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 pb push_back
#define mp make_pair
#define float long double
const int MOD=1e9+7;
//const int MOD=998244353;
const int sqn=450;
const long double eps=1e-4;
long double n,l,x[1000002],y[1000002];
void runtc(){
cin>>n>>l;
for (int i=1;i<=n;i++){
cin>>x[i]>>y[i];
}
long double mini=0,maxi=2e9;
while (mini+eps<maxi){
long double mid=(mini+maxi)/2;
long double cur=0;
for (int i=1;i<=n;i++){
if (mid*mid-y[i]*y[i]<0) continue;
long double lol=sqrt(mid*mid-y[i]*y[i]);
if (x[i]-lol<=cur) cur=max(cur,x[i]+lol);
}
if (cur>=l) maxi=mid;
else mini=mid;
}
cout<<fixed<<setprecision(4);
cout<<maxi;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
//freopen("moocast.in","r",stdin);
//freopen("moocast.out","w",stdout);
//freopen("input1.in","r",stdin);
//freopen("output1.out","w",stdout);
//freopen("perfectly_balanced_chapter_1_input.txt","r",stdin);
//freopen("hackercup_output.txt","w",stdout);
int tc;
//cin>>tc;
tc=1;
for (int i=1;i<=tc;i++){
//cout<<"Case #"<<i<<": ";
runtc();
}
}
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