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 ALL(x) (x).begin(), (x).end()
#define REP(i, a, b) for (int i = (a); i < (b); i++)
#define READ(arr, n) for (int i = 0; i < (n); i++) cin >> arr[i];
#define ABS(a) (max((a), -(a)))
#define MOD 1000000007
using namespace std;
typedef long long ll;
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
int n; double l;
cin >> n >> l;
double x[n];
double y[n];
for (int i = 0; i < n; i++) cin >> x[i] >> y[i];
double left = 0;
double right = l;
while ((right-left) > (0.0001)){
double mid = (left+right)/2;
bool coversAll = true;
pair<double, double> ranges[n];
for (int i = 0; i < n; i++){
double sqr = sqrt(max(mid*mid-y[i]*y[i], double(0)));
ranges[i].first = x[i]-sqr;
ranges[i].second = x[i]+sqr;
}
sort(ranges, ranges+n);
if (ranges[0].first > 0) coversAll = false;
if (ranges[n-1].second < l) coversAll = false;
for (int i = 0; i < (n-1) && coversAll; i++){
if (ranges[i].second < ranges[i+1].first) coversAll = false;
}
if (coversAll){
right = mid;
}else{
left = mid;
}
}
cout << left << endl;
}
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