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 fi first
#define se second
#define pb push_back
#define all(x) x.begin(), x.end()
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
const int INF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3f;
const ll MOD = 1e9+7;
const int MAXN = 2e5+5;
void solve(){
int n; double l; cin >> n >> l;
vector<pair<double, double>> arr(n);
for(int i=0;i<n;i++) cin >> arr[i].fi >> arr[i].se;
double lo=0, hi=1e10;
while(hi-lo>=0.0001){
double mid=lo+(hi-lo)/2;
double lim=0;
for(int i=0;i<n;i++){
double dist=sqrt(mid*mid-arr[i].se*arr[i].se);
if(arr[i].fi-dist<=lim) lim=max(lim, arr[i].fi+dist);
}
if(lim>=l) hi=mid;
else lo=mid;
}
cout.precision(3);
cout.setf(ios::fixed);
cout << lo << "\n";
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
// freopen("loan.in","r",stdin);
// freopen("loan.out","w",stdout);
int tt=1;
// cin >> tt;
while(tt--) solve();
return 0;
}
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