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;
void testCase() {
int n, len;
cin >> n >> len;
vector<long long> x(n), y(n);
for (int i = 0; i < n; i++) cin >> x[i] >> y[i];
auto check = [&](double d) {
double l = 1e9 + 5, r = 0;
for (int i = 0; i < n; i++) {
if (d >= abs(y[i])) {
double a = sqrt(d * d - y[i] * y[i]);
if (x[i] - a <= r) {
l = min(x[i] - a, l);
r = max(x[i] + a, r);
}
}
}
return (l <= 0 && r >= len && l <= r);
};
double lo = 0, hi = 2e9;
for (int it = 0; it < 50; it++) {
double mid = (lo + hi) / 2;
if (check(mid)) hi = mid;
else lo = mid;
}
cout << fixed << setprecision(5) << lo << "\n";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
testCase();
return 0;
}
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