This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// BalticOI2012 - Mobile
#include <bits/stdc++.h>
using namespace std;
using LL = long long;
#define _for(i, a, b) for (int i = (a); i < (int)(b); ++i)
const int NN = 1e6 + 4;
int X[NN], Y[NN];
int main() {
ios::sync_with_stdio(false), cin.tie(0);
int N, L;
cin >> N >> L;
// scanf("%d%d", &N, &L);
for (int i = 0; i < N; i++)
cin >> X[i] >> Y[i]; // scanf("%d%d", X + i, Y + i);
double l = 1, r = 1.5e9;
while (r - l > 1e-3) {
double m = (l + r) / 2, curr = 0;
for (int i = 0; i < N; i++) {
double y = Y[i], delta = sqrt(m * m - y * y), a = X[i] - delta,
b = X[i] + delta;
if (a <= curr) curr = max(curr, b);
if (curr >= L) break;
}
(curr >= L ? r : l) = m;
}
printf("%.4lf\n", l);
return 0;
}
// 499716 Mobile (BOI12_mobile) C++11 100 / 100 405ms 27384KB
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