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>
#define int long long
using namespace std ;
const int maxn = 2e6 + 5 ;
const int inf = 2e9 + 5 ;
double n, l, x[maxn], y[maxn] ;
bool check(double r){
double f = 0 ;
for(int i = 1 ; i <= n ; i++){
double dx = sqrt((r*r) - (y[i]*y[i])) ;
double ini = x[i] - dx, fim = x[i] + dx ;
if(ini <= f) f = max(f, fim) ;
}
return (f >= l) ;
}
int32_t main(){
cin >> n >> l ;
for(int i = 1 ; i <= n ; i++) cin >> x[i] >> y[i] ;
double ini = 0, fim = inf*1.00, mid ;
int ct = 44 ;
while(ct--){
mid = (ini + fim)/2 ;
if(check(mid)) fim = mid ;
else ini = mid ;
}
cout << fixed << setprecision(5) << fim << "\n" ;
}
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