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 double
double dist(double x1, double y1, double x2, double y2){
double dist=sqrt(pow((x1-x2),2)+pow((y1-y2),2));
return dist;
}
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
int N,L; cin >> N >> L;
vector<pair<double,double>> a(N);
for (int i = 0; i < N; i++){
cin >> a[i].first >> a[i].second;
a[i].second=abs(a[i].second);
}
int l=0,r=L;
int ans;
while(r-l>0.0003){
int mid=(l+r)/2;
int rght=0;
for (int i = 0; i < N; i++)
{
int pnt1=a[i].first-sqrt(pow(mid,2)-pow(a[i].second,2)),pnt2=a[i].first+sqrt(pow(mid,2)-pow(a[i].second,2));
if(mid>=a[i].second){
if(pnt1<=rght) rght=max(rght, pnt2);
}
}
if(rght>=L) {
r=mid;
ans=r;
}else{
l=mid;
}
}
cout << setprecision(5) << fixed << (double)ans << "\n";
return 0;
}
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