Submission #1261749

#TimeUsernameProblemLanguageResultExecution timeMemory
1261749avighnaFestival (IOI25_festival)C++20
15 / 100
273 ms329196 KiB
#include <bits/stdc++.h> struct item { int64_t i, p, t; }; std::vector<int> max_coupons(int A, std::vector<int> P, std::vector<int> T) { const int n = P.size(); std::vector<item> a(n); for (int i = 0; i < n; ++i) { a[i] = {i, P[i], T[i]}; } std::sort(a.begin(), a.end(), [&](item i, item j) { return (j.p + i.p * i.t) * j.t < (i.p + j.p * j.t) * i.t; }); const int64_t inf = 1e15; const int lg = 200; std::vector dp(n, std::vector<int64_t>(std::min(n + 1, lg), -inf)); for (int i = 0; i < n; ++i) { for (int j = 0; j <= std::min(n, lg - 1); ++j) { if (j == 0) { dp[i][j] = A; continue; } if (j > i + 1) { dp[i][j] = -inf; continue; } if (i == 0) { dp[i][j] = A - a[i].p >= 0 ? (A - a[i].p) * a[i].t : -inf; continue; } dp[i][j] = dp[i - 1][j]; if (dp[i - 1][j - 1] - a[i].p >= 0) { dp[i][j] = std::max(dp[i][j], (dp[i - 1][j - 1] - a[i].p) * a[i].t); } } for (int j = 0; j <= std::min(n, lg - 1); ++j) { dp[i][j] = std::min(dp[i][j], inf); } } int max_ans = 0, corr_j = 0; for (int j = 0; j <= std::min(n, lg - 1); ++j) { if (dp[n - 1][j] < 0) { continue; } int got = j; if (got > max_ans) { max_ans = got; corr_j = j; } } std::vector<int> ans; int i = n - 1, j = corr_j; bool is_dp_inf = dp[i][j] == inf; while (i >= 0 and j > 0) { if (i == 0) { if (j != 0) { ans.push_back(a[i].i); j--; } i--; continue; } if (i != 0 and dp[i - 1][j - 1] - a[i].p >= 0 and (dp[i - 1][j - 1] - a[i].p) * a[i].t > dp[i - 1][j]) { j--; ans.push_back(a[i].i); } i--; } std::reverse(ans.begin(), ans.end()); while (is_dp_inf and !ans.empty() and ans.back() != n - 1) { ans.push_back(ans.back() + 1); } return ans; }
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