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;
#define int long long
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
signed main(){
ios::sync_with_stdio(0);cin.tie(0);
int n,l;
cin>>n>>l;
vector<pair<double,double>> v(n);
for(int i=0;i<n;i++) cin>>v[i].first>>v[i].second;
double l1=0,r=1e9*sqrt(2);
for(int j=1;j<100;j++){
double m=(l1+r)/2;
bool ans=true;
vector<pair<double,double>> c(n);
for(int i=0;i<n;i++){
c[i].first=v[i].first-sqrt(m*m-v[i].second*v[i].second);
c[i].second=v[i].first+sqrt(m*m-v[i].second*v[i].second);
}
if(c[0].first>0) ans=false;
else if(c[n-1].second<l) ans=false;
else{
for(int i=0;i<n-1;i++){
if(c[i+1].first>c[i].second) {ans=false; break;}
}
}
if(ans) r=m;
else l1=m;
}
cout<<fixed<<setprecision(4)<<r;
return 0;
}
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