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 long long
#define double long double
#define pi pair<int,int>
#define vi vector<int>
#define rep(i,x,n) for(int i=x; i<n; ++i)
#define For(i,n) rep(i,0,n)
#define pb push_back
#define endl "\n"
#define sp ' '
#define f first
#define s second
#define sz size()
#define all(x) (x).begin(),(x).end()
const int N = 3e5+10, OO = 1e18, mod = 1e9+7;
void tr(int a, int b){cout << a << sp << b << endl;}
void cmx(int &a, int b){a = max(a,b);}
void cmn(int &a, int b){a = min(a,b);}
vector <pi> v;
int n,L;
bool cmp(const pi &a, const pi &b){
return (a.f==b.f ? abs(a.s) < abs(b.s): a.f < b.f);
}
bool ok(double m){
double mn = -2e9, mx = 2e9, z = 0;
For(i,n){
auto [x,y] = v[i];
if(y*y > m*m) continue;
double d = sqrt(m * m - y * y);
if(x-d <= z){
z = max(z,x+d);
}
if(x-d < mn) mn = x-d;
if(mx < x+d) mx = x+d;
}
return (mn <= 0 && L <= mx && z >= L);
}
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0);
cin >> n >> L;
For(i,n){
int x,y; cin >> x >> y;
v.pb({x,y});
}
sort(all(v),cmp);
double l = 0, r = 1e12;
For(i,100){
double m = (l+r)/2;
bool b = ok(m);
if(b) r = m;
else l = m;
}
cout << setprecision(10) << r << endl;
return 0;
}
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