結果

問題 No.2320 Game World for PvP
ユーザー 👑 rin204rin204
提出日時 2023-05-27 00:24:33
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 4 ms / 2,000 ms
コード長 15,066 bytes
コンパイル時間 3,488 ms
コンパイル使用メモリ 266,308 KB
実行使用メモリ 4,388 KB
最終ジャッジ日時 2023-08-26 14:25:09
合計ジャッジ時間 4,878 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
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 1 ms
4,376 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 2 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 3 ms
4,380 KB
testcase_05 AC 4 ms
4,380 KB
testcase_06 AC 3 ms
4,380 KB
testcase_07 AC 3 ms
4,380 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 3 ms
4,384 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 2 ms
4,376 KB
testcase_12 AC 2 ms
4,380 KB
testcase_13 AC 2 ms
4,376 KB
testcase_14 AC 2 ms
4,388 KB
testcase_15 AC 3 ms
4,380 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 2 ms
4,380 KB
testcase_18 AC 2 ms
4,380 KB
testcase_19 AC 2 ms
4,380 KB
testcase_20 AC 2 ms
4,380 KB
testcase_21 AC 2 ms
4,376 KB
testcase_22 AC 3 ms
4,380 KB
testcase_23 AC 3 ms
4,376 KB
testcase_24 AC 2 ms
4,380 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 2 ms
4,380 KB
testcase_27 AC 2 ms
4,380 KB
testcase_28 AC 3 ms
4,376 KB
testcase_29 AC 3 ms
4,380 KB
testcase_30 AC 3 ms
4,376 KB
testcase_31 AC 3 ms
4,376 KB
testcase_32 AC 1 ms
4,380 KB
testcase_33 AC 3 ms
4,380 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

// start A.cpp
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

using ll  = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));

#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)

#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)

vector<char> stoc(string &S) {
    int n = S.size();
    vector<char> ret(n);
    for (int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}

#define INT(...)                                                                                                                                                                                       \
    int __VA_ARGS__;                                                                                                                                                                                   \
    inp(__VA_ARGS__);
#define LL(...)                                                                                                                                                                                        \
    ll __VA_ARGS__;                                                                                                                                                                                    \
    inp(__VA_ARGS__);
#define STRING(...)                                                                                                                                                                                    \
    string __VA_ARGS__;                                                                                                                                                                                \
    inp(__VA_ARGS__);
#define CHAR(...)                                                                                                                                                                                      \
    char __VA_ARGS__;                                                                                                                                                                                  \
    inp(__VA_ARGS__);
#define VEC(T, A, n)                                                                                                                                                                                   \
    vector<T> A(n);                                                                                                                                                                                    \
    inp(A);
#define VVEC(T, A, n, m)                                                                                                                                                                               \
    vector<vector<T>> A(n, vector<T>(m));                                                                                                                                                              \
    inp(A);

const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;

template <class T>
auto min(const T &a) {
    return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
    return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}

void FLUSH() {
    cout << flush;
}
void print() {
    cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(forward<Tail>(tail)...);
}
template <typename T>
void print(vector<T> &A) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << ' ';
    }
    cout << endl;
}
template <typename T>
void print(vector<vector<T>> &A) {
    for (auto &row : A) print(row);
}
template <typename T, typename S>
void print(pair<T, S> &A) {
    cout << A.first << spa << A.second << endl;
}
template <typename T, typename S>
void print(vector<pair<T, S>> &A) {
    for (auto &row : A) print(row);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << sep;
    }
    cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
    cout << A << end;
}
template <typename T>
void priend(T A) {
    priend(A, spa);
}
template <class... T>
void inp(T &... a) {
    (cin >> ... >> a);
}
template <typename T>
void inp(vector<T> &A) {
    for (auto &a : A) cin >> a;
}
template <typename T>
void inp(vector<vector<T>> &A) {
    for (auto &row : A) inp(row);
}
template <typename T, typename S>
void inp(pair<T, S> &A) {
    inp(A.first, A.second);
}
template <typename T, typename S>
void inp(vector<pair<T, S>> &A) {
    for (auto &row : A) inp(row.first, row.second);
}

template <typename T>
T sum(vector<T> &A) {
    T tot = 0;
    for (auto a : A) tot += a;
    return tot;
}

template <typename T>
vector<T> compression(vector<T> X) {
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;
}

vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<int>> edges(n, vector<int>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if (!direct) edges[v].push_back(u);
    }
    return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
    return read_edges(n, n - 1, false, indexed);
}
template <typename T>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if (!direct) edges[v].push_back({u, w});
    }
    return edges;
}
template <typename T>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

inline bool yes(bool f = true) {
    cout << (f ? "yes" : "no") << endl;
    return f;
}
inline bool Yes(bool f = true) {
    cout << (f ? "Yes" : "No") << endl;
    return f;
}
inline bool YES(bool f = true) {
    cout << (f ? "YES" : "NO") << endl;
    return f;
}

inline bool no(bool f = true) {
    cout << (!f ? "yes" : "no") << endl;
    return f;
}
inline bool No(bool f = true) {
    cout << (!f ? "Yes" : "No") << endl;
    return f;
}
inline bool NO(bool f = true) {
    cout << (!f ? "YES" : "NO") << endl;
    return f;
}

// start atcoder/maxflow.hpp
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1

#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>

// start atcoder/internal_queue.hpp
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1

#include <vector>

namespace atcoder {

    namespace internal {

        template <class T>
        struct simple_queue {
            std::vector<T> payload;
            int pos = 0;
            void reserve(int n) {
                payload.reserve(n);
            }
            int size() const {
                return int(payload.size()) - pos;
            }
            bool empty() const {
                return pos == int(payload.size());
            }
            void push(const T &t) {
                payload.push_back(t);
            }
            T &front() {
                return payload[pos];
            }
            void clear() {
                payload.clear();
                pos = 0;
            }
            void pop() {
                pos++;
            }
        };

    } // namespace internal

} // namespace atcoder

#endif // ATCODER_INTERNAL_QUEUE_HPP

// end atcoder/internal_queue.hpp
// restart atcoder/maxflow.hpp

namespace atcoder {

    template <class Cap>
    struct mf_graph {
      public:
        mf_graph() : _n(0) {}
        explicit mf_graph(int n) : _n(n), g(n) {}

        int add_edge(int from, int to, Cap cap) {
            assert(0 <= from && from < _n);
            assert(0 <= to && to < _n);
            assert(0 <= cap);
            int m = int(pos.size());
            pos.push_back({from, int(g[from].size())});
            int from_id = int(g[from].size());
            int to_id   = int(g[to].size());
            if (from == to) to_id++;
            g[from].push_back(_edge{to, to_id, cap});
            g[to].push_back(_edge{from, from_id, 0});
            return m;
        }

        struct edge {
            int from, to;
            Cap cap, flow;
        };

        edge get_edge(int i) {
            int m = int(pos.size());
            assert(0 <= i && i < m);
            auto _e  = g[pos[i].first][pos[i].second];
            auto _re = g[_e.to][_e.rev];
            return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
        }
        std::vector<edge> edges() {
            int m = int(pos.size());
            std::vector<edge> result;
            for (int i = 0; i < m; i++) {
                result.push_back(get_edge(i));
            }
            return result;
        }
        void change_edge(int i, Cap new_cap, Cap new_flow) {
            int m = int(pos.size());
            assert(0 <= i && i < m);
            assert(0 <= new_flow && new_flow <= new_cap);
            auto &_e  = g[pos[i].first][pos[i].second];
            auto &_re = g[_e.to][_e.rev];
            _e.cap    = new_cap - new_flow;
            _re.cap   = new_flow;
        }

        Cap flow(int s, int t) {
            return flow(s, t, std::numeric_limits<Cap>::max());
        }
        Cap flow(int s, int t, Cap flow_limit) {
            assert(0 <= s && s < _n);
            assert(0 <= t && t < _n);
            assert(s != t);

            std::vector<int> level(_n), iter(_n);
            internal::simple_queue<int> que;

            auto bfs = [&]() {
                std::fill(level.begin(), level.end(), -1);
                level[s] = 0;
                que.clear();
                que.push(s);
                while (!que.empty()) {
                    int v = que.front();
                    que.pop();
                    for (auto e : g[v]) {
                        if (e.cap == 0 || level[e.to] >= 0) continue;
                        level[e.to] = level[v] + 1;
                        if (e.to == t) return;
                        que.push(e.to);
                    }
                }
            };
            auto dfs = [&](auto self, int v, Cap up) {
                if (v == s) return up;
                Cap res     = 0;
                int level_v = level[v];
                for (int &i = iter[v]; i < int(g[v].size()); i++) {
                    _edge &e = g[v][i];
                    if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
                    Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
                    if (d <= 0) continue;
                    g[v][i].cap += d;
                    g[e.to][e.rev].cap -= d;
                    res += d;
                    if (res == up) return res;
                }
                level[v] = _n;
                return res;
            };

            Cap flow = 0;
            while (flow < flow_limit) {
                bfs();
                if (level[t] == -1) break;
                std::fill(iter.begin(), iter.end(), 0);
                Cap f = dfs(dfs, t, flow_limit - flow);
                if (!f) break;
                flow += f;
            }
            return flow;
        }

        std::vector<bool> min_cut(int s) {
            std::vector<bool> visited(_n);
            internal::simple_queue<int> que;
            que.push(s);
            while (!que.empty()) {
                int p = que.front();
                que.pop();
                visited[p] = true;
                for (auto e : g[p]) {
                    if (e.cap && !visited[e.to]) {
                        visited[e.to] = true;
                        que.push(e.to);
                    }
                }
            }
            return visited;
        }

      private:
        int _n;
        struct _edge {
            int to, rev;
            Cap cap;
        };
        std::vector<std::pair<int, int>> pos;
        std::vector<std::vector<_edge>> g;
    };

} // namespace atcoder

#endif // ATCODER_MAXFLOW_HPP

// end atcoder/maxflow.hpp
// restart A.cpp

void solve() {
    INT(n, S, T);
    vec(int, er, n, -1);
    fori(S) {
        INT(e);
        er[e - 1] = 0;
    }
    fori(T) {
        INT(r);
        er[r - 1] = 1;
    }
    VVEC(ll, C, n, n);

    ll ans = 0;
    fori(i, n) fori(j, i + 1, n) {
        if (er[i] != -1 && er[i] == er[j]) ans += C[i][j];
    }
    const ll inf = 1LL << 60;
    atcoder::mf_graph<ll> G(2 + n + n * n);
    int s = n * n + n;
    int t = s + 1;

    fori(i, n) {
        if (er[i] != -1) continue;
        ll e = 0;
        ll r = 0;
        fori(j, n) {
            if (er[j] == 0)
                e += C[i][j];
            else if (er[j] == 1)
                r += C[i][j];
        }
        ans += e;
        G.add_edge(s, i, e);
        ans += r;
        G.add_edge(i, t, r);

        fori(j, i + 1, n) {
            if (er[j] == -1) {
                int p = n + i * n + j;
                ans += C[i][j];
                G.add_edge(s, p, C[i][j]);
                G.add_edge(p, i, inf);
                G.add_edge(p, j, inf);

                p = n + j * n + i;
                ans += C[i][j];
                G.add_edge(p, t, C[i][j]);
                G.add_edge(i, p, inf);
                G.add_edge(j, p, inf);
            }
        }
    }
    ans -= G.flow(s, t);
    print(ans);
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    // cout << fixed << setprecision(12);
    int t;
    t = 1;
    // cin >> t;
    while (t--) solve();
    return 0;
}

// end A.cpp
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