/*
_____ _ _
/ ____| | | | |
| | __ _ __ __ _ ___ ___ _ _ _ __ ___ | |_ __ _| |_ ___
| | |_ | '__/ _` / __/ __| | | | '_ \ / _ \| __/ _` | __/ _ \
| |__| | | | (_| \__ \__ \ |_| | |_) | (_) | || (_| | || (_) |
\_____|_| \__,_|___/___/\__, | .__/ \___/ \__\__,_|\__\___/
__/ | |
|___/|_|
*/
#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};
ll N, L;
pair<long double, long double> xy[INF];
bool check (long double radius) {
vector<pair<long double, long double>> seg;
long double current = 0;
for (int i = 0; i < N; i++) {
long double horz = sqrt(radius * radius - xy[i].second * xy[i].second);
long double left = xy[i].first - horz, right = xy[i].first + horz;
if (left <= current) current = max(current, right);
}
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;
long double l = 1, r = 1.5 * 1e9;
while (r - l > 1e-3) {
long double m = (l + r) / 2;
if (check(m)) {
r = m;
} else {
l = m;
}
}
cout << fixed << setprecision(4) << l << '\n';
return 0;
}
/*
*
*/
//
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 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 |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
332 KB |
Output is correct |
2 |
Correct |
4 ms |
332 KB |
Output is correct |
3 |
Correct |
3 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
460 KB |
Output is correct |
2 |
Correct |
7 ms |
472 KB |
Output is correct |
3 |
Correct |
5 ms |
460 KB |
Output is correct |
4 |
Correct |
8 ms |
388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
460 KB |
Output is correct |
2 |
Correct |
5 ms |
484 KB |
Output is correct |
3 |
Correct |
5 ms |
460 KB |
Output is correct |
4 |
Correct |
8 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
460 KB |
Output is correct |
2 |
Correct |
5 ms |
488 KB |
Output is correct |
3 |
Correct |
5 ms |
460 KB |
Output is correct |
4 |
Correct |
10 ms |
488 KB |
Output is correct |
5 |
Correct |
7 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
94 ms |
2652 KB |
Output is correct |
2 |
Correct |
72 ms |
2628 KB |
Output is correct |
3 |
Correct |
67 ms |
1984 KB |
Output is correct |
4 |
Correct |
117 ms |
2672 KB |
Output is correct |
5 |
Correct |
75 ms |
1816 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
99 ms |
2760 KB |
Output is correct |
2 |
Correct |
95 ms |
2500 KB |
Output is correct |
3 |
Correct |
113 ms |
2740 KB |
Output is correct |
4 |
Correct |
120 ms |
2796 KB |
Output is correct |
5 |
Correct |
136 ms |
3028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
86 ms |
3032 KB |
Output is correct |
2 |
Correct |
78 ms |
2888 KB |
Output is correct |
3 |
Correct |
94 ms |
2948 KB |
Output is correct |
4 |
Correct |
169 ms |
3448 KB |
Output is correct |
5 |
Correct |
120 ms |
3096 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
97 ms |
3428 KB |
Output is correct |
2 |
Correct |
93 ms |
3436 KB |
Output is correct |
3 |
Correct |
100 ms |
3396 KB |
Output is correct |
4 |
Correct |
168 ms |
3352 KB |
Output is correct |
5 |
Correct |
161 ms |
3356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
3396 KB |
Output is correct |
2 |
Correct |
92 ms |
3444 KB |
Output is correct |
3 |
Correct |
104 ms |
3448 KB |
Output is correct |
4 |
Correct |
200 ms |
3472 KB |
Output is correct |
5 |
Correct |
142 ms |
3348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
439 ms |
15968 KB |
Output is correct |
2 |
Correct |
505 ms |
15968 KB |
Output is correct |
3 |
Correct |
490 ms |
16084 KB |
Output is correct |
4 |
Correct |
873 ms |
15972 KB |
Output is correct |
5 |
Correct |
716 ms |
15972 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
482 ms |
15972 KB |
Output is correct |
2 |
Correct |
656 ms |
15968 KB |
Output is correct |
3 |
Correct |
599 ms |
15968 KB |
Output is correct |
4 |
Correct |
859 ms |
15988 KB |
Output is correct |
5 |
Correct |
779 ms |
15968 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
528 ms |
19160 KB |
Output is correct |
2 |
Correct |
596 ms |
19156 KB |
Output is correct |
3 |
Correct |
566 ms |
19012 KB |
Output is correct |
4 |
Execution timed out |
1041 ms |
19096 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
581 ms |
19104 KB |
Output is correct |
2 |
Correct |
798 ms |
19096 KB |
Output is correct |
3 |
Correct |
609 ms |
19108 KB |
Output is correct |
4 |
Execution timed out |
1026 ms |
19104 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
623 ms |
22236 KB |
Output is correct |
2 |
Correct |
672 ms |
22284 KB |
Output is correct |
3 |
Correct |
671 ms |
22172 KB |
Output is correct |
4 |
Execution timed out |
1093 ms |
22212 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
690 ms |
22152 KB |
Output is correct |
2 |
Correct |
944 ms |
22204 KB |
Output is correct |
3 |
Correct |
779 ms |
22212 KB |
Output is correct |
4 |
Execution timed out |
1090 ms |
22208 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
708 ms |
25364 KB |
Output is correct |
2 |
Correct |
773 ms |
35032 KB |
Output is correct |
3 |
Correct |
768 ms |
36976 KB |
Output is correct |
4 |
Execution timed out |
1090 ms |
41164 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
773 ms |
25456 KB |
Output is correct |
2 |
Execution timed out |
1047 ms |
25464 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
880 ms |
31620 KB |
Output is correct |
2 |
Execution timed out |
1008 ms |
31684 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
988 ms |
31620 KB |
Output is correct |
2 |
Execution timed out |
1090 ms |
31568 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |