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 x first
#define y second
using namespace std;
pair<long long, long long> p[1000000];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, len;
cin >> n >> len;
for (int i = 0; i < n; i++) cin >> p[i].x >> p[i].y;
double l = 1, r = 5e8;
while (r - l > 1e-3) {
double mid = (l + r) / 2, curr = 0;
for (int i = 0; i < n; i++) {
double delta = sqrt(mid * mid - p[i].y * p[i].y);
double a = p[i].x - delta, b = p[i].x + delta;
if (a <= curr) curr = max(curr, b);
}
if (curr >= len) r = mid;
else l = mid;
}
cout << fixed << setprecision(4) << l;
return 0;
}
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