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<iostream>
#include<cmath>
#include<iomanip>
using namespace std;
const int MAXN=1e6;
const double MAXL=1e10;
pair<long long, long long> pts[MAXN];
bool CanCover(int n, int m, double l)
{
double d=0;
for(int i=0; i<n; i++)
{
double x=sqrt(l*l-pts[i].second*pts[i].second);
if(pts[i].first-x<=d && pts[i].first+x>=d)
{
d=pts[i].first+x;
}
}
return d>=m;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, m;
cin >> n >> m;
for(int i=0; i<n; i++)
{
cin >> pts[i].first >> pts[i].second;
}
double diff=0.001, l=0, r=MAXL, ans;
while(r-l>=diff)
{
double mid=l+(r-l)/2;
if(CanCover(n, m, mid))
{
ans=mid;
r=mid;
}
else
{
l=mid;
}
}
cout << fixed << setprecision(4) << ans << "\n";
return 0;
}
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