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;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
long long n,l;cin>>n>>l;
vector<pair<long long,long long>>a(n);
for(int i=0;i<n;++i){
cin>>a[i].first>>a[i].second;
}
double lo=0;
double hi=4e9;
double delta=1e-5;
while(hi-lo>delta){
double mid=(lo+hi)/2;
double curr=0;
for(int i=0;i<n;++i){
double dist=sqrt(mid*mid-a[i].second*a[i].second);
if(a[i].first-dist<=curr){curr=max(a[i].first+dist,curr);}
}
if(curr>=l){hi=mid;}else{lo=mid;}
}
cout<<fixed<<setprecision(5);
cout<<lo<<endl;
}
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