Submission #396473

#TimeUsernameProblemLanguageResultExecution timeMemory
396473KoDOlympiads (BOI19_olympiads)C++17
0 / 100
10 ms2360 KiB
#include <bits/stdc++.h> template <class T> using Vec = std::vector<T>; template <class F> struct RecLambda: private F { explicit RecLambda(F&& f): F(std::forward<F>(f)) { } template <class... Args> decltype(auto) operator () (Args&&... args) const { return F::operator()(*this, std::forward<Args>(args)...); } }; struct State { int sum; Vec<int> idx; Vec<bool> use; bool operator < (const State& other) const { return sum < other.sum; } }; int main() { int N, K; long long C; std::cin >> N >> K >> C; Vec<Vec<int>> get(N, Vec<int>(K)); for (auto& v: get) { for (auto& x: v) { std::cin >> x; } } Vec<Vec<int>> order(K, Vec<int>(N)); for (int i = 0; i < K; ++i) { auto& vec = order[i]; std::iota(vec.begin(), vec.end(), 0); std::stable_sort(vec.begin(), vec.end(), [&](const int x, const int y) { return get[x][i] > get[y][i]; }); } Vec<Vec<long long>> binom(N + 1, Vec<long long>(K + 1)); binom[0][0] = 1; for (int i = 1; i <= N; ++i) { binom[i][0] = 1; for (int j = 1; j <= K; ++j) { binom[i][j] = binom[i - 1][j] + binom[i - 1][j - 1]; } } const auto calc = [&](State& state) { state.sum = 0; for (int i = 0; i < K; ++i) { state.sum += get[order[i][state.idx[i]]][i]; state.use[order[i][state.idx[i]]] = false; } }; State initial { 0, Vec<int>(K, 0), Vec<bool>(N, true), }; calc(initial); std::priority_queue<State> que; que.push(std::move(initial)); while (!que.empty()) { const auto state = que.top(); que.pop(); std::set<int> set; for (int i = 0; i < K; ++i) { set.insert(order[i][state.idx[i]]); } C -= binom[std::count(state.use.begin(), state.use.end(), true)][K - (int) set.size()]; if (C <= 0) { std::cout << state.sum << '\n'; return 0; } for (int i = 0; i < K; ++i) { State next = state; auto& idx = next.idx[i]; while (idx < N and !next.use[order[i][idx]]) { idx += 1; } if (idx < N) { calc(next); que.push(std::move(next)); } } } return 0; }
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