Submission #988838

#TimeUsernameProblemLanguageResultExecution timeMemory
988838_callmelucianBalloons (CEOI11_bal)C++14
20 / 100
392 ms12112 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef pair<ll,ll> pl; typedef pair<ld,ld> pld; typedef pair<int,int> pii; typedef tuple<int,int,int> tt; #define all(a) a.begin(), a.end() #define filter(a) a.erase(unique(all(a)), a.end()) const ld INF = 1e18; const ld eps = 1e-9; const int mn = 2e5 + 5; ll x[mn], maxR[mn]; ld rad[mn]; bool ok (int j, int i, ld tryR) { ld tmp = (x[i] - x[j]) * (x[i] - x[j]); return tmp - 4 * rad[j] * tryR >= -eps; } ld calc (int j, int i, ld L = 0, ld R = INF) { if (abs(L - R) < eps) return L; ld mid = (L + R) / 2; if (ok(j, i, mid + eps)) return calc(j, i, mid + eps, R); return calc(j, i, L, mid); } int main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; for (int i = 1; i <= n; i++) cin >> x[i] >> maxR[i]; rad[1] = maxR[1]; cout << fixed << setprecision(9) << rad[1] << "\n"; vector<int> vec = {1}; for (int i = 2; i <= n; i++) { rad[i] = INF; int save = -1; for (int j = vec.size() - 1; j >= 0; j--) { ld cur = calc(vec[j], i, 0, maxR[i]); if (cur < rad[i] + eps) { rad[i] = cur; save = vec[j]; vec.pop_back(); } else break; } vec.push_back(save); vec.push_back(i); cout << rad[i] << "\n"; } return 0; }
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