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;
using ll = long long;
using ld = long double;
struct P {
ll x, y;
};
vector<P> a;
int n, L;
bool ok(double r) {
double curr = 0;
for(int i = 0; i < n; i++) {
if (r * r < a[i].y * a[i].y) continue;
double sol = sqrt(r * r - a[i].y * a[i].y);
double left = max((double) 0, a[i].x - sol);
double right = min((double) L, a[i].x + sol);
if (left <= curr) {
curr = max(curr, right);
}
}
return curr >= L;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> L;
a.resize(n);
for(auto& i : a) {
cin >> i.x >> i.y;
}
double l = 0, r = 1e9;
double ans = r;
for(int rep = 0; rep < 39; rep++) {
double mid = (l + r) / 2;
if (ok(mid)) {
r = mid;
ans = mid;
}
else {
l = mid;
}
}
cout << fixed << setprecision(6) << ans << "\n";
}
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