This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
const double eps = 1e-7;
bool cmp_less(double a, double b) {
return a + eps < b;
}
bool cmp_less_equal(double a, double b) {
return a < b + eps;
}
bool cmp_range(const pair<double, double> &p1, const pair<double, double> &p2) {
return cmp_less(p1.first, p2.first);
}
bool inside(double l, double r, double m) {
return cmp_less_equal(l, m) && cmp_less_equal(m, r);
}
int main() {
int n;
double len;
cin >> n >> len;
vector<pair<double, double>> cor(n);
for (int i = 0; i < n; i++)
cin >> cor[i].first >> cor[i].second;
double l = 0, r = 2e9 + 7, m;
while (cmp_less(l, r)) {
m = (l + r) / 2;
// cout << "@m " << m << endl;
vector<pair<double, double>> range, real_range;
for (int i = 0; i < n; i++) {
if (cmp_less_equal(m, abs(cor[i].second))) continue;
double dx = sqrt(m * m - cor[i].second * cor[i].second);
range.push_back({cor[i].first - dx, cor[i].first + dx});
}
// cout << "dx ok" << endl;
sort(range.begin(), range.end(), cmp_range);
pair<double, double> cur_range = {-1, -1};
if (range.size() > 0) cur_range = *range.begin();
for (int i = 0; i < range.size(); i++) {
if (inside(cur_range.first, cur_range.second, range[i].first) && cmp_less(cur_range.second, range[i].second))
cur_range.second = range[i].second;
if (!inside(cur_range.first, cur_range.second, range[i].first) || i + 1 == range.size()) {
real_range.push_back(cur_range);
cur_range = range[i];
}
}
// cout << "real range ok" << endl;
bool iok = false;
for (int i = 0; i < real_range.size(); i++) {
if (inside(real_range[i].first, real_range[i].second, 0) && inside(real_range[i].first, real_range[i].second, len)) {
iok = true;
break;
}
}
if (iok)
r = m;
else
l = m + eps;
// cout << "check inside ok" << endl;
}
cout << setprecision(6) << fixed;
cout << r << endl;
return 0;
}
Compilation message (stderr)
mobile.cpp: In function 'int main()':
mobile.cpp:47:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<double, double> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
47 | for (int i = 0; i < range.size(); i++) {
| ~~^~~~~~~~~~~~~~
mobile.cpp:50:85: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<double, double> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
50 | if (!inside(cur_range.first, cur_range.second, range[i].first) || i + 1 == range.size()) {
| ~~~~~~^~~~~~~~~~~~~~~
mobile.cpp:57:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<double, double> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
57 | for (int i = 0; i < real_range.size(); i++) {
| ~~^~~~~~~~~~~~~~~~~~~
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