Submission #528445

#TimeUsernameProblemLanguageResultExecution timeMemory
528445WLZLet's Win the Election (JOI22_ho_t3)C++14
100 / 100
57 ms2304 KiB
#include <bits/stdc++.h> using namespace std; const double INF = 1.0 / 0.0; int main() { ios::sync_with_stdio(false); cin.tie(0); int n, k; cin >> n >> k; vector< pair<int, int> > states(n); for (int i = 0; i < n; i++) { cin >> states[i].second >> states[i].first; if (states[i].first == -1) states[i].first = 0x3f3f3f3f; } sort(states.begin(), states.end()); auto solve = [&](int m) { vector< vector<double> > dp(n + 1, vector<double>(k - m + 1, INF)); dp[0][0] = 0.0; for (int i = 0; i < n; i++) { for (int j = 0; j <= k - m; j++) { if (j < k - m) dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (double) states[i].second / (m + 1)); dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (i - j >= m ? 0.0 : (double) states[i].first / (i - j + 1))); } } return dp[n][k - m]; }; int l = 0, r = k; while (l < r - 2) { //cout << l << ' ' << r << endl; int m1 = l + (r - l) / 3, m2 = r - (r - l) / 3; double x1 = solve(m1), x2 = solve(m2); if (x1 >= x2) l = m1; if (x1 <= x2) r = m2; } double ans = INF; for (int i = l; i <= r; i++) ans = min(ans, solve(i)); cout << fixed << setprecision(10) << ans << '\n'; return 0; }
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