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;
using ll = long long;
ll x[1000005], y[1000005];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("", "r", stdin);
// freopen("", "w", stdout);
int n, l; cin >> n >> l;
for (int i = 0; i < n; i++) {
cin >> x[i] >> y[i];
}
double lo = 1, hi = 1.5e9;
while (hi-lo > 1e-4) {
double mid = (hi + lo) / 2;
double t = 0;
for (int i = 0; i < n; i++) {
double length = sqrt(mid * mid - y[i] * y[i]);
double left = x[i] - length;
double right = x[i] + length;
if (left <= t) {
t = max(t, right);
}
}
if (t >= l) {
hi = mid;
} else {
lo = mid;
}
}
cout << fixed << setprecision(10) << lo << "\n";
}
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