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;
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
int n; double l; cin >> n >> l;
vector<pair<long long, long long>> a;
for (int i = 0; i < n; i++) {
long long x, y; cin >> x >> y;
a.push_back({x, y});
}
long double lo = 0, ri = 1e9;
while (fabs(lo - ri) > 1e-6) {
long double m = (lo + ri) / 2, cur = 0;
for (int i = 0; i < n; i++) {
long double d = sqrt(m * m - a[i].second * a[i].second);
if (a[i].first - d <= cur) cur = max(cur, a[i].first + d);
}
if (cur - l >= 1e-9) ri = m;
else lo = m;
}
cout << fixed << setprecision(12) << lo << "\n";
return 0;
};
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