Submission #1116628

#TimeUsernameProblemLanguageResultExecution timeMemory
1116628pemguimnBalloons (CEOI11_bal)C++17
10 / 100
104 ms6616 KiB
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5; int n, x[N], r[N]; long double ans[N]; long double calc(int i, int j){ double x1 = x[i], y1 = ans[i]; double x2 = x[j]; return (x1 * x1 + x2 * x2 - 2 * x1 * x2 ) / (4 * y1); } signed main(){ ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for(int i = 1; i <= n; i++){ cin >> x[i] >> r[i]; ans[i] = r[i]; } stack<int> st; for(int i = 1; i < n; i++){ long double reach = r[i]; if(st.size()) reach = min(reach, calc(st.top(), i)); ans[i] = reach; while(st.size() && calc(st.top(), i + 1) >= calc(i, i + 1)) st.pop(); st.push(i); } while(st.size()){ ans[n] = min(ans[n], calc(st.top(), n)); st.pop(); } for(int i = 1; i <= n; i++) cout << setprecision(3) << fixed << ans[i] << "\n"; return 0; }
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