#698111 (C++17) No.1678 Coin Trade (Multiple)

提出ソース

結果

問題	No.1678 Coin Trade (Multiple)
ユーザー	haruki_K
提出日時	2021-09-10 21:59:53
言語	C++17 (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	1,098 ms / 5,000 ms
コード長	11,888 bytes
コンパイル時間	2,948 ms
コンパイル使用メモリ	228,916 KB
実行使用メモリ	20,948 KB
最終ジャッジ日時	2023-09-02 17:32:01
合計ジャッジ時間	21,314 ms
ジャッジサーバーID （参考情報）	judge11 / judge13

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	2 ms 4,372 KB
testcase_02	AC	2 ms 4,368 KB
testcase_03	AC	90 ms 13,320 KB
testcase_04	AC	543 ms 17,744 KB
testcase_05	AC	221 ms 20,176 KB
testcase_06	AC	164 ms 18,744 KB
testcase_07	AC	483 ms 14,184 KB
testcase_08	AC	311 ms 15,092 KB
testcase_09	AC	244 ms 20,140 KB
testcase_10	AC	105 ms 9,036 KB
testcase_11	AC	376 ms 16,624 KB
testcase_12	AC	95 ms 8,780 KB
testcase_13	AC	827 ms 19,496 KB
testcase_14	AC	265 ms 13,104 KB
testcase_15	AC	269 ms 16,504 KB
testcase_16	AC	70 ms 16,212 KB
testcase_17	AC	244 ms 20,568 KB
testcase_18	AC	2 ms 4,372 KB
testcase_19	AC	1 ms 4,560 KB
testcase_20	AC	2 ms 4,368 KB
testcase_21	AC	2 ms 4,368 KB
testcase_22	AC	1 ms 4,372 KB
testcase_23	AC	2 ms 4,372 KB
testcase_24	AC	2 ms 4,372 KB
testcase_25	AC	2 ms 4,368 KB
testcase_26	AC	2 ms 4,372 KB
testcase_27	AC	1 ms 4,368 KB
testcase_28	AC	2 ms 4,368 KB
testcase_29	AC	2 ms 4,368 KB
testcase_30	AC	2 ms 4,368 KB
testcase_31	AC	1 ms 4,368 KB
testcase_32	AC	2 ms 4,368 KB
testcase_33	AC	2 ms 4,372 KB
testcase_34	AC	2 ms 4,376 KB
testcase_35	AC	2 ms 4,372 KB
testcase_36	AC	1 ms 4,372 KB
testcase_37	AC	2 ms 4,372 KB
testcase_38	AC	2 ms 4,372 KB
testcase_39	AC	1 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 4,372 KB
testcase_43	AC	2 ms 4,368 KB
testcase_44	AC	2 ms 4,372 KB
testcase_45	AC	1 ms 4,368 KB
testcase_46	AC	2 ms 4,368 KB
testcase_47	AC	2 ms 4,368 KB
testcase_48	AC	1,068 ms 20,888 KB
testcase_49	AC	1,065 ms 20,892 KB
testcase_50	AC	1,080 ms 20,920 KB
testcase_51	AC	1,081 ms 20,900 KB
testcase_52	AC	1,057 ms 20,948 KB
testcase_53	AC	1,017 ms 20,916 KB
testcase_54	AC	1,030 ms 20,888 KB
testcase_55	AC	1,058 ms 20,864 KB
testcase_56	AC	1,064 ms 20,948 KB
testcase_57	AC	1,098 ms 20,848 KB
testcase_58	AC	374 ms 18,344 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

raw source code

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)
#define loop(i, a, B) for (int i = a; i B; i++)
#define loopR(i, a, B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define rng(x, l, r) begin(x) + (l), begin(x) + (r)
#define pb push_back
#define eb emplace_back
#define fst first
#define snd second
template <class A, class B> constexpr auto mp(A &&a, B &&b) { return make_pair(forward<A>(a), forward<B>(b)); }
template <class... T> constexpr auto mt(T&&... x) { return make_tuple(forward<T>(x)...); }
template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf_<int32_t>;
auto constexpr INF64 = inf_<int64_t>;
auto constexpr INF   = inf_<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } };
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T, d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }
constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }
constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }
constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };
constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
mt19937_64 seed_{random_device{}()};
template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }
i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]
u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //
template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }
template <class T> vector<T> &operator--(vector<T> &v) { for (T &x : v) --x; return v; }
template <class T> vector<T> &operator++(vector<T> &v) { for (T &x : v) ++x; return v; }
// <<<
// >>> min cost flow
template <class Flow, class Cost>
struct MinCostFlow { // Primal-Dual
    static constexpr Cost inf = numeric_limits<Cost>::max();
    static constexpr Flow EPS = 1e-10; //

    struct Edge {
        int32_t to, rev, id;
        Flow cap;
        Cost cost;
        Edge(int to, int rev, int id, Flow cap, Cost cost)
            : to(to), rev(rev), id(id), cap(cap), cost(cost) {}
    };
    vector<vector<Edge>> g;
    vector<pair<int32_t, int32_t>> es;
    vector<Cost> h; // potential
    vector<int32_t> pv, pe; // previous vertex/edge index
    int V, E = 0, s = -1, t = -1;
    Flow next_cap = 0;
    Cost next_cost = 0;
    bool neg_edge = false;

    MinCostFlow(int V = 0) : g(V), h(V), pv(V, -1), pe(V, -1), V(V) {}
    void add_edge(int from, int to, Flow cap, Cost cost) {
        assert(from != to);
        es.emplace_back(from, g[from].size());
        g[from].emplace_back(to, g[to].size(), E, cap, cost);
        g[to].emplace_back(from, g[from].size()-1, E, 0, -cost);
        E++;
        if (cost < -EPS) neg_edge = true;
    }

    struct edge_t {
        int32_t from, to;
        Flow flow, cap;
        Cost cost;
    };
    Edge& internal_edge(int id) {
        assert(0 <= id); assert(id < (int)es.size());
        int from, idx; tie(from, idx) = es[id];
        return g[from][idx];
    }
    edge_t edge(int id) const {
        assert(0 <= id); assert(id < (int)es.size());
        int32_t from, idx; tie(from, idx) = es[id];
        auto const& e = g[from][idx];
        auto const& r = g[e.to][e.rev];
        return { from, e.to, r.cap, e.cap+r.cap, e.cost };
    }
    vector<edge_t> edges() const {
        vector<edge_t> ret(E);
        rep (id, E) ret[id] = edge(id);
        return ret;
    }

    template <class T> static constexpr bool chmin(T &x, T const& y) {
        return x > y ? (x = y, true) : false;
    };
    bool BellmanFord(int s) { // use old h
        say("called");
        fill(h.begin(), h.end(), inf);
        h[s] = 0;
        bool update = false;
        rep (_, V-1) {
            update = false;
            rep (x, V) if (h[x] < inf) {
                rep (i, g[x].size()) {
                    auto const& e = g[x][i];
                    if (e.cap > EPS && chmin(h[e.to], h[x] + e.cost)) {
                        pv[e.to] = x, pe[e.to] = i;
                        update = true;
                    }
                }
            }
            if (not update) break;
        }
        assert(not update); // todo: cancel negative loops
        return true;
    }
    void Dijkstra(int s) { // use old h
        say("called");
        using P = pair<Cost, int32_t>;
        priority_queue<P, vector<P>, greater<P>> q;
        vector<Cost> d(V, inf);
        d[s] = 0;
        q.emplace(0, s);
        while (q.size()) {
            int val, x; tie(val, x) = q.top(); q.pop();
            if (d[x] < val) continue;
            rep (i, g[x].size()) {
                auto const& e = g[x][i];
                auto cost = e.cost + h[x] - h[e.to];
                if (e.cap > EPS && chmin(d[e.to], d[x] + cost)) {
                    pv[e.to] = x, pe[e.to] = i;
                    q.emplace(d[e.to], e.to);
                }
            }
        }
        rep (x, V) if (d[x] < inf) h[x] += d[x]; else h[x] = inf;
    }
    bool dp(int s) { // use old h
        say("called");
        vector<int32_t> top_ord, deg(V);
        vector<vector<int32_t>> G(V);
        for (auto [x, i] : es) {
            int y = g[x][i].to;
            deg[y]++;
            G[x].push_back(i);
        }
        rep (x, V) if (deg[x] == 0) top_ord.push_back(x);
        for (int i = 0; i < (int)top_ord.size(); ++i) {
            int x = top_ord[i];
            for (int i : G[x]) {
                int y = g[x][i].to;
                if (--deg[y] == 0) top_ord.push_back(y);
            }
        }
        if ((int)top_ord.size() < V) return false;

        vector<Cost> d(V, inf);
        d[s] = 0;
        for (int x : top_ord) {
            if (d[x] >= inf-EPS) continue;
            for (int i : G[x]) {
                auto const& e = g[x][i];
                auto cost = e.cost + h[x] - h[e.to];
                if (e.cap > EPS && chmin(d[e.to], d[x] + cost)) {
                    pv[e.to] = x, pe[e.to] = i;
                }
            }
        }
        rep (x, V) if (d[x] < inf) h[x] += d[x]; else h[x] = inf;
        return true;
    }
    bool calc_next(int s = -1, int t = -1) {
        if (t < 0) s = this-> s, t = this->t;
        if (neg_edge) dp(s) or BellmanFord(s), neg_edge = false; else Dijkstra(s);
        if (h[t] >= inf) {
            next_cap = 0, next_cost = inf;
            return false;
        }
        next_cap = numeric_limits<Flow>::max();
        for (int x = t; x != s; x = pv[x]) chmin(next_cap, g[pv[x]][pe[x]].cap);
        next_cost = h[t];
        return next_cap > EPS;
    }
    void add_flow(Flow flow, int s = -1, int t = -1) {
        if (t < 0) s = this-> s, t = this->t;
        for (int x = t; x != s; x = pv[x]) {
            auto &e = g[pv[x]][pe[x]];
            e.cap -= flow;
            g[x][e.rev].cap += flow;
        }
    }
    pair<Cost, bool> min_cost_flow(int s, int t, Flow flow) {
        this->s = s, this->t = t;
        Cost cost = 0;
        while (flow > EPS) {
            if (not calc_next()) return { cost, false };
            auto f = min(flow, next_cap);
            add_flow(f);
            flow -= f;
            cost += f * next_cost;
        }
        return { cost, true };
    }

#ifdef LOCAL
    friend string to_s(MinCostFlow a) {
        string ret = "\n";
        ret += "V = " + to_s(a.V) + ", E = " + to_s(a.E) + "\n";
        ret += "s = " + to_s(a.s) + ", t = " + to_s(a.t) + "\n";
        for (auto const& p : a.es) {
            auto const& e = a.g[p.first][p.second];
            auto const& r = a.g[e.to][e.rev];
            ret += to_s(e.id) + " : ";
            ret += to_s(p.first) + "->" + to_s(e.to) + ", ";
            ret += "flow " + to_s(r.cap) + "/" + to_s(e.cap+r.cap) + ", ";
            ret += "cost " + to_s(e.cost) + "\n";
        }
        return ret;
    }
#endif

};
// <<<

int32_t main() {
    int n, k; cin >> n >> k;
    vector<int> a(n);
    vector<vector<int>> b(n);
    rep (i, n) {
        cin >> a[i];
        int m; cin >> m;
        b[i].resize(m);
        cin >> b[i]; --b[i];
    }

    MinCostFlow<int, int> g(n);
    rep (i, n-1) g.add_edge(i, i+1, INF, 0);
    rep (i, n) {
        for (int j : b[i]) {
            g.add_edge(j, i, 1, a[j] - a[i]);
        }
    }

    auto [cost, ok] = g.min_cost_flow(0, n-1, k);
    cout << -cost << '\n';

}

yukicoder

結果

テストケース

ソースコード