結果

問題 No.1678 Coin Trade (Multiple)
ユーザー rniyarniya
提出日時 2021-09-10 22:45:16
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 1,573 ms / 5,000 ms
コード長 10,020 bytes
コンパイル時間 2,615 ms
コンパイル使用メモリ 227,724 KB
実行使用メモリ 35,476 KB
最終ジャッジ日時 2023-09-02 19:50:12
合計ジャッジ時間 26,406 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge15
このコードへのチャレンジ（β）

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
4,368 KB
testcase_01 AC 1 ms
4,372 KB
testcase_02 AC 1 ms
4,368 KB
testcase_03 AC 105 ms
16,552 KB
testcase_04 AC 674 ms
27,628 KB
testcase_05 AC 295 ms
33,776 KB
testcase_06 AC 225 ms
31,060 KB
testcase_07 AC 579 ms
19,348 KB
testcase_08 AC 390 ms
21,540 KB
testcase_09 AC 333 ms
34,036 KB
testcase_10 AC 81 ms
8,372 KB
testcase_11 AC 480 ms
26,108 KB
testcase_12 AC 73 ms
8,252 KB
testcase_13 AC 1,125 ms
32,084 KB
testcase_14 AC 274 ms
16,076 KB
testcase_15 AC 353 ms
25,228 KB
testcase_16 AC 99 ms
25,244 KB
testcase_17 AC 329 ms
34,544 KB
testcase_18 AC 2 ms
4,372 KB
testcase_19 AC 1 ms
4,368 KB
testcase_20 AC 2 ms
4,372 KB
testcase_21 AC 2 ms
4,372 KB
testcase_22 AC 2 ms
4,372 KB
testcase_23 AC 1 ms
4,368 KB
testcase_24 AC 2 ms
4,372 KB
testcase_25 AC 2 ms
4,372 KB
testcase_26 AC 2 ms
4,376 KB
testcase_27 AC 2 ms
4,376 KB
testcase_28 AC 1 ms
4,368 KB
testcase_29 AC 2 ms
4,368 KB
testcase_30 AC 1 ms
4,368 KB
testcase_31 AC 1 ms
4,372 KB
testcase_32 AC 1 ms
4,368 KB
testcase_33 AC 2 ms
4,372 KB
testcase_34 AC 2 ms
4,368 KB
testcase_35 AC 1 ms
4,372 KB
testcase_36 AC 2 ms
4,368 KB
testcase_37 AC 2 ms
4,368 KB
testcase_38 AC 2 ms
4,368 KB
testcase_39 AC 2 ms
4,372 KB
testcase_40 AC 1 ms
4,368 KB
testcase_41 AC 2 ms
4,372 KB
testcase_42 AC 2 ms
4,368 KB
testcase_43 AC 2 ms
4,372 KB
testcase_44 AC 2 ms
4,368 KB
testcase_45 AC 2 ms
4,368 KB
testcase_46 AC 2 ms
4,368 KB
testcase_47 AC 2 ms
4,372 KB
testcase_48 AC 1,479 ms
35,412 KB
testcase_49 AC 1,560 ms
35,416 KB
testcase_50 AC 1,534 ms
35,464 KB
testcase_51 AC 1,476 ms
35,324 KB
testcase_52 AC 1,487 ms
35,424 KB
testcase_53 AC 1,505 ms
35,476 KB
testcase_54 AC 1,573 ms
35,352 KB
testcase_55 AC 1,534 ms
35,460 KB
testcase_56 AC 1,506 ms
35,436 KB
testcase_57 AC 1,469 ms
35,432 KB
testcase_58 AC 730 ms
32,208 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 # 

#define LOCAL
#include <bits/stdc++.h>
using namespace std;
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(), (x).end()

template <typename T> istream& operator>>(istream& is, vector<T>& v) {
    for (T& x : v) is >> x;
    return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
    for (int i = 0; i < (int)v.size(); i++) {
        os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
    }
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) {
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& m) {
    os << '{';
    for (auto itr = m.begin(); itr != m.end();) {
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr != m.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const unordered_map<T, U>& m) {
    os << '{';
    for (auto itr = m.begin(); itr != m.end();) {
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr != m.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const set<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const multiset<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const unordered_set<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const deque<T>& v) {
    for (int i = 0; i < (int)v.size(); i++) {
        os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
    }
    return os;
}

template <int i, typename T> void print_tuple(ostream&, const T&) {}
template <int i, typename T, typename H, class... Args> void print_tuple(ostream& os, const T& t) {
    if (i) os << ',';
    os << get<i>(t);
    print_tuple<i + 1, T, Args...>(os, t);
}
template <typename... Args> ostream& operator<<(ostream& os, const tuple<Args...>& t) {
    os << '{';
    print_tuple<0, tuple<Args...>, Args...>(os, t);
    return os << '}';
}

void debug_out() { cerr << '\n'; }
template <class Head, class... Tail> void debug_out(Head&& head, Tail&&... tail) {
    cerr << head;
    if (sizeof...(Tail) > 0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...)                                                                   \
    cerr << " ";                                                                     \
    cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \
    cerr << " ";                                                                     \
    debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }

int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(long long t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }

template <class T> T ceil(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? (x + y - 1) / y : x / y);
}
template <class T> T floor(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? x / y : (x - y + 1) / y);
}

template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
#pragma endregion

/**
 * @brief Topological Sort
 * @docs docs/graph/TopologicalSort.md
 */
struct TopologicalSort {
    vector<vector<int>> G;
    vector<int> seen, order;
    TopologicalSort(int n) : G(n), seen(n) {}
    void add_edge(int u, int v) { G[u].emplace_back(v); }
    void dfs(int v) {
        seen[v] = 1;
        for (int u : G[v]) {
            if (!seen[u]) dfs(u);
        }
        order.emplace_back(v);
    }
    vector<int> build() {
        for (int i = 0; i < (int)G.size(); i++) {
            if (!seen[i]) dfs(i);
        }
        reverse(order.begin(), order.end());
        return order;
    }
    int operator[](int i) { return order[i]; }
};

/**
 * @brief Primal Dual
 * @docs docs/flow/PrimalDual.md
 */
template <typename T, typename E> struct PrimalDual {
    const E inf = numeric_limits<E>::max() / 3;
    struct edge {
        int to, rev;
        T cap;
        E cost;
        edge(int to, T cap, E cost, int rev) : to(to), cap(cap), cost(cost), rev(rev) {}
    };
    vector<vector<edge>> G;
    vector<pair<int, int>> pos;
    vector<E> h, dist;
    vector<int> prevv, preve;
    PrimalDual(int n) : G(n), h(n), dist(n), prevv(n), preve(n) {}
    int add_edge(int from, int to, T cap, E cost) {
        pos.emplace_back(from, G[from].size());
        G[from].emplace_back(to, cap, cost, G[to].size());
        G[to].emplace_back(from, 0, -cost, G[from].size() - 1);
        return pos.size() - 1;
    }
    tuple<int, int, T, T, E> get_edge(int i) {
        auto e = G[pos[i].first][pos[i].second];
        auto re = G[e.to][e.rev];
        return {pos[i].first, e.to, e.cap + re.cap, re.cap, e.cost};
    }
    vector<tuple<int, int, T, T, E>> edges() {
        vector<tuple<int, int, T, T, E>> res;
        for (int i = 0; i < (int)pos.size(); i++) {
            res.emplace_back(get_edge(i));
        }
        return res;
    }
    void potential_dag(int s) {
        for (int v = 0; v < G.size(); v++) {
            for (int i = 0; i < (int)G[v].size(); i++) {
                auto& e = G[v][i];
                if (e.cap <= 0) continue;
                int u = e.to;
                h[u] = min(h[u], h[v] + e.cost);
            }
        }
    }
    void dijkstra(int s) {
        struct P {
            E c;
            int v;
            P(E c, int v) : c(c), v(v) {}
            bool operator<(const P& rhs) const { return c > rhs.c; }
        };
        priority_queue<P> pq;
        fill(dist.begin(), dist.end(), inf);
        dist[s] = 0;
        pq.emplace(dist[s], s);
        while (!pq.empty()) {
            auto p = pq.top();
            pq.pop();
            int v = p.v;
            if (dist[v] < p.c) continue;
            for (int i = 0; i < (int)G[v].size(); i++) {
                auto& e = G[v][i];
                if (e.cap > 0 && dist[e.to] > dist[v] + e.cost + h[v] - h[e.to]) {
                    dist[e.to] = dist[v] + e.cost + h[v] - h[e.to];
                    prevv[e.to] = v;
                    preve[e.to] = i;
                    pq.emplace(dist[e.to], e.to);
                }
            }
        }
    }
    vector<pair<T, E>> slope(int s, int t, T lim) {
        T f = 0;
        E c = 0, pre = -1;
        vector<pair<T, E>> res;
        res.emplace_back(f, c);
        potential_dag(s);
        while (f < lim) {
            dijkstra(s);
            if (dist[t] == inf) break;
            for (int v = 0; v < (int)G.size(); v++) h[v] += dist[v];
            T d = lim - f;
            for (int v = t; v != s; v = prevv[v]) {
                d = min(d, G[prevv[v]][preve[v]].cap);
            }
            for (int v = t; v != s; v = prevv[v]) {
                auto& e = G[prevv[v]][preve[v]];
                e.cap -= d;
                G[v][e.rev].cap += d;
            }
            f += d;
            c += h[t] * d;
            if (pre == h[t]) res.pop_back();
            res.emplace_back(f, c);
            pre = c;
        }
        return res;
    }
    E min_cost_flow(int s, int t, T f) {
        auto res = slope(s, t, f).back();
        return res.first == f ? res.second : -1;
    }
    pair<T, E> min_cost_max_flow(int s, int t) { return slope(s, t, numeric_limits<T>::max()).back(); }
    vector<pair<T, E>> min_cost_slope(int s, int t) { return slope(s, t, numeric_limits<T>::max()); }
};

const int INF = 1e9;
const long long IINF = 1e18;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const char dir[4] = {'D', 'R', 'U', 'L'};
const long long MOD = 1000000007;
// const long long MOD = 998244353;

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N, K;
    cin >> N >> K;
    vector<int> A(N), M(N);
    vector<vector<int>> B(N);
    for (int i = 0; i < N; i++) {
        cin >> A[i] >> M[i];
        for (int j = 0; j < M[i]; j++) {
            int b;
            cin >> b;
            B[i].emplace_back(--b);
        }
    }

    TopologicalSort TS(2 * N + 1);
    int s = N, t = 2 * N;
    for (int i = 0; i < N; i++) {
        TS.add_edge(N + i, i);
        TS.add_edge(i, N + i + 1);
        TS.add_edge(N + i, N + i + 1);
        for (int& j : B[i]) TS.add_edge(j, i);
    }
    TS.build();
    vector<int> ord(2 * N + 1);
    for (int i = 0; i <= 2 * N; i++) ord[TS[i]] = i;

    PrimalDual<int, ll> PD(2 * N + 1);
    for (int i = 0; i < N; i++) {
        PD.add_edge(ord[N + i], ord[i], K, A[i]);
        PD.add_edge(ord[i], ord[N + i + 1], K, -A[i]);
        PD.add_edge(ord[N + i], ord[N + i + 1], K, 0);
        for (int& j : B[i]) PD.add_edge(ord[j], ord[i], 1, 0);
    }

    ll ans = -PD.min_cost_flow(ord[s], ord[t], K);
    cout << ans << '\n';
    return 0;
}
0