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>
#define ll long long
using namespace std;
pair<ll, ll> p[1000000];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, len;
cin >> n >> len;
for (int i=0; i<n; i++) cin >> p[i].first >> p[i].second;
double lower = 1;
double upper = 1.5e9;
while (upper - lower > 1e-3) {
double mid = (upper + lower) / 2;
double currPoint = 0;
for (int i=0; i<n; i++) {
ll x = p[i].first;
ll y = p[i].second;
double delta = sqrt(mid * mid - y * y);
double p1 = x - delta;
double p2 = x + delta;
if (p1 <= currPoint) {
currPoint = max(currPoint, p2);
}
}
if (currPoint < len) {
lower = mid;
} else {
upper = mid;
}
}
cout << setprecision(4) << lower;
}
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