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 fastio() ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vll vector<ll>
#define vpii vector<pii>
#define vpll vector<pll>
#define vvi vector<vi>
#define ff first
#define ss second
#define endl "\n"
#define pb(x) push_back(x)
#define pp() pop_back()
#define inf LONG_MAX
#define dvg(x) cout<<#x<<" "<<x<<endl;
#define dvg2(x, y) cout<<#x<<" "<<x<<" "<<#y<<" "<<y<<endl;
#define dvgv(x) cout<<#x<<" { "; for(auto i : x) {cout<<i<<" ";} cout<<"}"<<endl;
#define dvgp(x) cout<<#x" {"<<x.ff<<", "<<x.ss<<"}"<<endl;
int dx[] {-1, 0, 1, 0, 1, 1, -1, -1};
int dy[] = {0, 1, 0, -1, 1, -1, 1, -1};
int const N = 1e5 + 10;
double const eps = 1e-3;
int main()
{
fastio();
int n;
ll l;
cin>>n>>l;
vector<pll> v(n);
for(int i = 0; i < n; i++)
cin>>v[i].ff>>v[i].ss;
double lo = 0, hi = 1.5e9;
for(int it = 0; it < 65; it++){
double mid = (hi + lo)/2;
double cur = 0;
for(int i = 0; i < n; i++){
double p = sqrt(mid*mid - v[i].ss*v[i].ss);
double a = v[i].ff - p, b = v[i].ff + p;
if(a <= cur) cur = max(cur, b);
}
if(cur >= l)
hi = mid;
else
lo = mid;
}
cout<<setprecision(12)<<fixed<<lo<<endl;
}
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