#include <bits/stdc++.h>
using namespace std;
double dist(double x, double y, double a, double b) {
return sqrt((x - a) * (x - a) + (y - b) * (y - b));
}
signed main() {
int n, L;
cin >> n >> L;
vector <double> x(n), y(n);
for (int i = 0; i < n; i++) {
cin >> x[i] >> y[i];
}
auto get_point = [&](int i, int j) {
return ((x[i] * x[i] + y[i] * y[i]) - (x[j] * x[j] + y[j] * y[j])) / (2.0 * (x[i] - x[j]));
};
vector <double> start(n);
deque <int> stk;
for (int i = 0; i < n; i++) {
while (stk.size() > 1 && get_point(stk.back(), i) <= get_point(stk.back(), stk[stk.size() - 2])) stk.pop_back();
if (!stk.empty() && x[stk.back()] == x[i]) {
continue;
}
if (!stk.empty()) start[i] = get_point(stk.back(), i);
stk.push_back(i);
}
while (stk.size() > 1 && get_point(stk[0], stk[1]) < 0) {
stk.pop_front();
}
while (stk.size() > 1 && get_point(stk[stk.size() - 2], stk[stk.size() - 1]) > L) {
stk.pop_back();
}
double ans = 0;
for (int i = 0; i < stk.size(); i++) {
double left = 0, right = L;
if (i) {
left = get_point(stk[i - 1], stk[i]);
}
if (i + 1 < stk.size()) {
right = get_point(stk[i], stk[i + 1]);
}
if (left < 0 || right > L || left > L || right < 0) continue;
ans = max(ans, dist(x[stk[i]], y[stk[i]], left, 0));
ans = max(ans, dist(x[stk[i]], y[stk[i]], right, 0));
}
cout << fixed << setprecision(6) << ans << endl;
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |