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;
const int MAXN = 1e6 + 5;
int N, L;
pair <int, int> p[MAXN];
void you_make_it(void) {
cin >> N >> L;
for (int i = 0; i < N; ++i) cin >> p[i].first >> p[i].second;
double l = 0, r = 1.5e9;
while(r - l > 1e-6) {
double mid = (l + r) / 2.0, res = 0;
for (int i = 0; i < N; ++i) {
double dist = sqrt(mid * mid - 1LL * p[i].second * p[i].second);
double a = p[i].first - dist, b = p[i].first + dist;
if(a <= res) res = max(res, b);
}
if(res <= L) l = mid;
else r = mid;
}
cout << fixed << setprecision(6) << l;
}
signed main() {
#ifdef LOCAL
freopen("TASK.inp", "r", stdin);
freopen("TASK.out", "w", stdout);
#endif
auto start_time = chrono::steady_clock::now();
cin.tie(0), cout.tie(0) -> sync_with_stdio(0);
you_make_it();
auto end_time = chrono::steady_clock::now();
cerr << "\nExecution time : " << chrono::duration_cast <chrono::milliseconds> (end_time - start_time).count() << "[ms]" << endl;
return (0 ^ 0);
}
// Dream it. Wish it. Do it.
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