結果

問題 No.943 取り調べ
ユーザー PachicobuePachicobue
提出日時 2019-12-05 22:32:29
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
RE  
実行時間 -
コード長 7,660 bytes
コンパイル時間 2,337 ms
コンパイル使用メモリ 219,764 KB
実行使用メモリ 395,512 KB
最終ジャッジ日時 2024-06-02 07:50:47
合計ジャッジ時間 6,015 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 1 ms
5,376 KB
testcase_02 AC 1 ms
5,376 KB
testcase_03 AC 1 ms
5,376 KB
testcase_04 RE -
testcase_05 AC 718 ms
395,512 KB
testcase_06 AC 704 ms
395,512 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 RE -
testcase_09 RE -
testcase_10 RE -
testcase_11 RE -
testcase_12 AC 2 ms
5,376 KB
testcase_13 RE -
testcase_14 RE -
testcase_15 RE -
testcase_16 AC 2 ms
5,376 KB
testcase_17 RE -
testcase_18 RE -
testcase_19 RE -
testcase_20 RE -
testcase_21 RE -
testcase_22 RE -
testcase_23 RE -
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ソースコード

diff #

#include <bits/stdc++.h>
// created [2019/12/05] 22:06:52
#pragma GCC diagnostic ignored "-Wsign-compare"
#pragma GCC diagnostic ignored "-Wsign-conversion"

using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
using uint = unsigned int;
using usize = std::size_t;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template<typename T> constexpr T popcount(const T u) { return u ? static_cast<T>(__builtin_popcountll(static_cast<u64>(u))) : static_cast<T>(0); }
template<typename T> constexpr T log2p1(const T u) { return u ? static_cast<T>(64 - __builtin_clzll(static_cast<u64>(u))) : static_cast<T>(0); }
template<typename T> constexpr T msbp1(const T u) { return log2p1(u); }
template<typename T> constexpr T lsbp1(const T u) { return __builtin_ffsll(u); }
template<typename T> constexpr T clog(const T u) { return u ? log2p1(u - 1) : static_cast<T>(u); }
template<typename T> constexpr bool ispow2(const T u) { return u and (static_cast<u64>(u) & static_cast<u64>(u - 1)) == 0; }
template<typename T> constexpr T ceil2(const T u) { return static_cast<T>(1) << clog(u); }
template<typename T> constexpr T floor2(const T u) { return u == 0 ? static_cast<T>(0) : static_cast<T>(1) << (log2p1(u) - 1); }
template<typename T> constexpr bool btest(const T mask, const usize ind) { return static_cast<bool>((static_cast<u64>(mask) >> ind) & static_cast<u64>(1)); }
template<typename T> void bset(T& mask, const usize ind) { mask |= (static_cast<T>(1) << ind); }
template<typename T> void breset(T& mask, const usize ind) { mask &= ~(static_cast<T>(1) << ind); }
template<typename T> void bflip(T& mask, const usize ind) { mask ^= (static_cast<T>(1) << ind); }
template<typename T> void bset(T& mask, const usize ind, const bool b) { (b ? bset(mask, ind) : breset(mask, ind)); }
template<typename T> constexpr T bcut(const T mask, const usize ind) { return ind == 0 ? static_cast<T>(0) : static_cast<T>((static_cast<u64>(mask) << (64 - ind)) >> (64 - ind)); }
template<typename T> bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template<typename T> bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
constexpr unsigned int mod                  = 1000000007;
template<typename T> constexpr T inf_v      = std::numeric_limits<T>::max() / 4;
template<typename Real> constexpr Real pi_v = Real{3.141592653589793238462643383279502884};

template<typename T>
T read()
{
    T v;
    return std::cin >> v, v;
}
template<typename T, typename... Args>
auto read(const usize size, Args... args)
{
    std::vector<decltype(read<T>(args...))> ans(size);
    for (usize i = 0; i < size; i++) { ans[i] = read<T>(args...); }
    return ans;
}
template<typename... Types>
auto reads() { return std::tuple<std::decay_t<Types>...>{read<Types>()...}; }
#    define SHOW(...) static_cast<void>(0)
constexpr ull TEN(const usize n) { return n == 0 ? 1ULL : TEN(n - 1) * 10ULL; }

template<typename T>
std::vector<T> make_v(const usize size, const T v) { return std::vector<T>(size, v); }
template<typename... Args>
auto make_v(const usize size, Args... args) { return std::vector<decltype(make_v(args...))>(size, make_v(args...)); }


template<typename Cost>
class base_graph
{
public:
    using cost_type = Cost;
    base_graph(const usize sz) : sz{sz}, edges(sz), rev_edges(sz) {}
    void add_edge(const usize from, const usize to, const Cost cost, const bool bi = false)
    {
        assert(from < sz), assert(to < sz);
        edges[from].push_back(edge{from, to, cost}), rev_edges[to].push_back(edge(to, from, cost));
        if (bi) { add_edge(to, from, cost, false); }
    }
    struct edge
    {
        edge(const usize from, const usize to, const Cost cost) : from{from}, to{to}, cost{cost} {}
        usize from, to;
        Cost cost;
        bool operator<(const edge& e) const { return cost != e.cost ? cost < e.cost : to < e.to; }
    };
    std::vector<edge>& operator[](const usize i) { return assert(i < sz), edges[i]; }
    const std::vector<edge>& operator[](const usize i) const { return assert(i < sz), edges[i]; }
    const std::vector<std::vector<edge>>& rev_edge() const { return rev_edges; }
    std::vector<std::vector<edge>>& rev_edge() { return rev_edges; }
    friend std::ostream& operator<<(std::ostream& os, const base_graph& g)
    {
        os << "[\n";
        for (usize i = 0; i < g.sz; i++) {
            for (const auto& e : g.edges[i]) { os << i << "->" << e.to << ":" << e.cost << "\n"; }
        }
        return (os << "]\n");
    }
    static usize to(const edge& e) { return e.to; }
    usize size() const { return sz; }

private:
    usize sz;
    std::vector<std::vector<edge>> edges, rev_edges;
};
template<>
class base_graph<void>
{
public:
    base_graph(const usize sz) : sz{sz}, edges(sz), rev_edges(sz) {}
    void add_edge(const usize from, const usize to, const bool bi = false)
    {
        assert(from < sz), assert(to < sz);
        edges[from].push_back(to), rev_edges[to].push_back(from);
        if (bi) { add_edge(to, from, false); }
    }
    std::vector<usize>& operator[](const usize i) { return assert(i < sz), edges[i]; }
    const std::vector<usize>& operator[](const usize i) const { return assert(i < sz), edges[i]; }
    const std::vector<std::vector<usize>>& rev_edge() const { return rev_edges; }
    std::vector<std::vector<usize>>& rev_edge() { return rev_edges; }
    friend std::ostream& operator<<(std::ostream& os, const base_graph& g)
    {
        os << "[\n";
        for (usize i = 0; i < g.sz; i++) {
            for (const usize to : g.edges[i]) { os << i << "->" << to << "\n"; }
        }
        return (os << "]\n");
    }
    static usize to(const usize e) { return e; }
    usize size() const { return sz; }

private:
    usize sz;
    std::vector<std::vector<usize>> edges, rev_edges;
};
using graph = base_graph<void>;
using tree  = graph;
template<typename Cost>
using cost_graph = base_graph<Cost>;
template<typename Cost>
using cost_tree = cost_graph<Cost>;
template<typename Cost>
std::pair<bool, std::vector<usize>> top_sort(const base_graph<Cost>& g)
{
    const usize v = g.size();
    std::vector<usize> srt, used(v, 0);
    auto dfs = [&](auto&& self, const usize s) -> bool {
        if (used[s] == 1) {
            return false;
        } else if (used[s] == 0) {
            used[s] = 1;
            for (const auto& e : g[s]) {
                const usize to = base_graph<Cost>::to(e);
                if (not self(self, to)) { return false; }
            }
            used[s] = 2, srt.push_back(s);
        }
        return true;
    };
    for (usize i = 0; i < v; i++) {
        if (not dfs(dfs, i)) { return {false, srt}; }
    }
    std::reverse(srt.begin(), srt.end());
    return {true, srt};
}
int main()
{
    const int N  = read<int>();
    const auto X = read<int>(N, N);
    const auto A = read<int>(N);
    const int M  = 1 << N;
    int ans      = inf_v<int>;
    std::vector<graph> gs;
    gs.push_back(graph(N));
    std::vector<int> ss(M, std::accumulate(A.begin(), A.end(), 0));
    std::vector<bool> dag(M, true);
    for (int m = 1; m < M; m++) {
        int p = 0;
        for (; p < N; p++) {
            if (btest(m, p)) { break; }
        }
        const int pm = m - (1 << p);
        if (not dag[pm]) { continue; }
        ss[m] = ss[pm] - A[p];
        gs.push_back(gs[pm]);
        for (int i = 0; i < N; i++) {
            if (X[i][p] == 1) { gs[m].add_edge(p, i); }
        }
        SHOW(m, gs[m]);
        dag[m] = top_sort(gs[m]).first;
        if (dag[m]) { chmin(ans, ss[m]); }
    }
    std::cout << ans << std::endl;
    return 0;
}
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