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 ld long double
#define ll long long int
#define pi pair<int,int>
#define sz(x) (int)x.size()
#define all(x) begin(x),end(x)
int main()
{
cin.tie(0)->sync_with_stdio(0);
int n;
double L;
cin >> n >> L;
vector<pair<double,double>> a(n);
for(int i=0;i<n;i++){
cin >> a[i].first >> a[i].second;
}
sort(all(a));
auto len = [&](double a,double b){
return sqrt(a*a - b*b);
};
double l = 0,r = 2e9;
while(r - l > 0.000001){
double mid = (l + r) / 2.0;
double mn = 0,mx = 0;
for(int i=0;i<n;i++){
double le = a[i].first - len(mid,a[i].second),ri = a[i].first + len(mid,a[i].second);
if(le <= mx){
mx = max(mx,ri);
mn = min(mn,le);
}
}
if(mn <= 0 && mx >= L){
r = mid;
}
else{
l = mid;
}
}
cout << setprecision(6) << fixed << r;
return 0;
}
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