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 ll long long
#define ar array
const int mxN = 1000000;
int n, l, x[mxN], y[mxN];
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cout << fixed << setprecision(4);
cin >> n >> l;
for (int i = 0; i < n; ++i) cin >> x[i] >> y[i];
double lb = 0, rb = 1.5e9;
while(rb - lb > 1e-4) {
double mid = (lb + rb) / 2;
double cur = 0;
for (int i = 0; i < n; ++i) {
if (mid > abs(y[i])) {
double r = sqrt(mid * mid - (ll)y[i] * y[i]);
double a = x[i] - r, b = x[i] + r;
if (a <= cur) cur = max(cur, b);
}
}
if (cur > l) rb = mid;
else lb = mid;
}
cout << lb;
return 0;
}
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