#include <bits/stdc++.h>
using i64 = long long;
using ld = 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]));
}
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 |
1 ms |
500 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 |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 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 |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
500 KB |
Output is correct |
4 |
Incorrect |
2 ms |
344 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 |
412 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 |
11 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 |
11 ms |
1024 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 |
14 ms |
1880 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 |
Incorrect |
15 ms |
1112 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
1768 KB |
Output is correct |
2 |
Incorrect |
15 ms |
1116 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
88 ms |
8456 KB |
Output is correct |
2 |
Correct |
74 ms |
4360 KB |
Output is correct |
3 |
Correct |
71 ms |
4184 KB |
Output is correct |
4 |
Incorrect |
91 ms |
4188 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
75 ms |
4188 KB |
Output is correct |
2 |
Correct |
79 ms |
4616 KB |
Output is correct |
3 |
Incorrect |
64 ms |
5128 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
92 ms |
10020 KB |
Output is correct |
2 |
Correct |
87 ms |
4956 KB |
Output is correct |
3 |
Correct |
87 ms |
5144 KB |
Output is correct |
4 |
Incorrect |
108 ms |
4956 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
89 ms |
4956 KB |
Output is correct |
2 |
Correct |
100 ms |
5400 KB |
Output is correct |
3 |
Correct |
78 ms |
5664 KB |
Output is correct |
4 |
Incorrect |
109 ms |
4952 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
106 ms |
11604 KB |
Output is correct |
2 |
Correct |
105 ms |
5724 KB |
Output is correct |
3 |
Correct |
99 ms |
5724 KB |
Output is correct |
4 |
Incorrect |
127 ms |
5720 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
105 ms |
5724 KB |
Output is correct |
2 |
Correct |
108 ms |
6184 KB |
Output is correct |
3 |
Incorrect |
96 ms |
6736 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
126 ms |
13136 KB |
Output is correct |
2 |
Correct |
115 ms |
6488 KB |
Output is correct |
3 |
Correct |
131 ms |
6648 KB |
Output is correct |
4 |
Incorrect |
145 ms |
6648 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
120 ms |
6492 KB |
Output is correct |
2 |
Correct |
125 ms |
6996 KB |
Output is correct |
3 |
Incorrect |
103 ms |
7508 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
151 ms |
16356 KB |
Output is correct |
2 |
Correct |
145 ms |
8284 KB |
Output is correct |
3 |
Runtime error |
147 ms |
16208 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
150 ms |
8284 KB |
Output is correct |
2 |
Correct |
157 ms |
8784 KB |
Output is correct |
3 |
Incorrect |
129 ms |
9316 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |