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;
pair<long long, long long> tower[1000000];
long long n, l;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> l;
for (int i = 0; i < n; i++) {
cin >> tower[i].first >> tower[i].second;
}
double low = 0;
double high = 1.5e9;
while (high - low > 1e-3) {
double mid = (low + high) / 2;
double cur = 0;
for (int i = 0; i < n; i++) {
double delta = sqrt(mid * mid - tower[i].second * tower[i].second);
double a = tower[i].first - delta;
double b = tower[i].first + delta;
if (a <= cur) {
cur = max(cur, b);
}
}
if (cur > l) {
high = mid;
} else {
low = mid;
}
}
cout << fixed;
cout << setprecision(4);
cout << low << endl;
}
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