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;
const int nx=1e6+5;
int n, L;
pair<double, double> p[nx];
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n>>L;
for (int i=1; i<=n; i++) cin>>p[i].first>>p[i].second;
double l=0, r=2e9;
while (r-l>1e-4)
{
double md=(l+r)/2, mx=0;
for (int i=1; i<=n; i++)
{
double x=md*md-p[i].second*p[i].second;
if (x<0) continue;
x=sqrt(x);
if (p[i].first-x<=mx) mx=max(mx, p[i].first+x);
}
if (mx>=L) r=md;
else l=md;
}
cout<<fixed<<setprecision(4)<<l;
}
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