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;
template <class T>
bool chmin(T& _old, T _new) { return _old > _new && (_old = _new, true); }
template <class T>
bool chmax(T& _old, T _new) { return _old < _new && (_old = _new, true); }
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
#ifdef palilo
freopen("in", "r", stdin);
freopen("out", "w", stdout);
#endif
int n, l;
cin >> n >> l;
vector<pair<int, int>> a(n);
for (auto& [x, y] : a) cin >> x >> y;
double lo = 0, hi = sqrt(5e18);
while (hi - lo > 1e-4) {
double mid = (lo + hi) / 2, ed = 0;
for (const auto& [x, y] : a) {
double dx = sqrt(mid * mid - double(y) * y);
if (x - dx <= ed) chmax(ed, x + dx);
}
(ed < l ? lo : hi) = mid;
}
cout << fixed << setprecision(9)
<< (lo + hi) / 2;
}
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