#579741 (C++17) No.1288 yuki collection

提出ソース

結果

問題	No.1288 yuki collection
ユーザー	hitonanode
提出日時	2020-11-13 22:51:26
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2,417 ms / 5,000 ms
コード長	12,815 bytes
コンパイル時間	2,711 ms
コンパイル使用メモリ	223,836 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-07-22 21:52:00
合計ジャッジ時間	63,059 ms
ジャッジサーバーID （参考情報）	judge1 / judge2

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	2 ms 5,248 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	5 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	3 ms 5,376 KB
testcase_07	AC	2 ms 5,376 KB
testcase_08	AC	6 ms 5,376 KB
testcase_09	AC	3 ms 5,376 KB
testcase_10	AC	6 ms 5,376 KB
testcase_11	AC	3 ms 5,376 KB
testcase_12	AC	5 ms 5,376 KB
testcase_13	AC	2,243 ms 5,376 KB
testcase_14	AC	2,194 ms 5,376 KB
testcase_15	AC	1,887 ms 5,376 KB
testcase_16	AC	1,825 ms 5,376 KB
testcase_17	AC	2,335 ms 5,376 KB
testcase_18	AC	2,266 ms 5,376 KB
testcase_19	AC	2,303 ms 5,376 KB
testcase_20	AC	2,284 ms 5,376 KB
testcase_21	AC	2,038 ms 5,376 KB
testcase_22	AC	2,114 ms 5,376 KB
testcase_23	AC	2,087 ms 5,376 KB
testcase_24	AC	2,274 ms 5,376 KB
testcase_25	AC	2,319 ms 5,376 KB
testcase_26	AC	2,211 ms 5,376 KB
testcase_27	AC	2,315 ms 5,376 KB
testcase_28	AC	2,417 ms 5,376 KB
testcase_29	AC	2,207 ms 5,376 KB
testcase_30	AC	2,143 ms 5,376 KB
testcase_31	AC	2,132 ms 5,376 KB
testcase_32	AC	2,159 ms 5,376 KB
testcase_33	AC	1,242 ms 5,376 KB
testcase_34	AC	2,254 ms 5,376 KB
testcase_35	AC	2,292 ms 5,376 KB
testcase_36	AC	2,300 ms 5,376 KB
testcase_37	AC	2,380 ms 5,376 KB
testcase_38	AC	1,250 ms 5,376 KB
testcase_39	AC	1,241 ms 5,376 KB
testcase_40	AC	2,148 ms 5,376 KB
testcase_41	AC	2 ms 5,376 KB
testcase_42	AC	2 ms 5,376 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

#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> srtunq(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl
#else
#define dbg(x) {}
#endif

// MinCostFlow based on AtCoder Library, no namespace, no private variables, compatible with C++11
// Reference: <https://atcoder.github.io/ac-library/production/document_ja/mincostflow.html>
// **NO NEGATIVE COST EDGES**
template <class Cap, class Cost>
struct mcf_graph {
    mcf_graph() {}
    mcf_graph(int n) : _n(n), g(n) {}

    int add_edge(int from, int to, Cap cap, Cost cost) {
        assert(0 <= from && from < _n);
        assert(0 <= to && to < _n);
        assert(0 <= cap);
        assert(0 <= cost);
        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, cost});
        g[to].push_back(_edge{from, from_id, 0, -cost});
        return m;
    }

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

    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, _e.cost,
        };
    }
    std::vector<edge> edges() {
        int m = int(pos.size());
        std::vector<edge> result(m);
        for (int i = 0; i < m; i++) {
            result[i] = get_edge(i);
        }
        return result;
    }

    std::pair<Cap, Cost> flow(int s, int t) {
        return flow(s, t, std::numeric_limits<Cap>::max());
    }
    std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
        return slope(s, t, flow_limit).back();
    }
    std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
        return slope(s, t, std::numeric_limits<Cap>::max());
    }

    std::vector<Cost> dual, dist;
    std::vector<int> pv, pe;
    std::vector<bool> vis;
    bool _dual_ref(int s, int t) {
        std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
        std::fill(pv.begin(), pv.end(), -1);
        std::fill(pe.begin(), pe.end(), -1);
        std::fill(vis.begin(), vis.end(), false);
        struct Q {
            Cost key;
            int to;
            bool operator<(Q r) const { return key > r.key; }
        };
        std::priority_queue<Q> que;
        dist[s] = 0;
        que.push(Q{0, s});
        while (!que.empty()) {
            int v = que.top().to;
            que.pop();
            if (vis[v]) continue;
            vis[v] = true;
            if (v == t) break;
            // dist[v] = shortest(s, v) + dual[s] - dual[v]
            // dist[v] >= 0 (all reduced cost are positive)
            // dist[v] <= (n-1)C
            for (int i = 0; i < int(g[v].size()); i++) {
                auto e = g[v][i];
                if (vis[e.to] || !e.cap) continue;
                // |-dual[e.to] + dual[v]| <= (n-1)C
                // cost <= C - -(n-1)C + 0 = nC
                Cost cost = e.cost - dual[e.to] + dual[v];
                if (dist[e.to] - dist[v] > cost) {
                    dist[e.to] = dist[v] + cost;
                    pv[e.to] = v;
                    pe[e.to] = i;
                    que.push(Q{dist[e.to], e.to});
                }
            }
        }
        if (!vis[t]) {
            return false;
        }

        for (int v = 0; v < _n; v++) {
            if (!vis[v]) continue;
            // dual[v] = dual[v] - dist[t] + dist[v]
            //         = dual[v] - (shortest(s, t) + dual[s] - dual[t]) + (shortest(s, v) + dual[s] - dual[v])
            //         = - shortest(s, t) + dual[t] + shortest(s, v)
            //         = shortest(s, v) - shortest(s, t) >= 0 - (n-1)C
            dual[v] -= dist[t] - dist[v];
        }
        return true;
    }

    std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
        assert(0 <= s && s < _n);
        assert(0 <= t && t < _n);
        assert(s != t);
        // variants (C = maxcost):
        // -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
        // reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
        dual.assign(_n, 0), dist.assign(_n, 0);
        pv.assign(_n, 0), pe.assign(_n, 0);
        vis.assign(_n, false);
        Cap flow = 0;
        Cost cost = 0, prev_cost_per_flow = -1;
        std::vector<std::pair<Cap, Cost>> result;
        result.push_back({flow, cost});
        while (flow < flow_limit) {
            if (!_dual_ref(s, t)) break;
            Cap c = flow_limit - flow;
            for (int v = t; v != s; v = pv[v]) {
                c = std::min(c, g[pv[v]][pe[v]].cap);
            }
            for (int v = t; v != s; v = pv[v]) {
                auto& e = g[pv[v]][pe[v]];
                e.cap -= c;
                g[v][e.rev].cap += c;
            }
            Cost d = -dual[s];
            flow += c;
            cost += c * d;
            if (prev_cost_per_flow == d) {
                result.pop_back();
            }
            result.push_back({flow, cost});
            prev_cost_per_flow = d;
        }
        return result;
    }

    struct _edge {
        int to, rev;
        Cap cap;
        Cost cost;
    };

    int _n;
    std::vector<std::pair<int, int>> pos;
    std::vector<std::vector<_edge>> g;
};


// <https://kopricky.github.io/code/NetworkFlow/min_cost_flow_DAG.html>
template<typename CapType, typename CostType> class MinCostFlowDAG {
public:
    using Cat = CapType;
    using Cot = CostType;
    using pti = pair<Cot, int>;
    struct edge {
        int to, rev;
        Cat cap;
        Cot cost;
    };
    const int V;
    const Cot inf;
    vector<vector<edge> > G;
    vector<Cot> h, dist;
    vector<int> deg, ord, prevv, preve;
    MinCostFlowDAG(const int node_size) : V(node_size), inf(numeric_limits<Cot>::max()),
        G(V), h(V, inf), dist(V), deg(V, 0), prevv(V), preve(V){}
    void add_edge(const int from, const int to, const Cat cap, const Cot cost){
        if(cap == 0) return;
        G[from].push_back((edge){to, (int)G[to].size(), cap, cost});
        G[to].push_back((edge){from, (int)G[from].size() - 1, 0, -cost});
        ++deg[to];
    }
    bool tsort(){
        queue<int> que;
        for(int i = 0; i < V; ++i){
            if(deg[i] == 0) que.push(i);
        }
        while(!que.empty()){
            const int p = que.front();
            que.pop();
            ord.push_back(p);
            for(auto& e : G[p]){
                if(e.cap > 0 && --deg[e.to] == 0) que.push(e.to);
            }
        }
        return (*max_element(deg.begin(), deg.end()) == 0);
    }
    void calc_potential(const int s){
        h[s] = 0;
        for(const int v : ord){
            if(h[v] == inf) continue;
            for(const edge& e : G[v]){
                if(e.cap > 0) h[e.to] = min(h[e.to], h[v] + e.cost);
            }
        }
    }
    void Dijkstra(const int s){
        priority_queue<pti,vector<pti>,greater<pti> > que;
        fill(dist.begin(), dist.end(), inf);
        dist[s] = 0;
        que.push(pti(0, s));
        while(!que.empty()){
            pti p = que.top();
            que.pop();
            const int v = p.second;
            if(dist[v] < p.first) continue;
            for(int i = 0; i < (int)G[v].size(); ++i){
                edge& 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;
                    que.push(pti(dist[e.to], e.to));
                }
            }
        }
    }
    void update(const int s, const int t, Cat& f, Cot& res){
        for(int i = 0; i < V; i++){
            if(dist[i] != inf) h[i] += dist[i];
        }
        Cat d = f;
        for(int v = t; v != s; v = prevv[v]){
            d = min(d, G[prevv[v]][preve[v]].cap);
        }
        f -= d;
        res += h[t] * d;
        for(int v = t; v != s; v = prevv[v]){
            edge& e = G[prevv[v]][preve[v]];
            e.cap -= d;
            G[v][e.rev].cap += d;
        }
    }
    Cot solve(const int s, const int t, Cat f){
        if(!tsort()) assert(false); // not DAG
        calc_potential(s);
        Cot res = 0;
        while(f > 0){
            Dijkstra(s);
            if(dist[t] == inf) return -inf;
            update(s, t, f, res);
        }
        return res;
    }
};

constexpr int B = 501;
int main()
{
    int N;
    string S;
    cin >> N >> S;
    vector<lint> V(N);
    cin >> V;

    const int s = N * 5, t = s + 1;
    MinCostFlowDAG<int, lint> graph(t + 1);
    REP(d, 5) {
        REP(i, N - 1) {
            graph.add_edge(d * N + i, d * N + i + 1, N / 4, 0);
        }
    }
    graph.add_edge(s - 1, 0, N / 4, 0);

    REP(i, N)
    {
        int b = 0;
        if (S[i] == 'u') b = N * 1;
        if (S[i] == 'k') b = N * 2;
        if (S[i] == 'i') b = N * 3;
        int fr = b + i + N, to = b + i;
        graph.add_edge(s, fr, 1, 0);
        graph.add_edge(fr, to, 1, V[i]);
        graph.add_edge(to, t, 1, 0);
    }
    auto cost = graph.solve(s, t, N);
    cout << accumulate(ALL(V), 0LL) - cost << '\n';
}

yukicoder

結果

テストケース

ソースコード