#include <bits/stdc++.h>
using i64 = long long;
using ld = long double;
ld cross(std::pair<int, int> a, std::pair<int, int> b) {
int x1 = a.first, x2 = b.first, y1 = a.second, y2 = b.second;
return 1.0 * (1ll * x2 * x2 + y2 * y2 - 1ll * x1 * x1 - 1ll * y1 * y1) / (2.0 * (x2 - x1));
}
ld solve(ld s, ld e, std::pair<int, int> t) {
return std::max(std::hypot(s - t.first, t.second), std::hypot(e - t.first, t.second));
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
std::cout << std::fixed << std::setprecision(6);
int n, L;
std::cin >> n >> L;
std::vector<std::pair<int, int>> a(n);
for (int i = 0; i < n; i++) {
std::cin >> a[i].first >> a[i].second;
a[i].second = std::abs(a[i].second);
}
std::sort(a.begin(), a.end());
std::deque<std::pair<int, int>> st;
for (int i = 0; i < n; i++) {
int j = i;
while (j < n && a[j].first == a[i].first) {
j++;
}
while (st.size() >= 2 && cross(st[st.size() - 2], st.back()) > cross(st.back(), a[i])) {
st.pop_back();
}
st.push_back(a[i]);
i = j - 1;
}
ld answer = 0;
while (st.size() >= 2 && cross(st[0], st[1]) < 0) {
st.pop_front();
}
while (st.size() >= 2 && cross(st[st.size() - 2], st.back()) > L) {
st.pop_back();
}
answer = std::max(answer, solve(0, cross(st[0], st[1]), st[0]));
answer = std::max(answer, solve(cross(st[st.size() - 2], st.back()), L, st.back()));
for (int i = 1; i < st.size() - 1; i++) {
answer = std::max(answer, solve(cross(st[i - 1], st[i]), cross(st[i], st[i + 1]), st[i]));
}
answer = (ld) ((ld) ((ld) answer * (int) 1e6) / (int) 1e6);
std::cout << answer << "\n";
return 0;
}
Compilation message
mobile.cpp: In function 'int main()':
mobile.cpp:51:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::deque<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
51 | for (int i = 1; i < st.size() - 1; i++) {
| ~~^~~~~~~~~~~~~~~
# |
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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
4 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
1112 KB |
Output is correct |
2 |
Incorrect |
12 ms |
860 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
1112 KB |
Output is correct |
2 |
Correct |
12 ms |
856 KB |
Output is correct |
3 |
Incorrect |
13 ms |
860 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
24 ms |
1884 KB |
Output is correct |
2 |
Incorrect |
13 ms |
856 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
16 ms |
1116 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
1764 KB |
Output is correct |
2 |
Incorrect |
15 ms |
1112 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
117 ms |
8216 KB |
Output is correct |
2 |
Correct |
85 ms |
4432 KB |
Output is correct |
3 |
Correct |
73 ms |
4360 KB |
Output is correct |
4 |
Incorrect |
91 ms |
4184 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
76 ms |
4188 KB |
Output is correct |
2 |
Correct |
82 ms |
4628 KB |
Output is correct |
3 |
Incorrect |
75 ms |
5124 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
144 ms |
10064 KB |
Output is correct |
2 |
Correct |
89 ms |
4956 KB |
Output is correct |
3 |
Correct |
87 ms |
4956 KB |
Output is correct |
4 |
Incorrect |
123 ms |
4956 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
92 ms |
4956 KB |
Output is correct |
2 |
Correct |
97 ms |
5412 KB |
Output is correct |
3 |
Correct |
91 ms |
5464 KB |
Output is correct |
4 |
Incorrect |
110 ms |
4956 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
164 ms |
11576 KB |
Output is correct |
2 |
Correct |
109 ms |
5724 KB |
Output is correct |
3 |
Correct |
102 ms |
5928 KB |
Output is correct |
4 |
Incorrect |
132 ms |
5724 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
110 ms |
5724 KB |
Output is correct |
2 |
Correct |
114 ms |
6284 KB |
Output is correct |
3 |
Incorrect |
105 ms |
6956 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
186 ms |
13136 KB |
Output is correct |
2 |
Correct |
118 ms |
6488 KB |
Output is correct |
3 |
Correct |
117 ms |
6488 KB |
Output is correct |
4 |
Incorrect |
149 ms |
6488 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
6492 KB |
Output is correct |
2 |
Correct |
129 ms |
6980 KB |
Output is correct |
3 |
Incorrect |
111 ms |
7508 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
232 ms |
16480 KB |
Output is correct |
2 |
Correct |
153 ms |
8284 KB |
Output is correct |
3 |
Runtime error |
155 ms |
16224 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
159 ms |
8284 KB |
Output is correct |
2 |
Correct |
161 ms |
8808 KB |
Output is correct |
3 |
Incorrect |
138 ms |
9548 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |