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;
typedef long long ll;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vll = vector<ll>;
using vvll = vector<vector<ll>>;
#define all(x) x.begin(), x.end()
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(NULL);
int N;
double L;
cin >> N >> L;
vector<double> X(N);
vector<double> Y(N);
for (int i=0;i<N;i++) cin >> X[i] >> Y[i];
auto get_hw = [&](double y, double r) {
if (abs(y) >= r) return -1.0;
return sqrt(r*r - y*y);
};
auto can_do = [&](double R) {
vector<pair<double, double>> ivals;
for (int i=0;i<N;i++) {
double hw = get_hw(Y[i], R);
if (hw < 0) continue;
ivals.push_back({X[i] - hw, X[i] + hw});
}
sort(all(ivals));
double progress = 0.;
for (auto [l, r] : ivals) {
if (l > progress) return false;
progress = max(progress, r);
}
return progress >= L;
};
double lo = 0;
double hi = L + abs(X[0]) + abs(Y[0]);
while (hi - lo > 1e-4) {
double mid = (lo + hi) / 2;
if (can_do(mid)) hi = mid;
else lo = mid;
}
cout << setprecision(10);
cout << lo << endl;
return 0;
}
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