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;
void fastio() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
}
int main() {
fastio();
int n, len;
cin >> n >> len;
vector<pair<int, int>> v(n);
for (int i = 0; i < n; ++i) {
int a, b;
cin >> a >> b;
v[i] = {a, b};
}
double l = 0.0, r = 1e10;
while (r - l > 1e-3) {
double radius = (l + r) / 2.0;
double cur = 0;
for (int j = 0; j < n; ++j) {
int x = v[j].first;
int y= v[j].second;
double a = sqrt( radius * radius - y * y);
if (x - a <= cur) cur = max(x + a, cur);
}
if (cur >= len) {
r = radius;
} else {
l = radius;
}
}
cout << setprecision(20) << r;
return 0;
}
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