제출 #714919

#제출 시각아이디문제언어결과실행 시간메모리
714919MilosMilutinovicBalloons (CEOI11_bal)C++14
20 / 100
963 ms5452 KiB
#include <bits/stdc++.h> using i64 = long long; const double eps = 1E-6; double solve(double x1, double r, double x2) { double low = 0, high = 1.001E9, R = 0; while (high - low >= eps) { double mid = (low + high) / 2; double dist = std::sqrt((long double) (x1 - x2) * (x1 - x2) + (long double) (r - mid) * (r - mid)); if (dist >= r + mid) { R = mid; low = mid; } else { high = mid; } } return R; } int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int n; std::cin >> n; std::vector<double> x(n), r(n); for (int i = 0; i < n; i++) { std::cin >> x[i] >> r[i]; } std::vector<int> stk; for (int i = 0; i < n; i++) { double prv = 1.1E9; for (int j = stk.size() - 1; j >= 0; j--) { double nr = solve(x[stk[j]], r[stk[j]], x[i]); if (nr < r[i]) { r[i] = nr; } else { if (prv <= nr) { break; } prv = nr; } } while (!stk.empty() && r[i] > r[stk.back()]) { stk.pop_back(); } stk.push_back(i); std::cout << std::fixed << std::setprecision(5) << r[i] << "\n"; } return 0; }
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