/
#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>> seg;
for (int i = 0; i < N; i++) {
double horz = sqrt(radius * radius - xy[i].second * xy[i].second);
double left = xy[i].first - horz, right = xy[i].first + horz;
seg.push_back(make_pair(left, right));
}
double current = 0;
for (int i = 0; i < N; i++) {
if (seg[i].first <= current) current = max(current, seg[i].second);
}
return current >= 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 < 50; i++) {
double m = (l + r) / 2;
if (check(m)) {
r = m;
} else {
l = m;
}
}
cout << fixed << setprecision(6) << l << '\n';
return 0;
}
/*
*
*/
//
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
460 KB |
Output is correct |
2 |
Correct |
3 ms |
460 KB |
Output is correct |
3 |
Correct |
3 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
620 KB |
Output is correct |
2 |
Correct |
7 ms |
620 KB |
Output is correct |
3 |
Correct |
7 ms |
604 KB |
Output is correct |
4 |
Correct |
9 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
604 KB |
Output is correct |
2 |
Correct |
6 ms |
620 KB |
Output is correct |
3 |
Correct |
6 ms |
604 KB |
Output is correct |
4 |
Correct |
7 ms |
620 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
608 KB |
Output is correct |
2 |
Correct |
6 ms |
604 KB |
Output is correct |
3 |
Correct |
6 ms |
608 KB |
Output is correct |
4 |
Correct |
7 ms |
620 KB |
Output is correct |
5 |
Correct |
8 ms |
788 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
128 ms |
4948 KB |
Output is correct |
2 |
Correct |
123 ms |
4912 KB |
Output is correct |
3 |
Correct |
79 ms |
3084 KB |
Output is correct |
4 |
Correct |
128 ms |
4980 KB |
Output is correct |
5 |
Correct |
70 ms |
2952 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
126 ms |
5040 KB |
Output is correct |
2 |
Correct |
119 ms |
4600 KB |
Output is correct |
3 |
Correct |
128 ms |
4984 KB |
Output is correct |
4 |
Correct |
131 ms |
4896 KB |
Output is correct |
5 |
Correct |
136 ms |
5192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
128 ms |
5192 KB |
Output is correct |
2 |
Correct |
131 ms |
5032 KB |
Output is correct |
3 |
Correct |
125 ms |
5140 KB |
Output is correct |
4 |
Correct |
158 ms |
5560 KB |
Output is correct |
5 |
Correct |
135 ms |
5228 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
151 ms |
5700 KB |
Output is correct |
2 |
Correct |
148 ms |
5568 KB |
Output is correct |
3 |
Correct |
152 ms |
5572 KB |
Output is correct |
4 |
Correct |
162 ms |
5596 KB |
Output is correct |
5 |
Correct |
146 ms |
5584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
149 ms |
5560 KB |
Output is correct |
2 |
Correct |
156 ms |
5580 KB |
Output is correct |
3 |
Correct |
141 ms |
5536 KB |
Output is correct |
4 |
Correct |
186 ms |
5524 KB |
Output is correct |
5 |
Correct |
146 ms |
5580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
739 ms |
24348 KB |
Output is correct |
2 |
Correct |
750 ms |
32064 KB |
Output is correct |
3 |
Correct |
757 ms |
31588 KB |
Output is correct |
4 |
Correct |
810 ms |
33960 KB |
Output is correct |
5 |
Correct |
762 ms |
31152 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
774 ms |
24396 KB |
Output is correct |
2 |
Correct |
849 ms |
30908 KB |
Output is correct |
3 |
Correct |
776 ms |
30156 KB |
Output is correct |
4 |
Correct |
786 ms |
33796 KB |
Output is correct |
5 |
Correct |
789 ms |
31600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1082 ms |
35900 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1090 ms |
35672 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1097 ms |
38756 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1099 ms |
38692 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1080 ms |
42008 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1055 ms |
41820 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1100 ms |
48076 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1091 ms |
48320 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |