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() {
int n, sz;
cin >> n >> sz;
vector<pair<long long, long long>> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i].first >> a[i].second;
}
double l = 1, r = 2e9;
while (r - l > 1e-3) {
double mid = (l + r) / 2, j = 0;
vector<pair<int, int>> s;
for (int i = 0; i < n; i++) {
double temp = sqrt(mid * mid - a[i].second * a[i].second);
double left = a[i].first - temp, right = a[i].first + temp;
s.push_back({left, right});
if (left <= j) j = max(j, right);
}
if (j >= sz) r = mid;
else l = mid;
}
cout << fixed << setprecision(6) << l << endl;
}
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