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 PB push_back
#define MP makepair
#ifndef ONLINE_JUDGE
#define DEBUG(x) cout << #x << " = " << (x) << endl
#else
#define DEBUG(x)
#endif
#define FOR(n) for(int i = 0; i < (n); i++)
#define SORTA(v) sort((v).begin(), (v).end())
#define SORTD(v) sort((v).rbegin(), (v).rend())
#define PRINT(v) for(auto x: (v))cout << x << " "; cout << endl;
#define TWO(n) (1 << (n))
#define INPUT(v) for(auto &x : (v))cin >> x;
#pragma GCC optimize("Ofast,no-stack-protector",3)
typedef long long ll;
using namespace std;
vector<pair<double,double>> torri;
ll n,L;
bool good(double r){
priority_queue<pair<double,double>, vector<pair<double,double>>, greater<pair<double,double>>> s;
for(auto a:torri){
double x = a.first, y = a.second;
if (abs(y) <= r - 1e-6)s.push({max(0.0,x-sqrt(r*r-y*y)),min((double)L,x+sqrt(r*r-y*y))});
}
double curr = 0;
while(!s.empty()){
if(curr >= L)return true;
auto seg = s.top();
s.pop();
if(seg.first <= curr){
curr = seg.second;
}
else return false;
}
if(curr < L)return false;
return true;
}
void solve(){
cin >> n >> L;
torri = vector<pair<double,double>>(n);
for(int i = 0; i < n; i++){
cin >> torri[i].first >> torri[i].second;
}
double l = 1, r = 20e14;
double ans = r;
while(r-l >= 0.000001){
double c = (r+l)/2;
//cout << c << endl;
if(good(c)){
ans = min(ans,c);
r = c;
}
else{
l = c;
}
}
cout << ans << endl;
}
int main(){
cout << setprecision(18);
ios::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
solve();
return 0;
}
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