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 int long long
using namespace std;
namespace std {
template <typename T> ostream &operator<<(ostream &out, const vector<T> &vec) {
out << "[";
for (int i = 0; i < (int)vec.size(); ++i) {
out << vec[i];
if (i + 1 < (int)vec.size())
out << ", ";
}
return out << "]";
}
} // namespace std
void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
cout << ' ' << H;
dbg_out(T...);
}
#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
double sq(int x) { return x * x; }
signed main(void) {
ios_base::sync_with_stdio(false);
cin.tie(0);
int N;
cin >> N;
vector<int> x(N);
vector<double> r(N);
for (int i = 0; i < N; ++i) {
cin >> x[i] >> r[i];
}
stack<pair<int, double>> stk;
for (int i = 0; i < N; ++i) {
while (!stk.empty()) {
auto [X, R] = stk.top();
r[i] = min(r[i], sq(X - x[i]) / (4 * R));
if (r[i] > R)
stk.pop();
else
break;
}
stk.emplace(x[i], r[i]);
}
for (int i = 0; i < N; ++i) {
cout << setprecision(15) << fixed << r[i] << '\n';
}
}
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