結果

問題 No.1615 Double Down
ユーザー hitonanode
提出日時 2021-08-17 02:28:49
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 5,120 bytes
コンパイル時間 1,169 ms
コンパイル使用メモリ 88,888 KB
最終ジャッジ日時 2025-01-23 22:41:14
ジャッジサーバーID
（参考情報） 		judge4 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 32 TLE * 22
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ソースコード

diff #
プレゼンテーションモードにする

#line 1 "combinatorial_opt/test/mcf_costscaling.yuki1615.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/1615"
#line 2 "data_structure/light_forward_list.hpp"
#include <vector>
// CUT begin
// Simple forward_list for MLE-sensitive situations
// Verify: <http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_14_D>
template <typename T> struct light_forward_list {
    static std::vector<unsigned> ptr;
    static std::vector<T> val;
    unsigned head;
    light_forward_list() : head(0) {}
    void push_front(T x) {
        ptr.push_back(head), val.push_back(x);
        head = ptr.size() - 1;
    }
    struct iterator {
        unsigned p;
        iterator operator++() { return {p = ptr[p]}; }
        T &operator*() { return val[p]; }
        bool operator!=(const iterator &rhs) { return p != rhs.p; }
    };
    iterator begin() { return {head}; }
    iterator end() { return {0}; }
};
template <typename T> std::vector<unsigned> light_forward_list<T>::ptr = {0};
template <typename T> std::vector<T> light_forward_list<T>::val = {T()};
#line 3 "combinatorial_opt/mcf_costscaling.hpp"
#include <cassert>
#include <deque>
#include <limits>
// Cost scaling
// https://people.orie.cornell.edu/dpw/orie633/
// Implementation idea: https://yukicoder.me/submissions/680169
template <class Cap, class Cost> struct mcf_costscaling {
    mcf_costscaling() = default;
    mcf_costscaling(int n) : _n(n), to(n), b(n), p(n) {
        static_assert(std::numeric_limits<Cap>::max() > 0, "max() must be greater than 0");
    }
    int _n;
    std::vector<Cap> cap;
    std::vector<Cost> cost;
    std::vector<int> opposite;
    std::vector<light_forward_list<int>> to;
    std::vector<Cap> b;
    std::vector<Cost> p;
    void 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_);
        cost_ *= (_n + 1);
        int e = int(cap.size());
        to[from_].push_front(e);
        cap.push_back(cap_);
        cost.push_back(cost_);
        opposite.push_back(to_);
        to[to_].push_front(e + 1);
        cap.push_back(0);
        cost.push_back(-cost_);
        opposite.push_back(from_);
    }
    void add_supply(int v, Cap supply) { b[v] += supply; }
    void add_demand(int v, Cap demand) { add_supply(v, -demand); }
    Cost flow(int SCALING = 1) {
        Cost eps = 1;
        for (const auto c : cost) {
            while (eps <= -c) eps <<= SCALING;
        }
        for (; eps >>= SCALING;) {
            for (int e = 0; e < int(cap.size()); e += 2) {
                const int i = opposite[e ^ 1], j = opposite[e];
                const Cost cp_ij = cost[e] + p[i] - p[j];
                if (cap[e] and cp_ij < 0) {
                    b[i] -= cap[e], b[j] += cap[e], cap[e ^ 1] += cap[e], cap[e] = 0;
                } else if (cap[e ^ 1] and cp_ij > 0) {
                    b[i] += cap[e ^ 1], b[j] -= cap[e ^ 1], cap[e] += cap[e ^ 1], cap[e ^ 1] = 0;
                }
            }
            std::deque<int> q;
            for (int i = 0; i < _n; i++) {
                if (b[i] > 0) q.push_back(i);
            }
            while (q.size()) {
                const int i = q.front();
                q.pop_front();
                for (auto e : to[i]) { // Push
                    if (!cap[e]) continue;
                    int j = opposite[e];
                    Cost cp_ij = cost[e] + p[i] - p[j];
                    if (cp_ij >= 0) continue;
                    Cap f = b[i] > cap[e] ? cap[e] : b[i];
                    if (b[j] <= 0 and b[j] + f > 0) q.push_back(j);
                    b[i] -= f, b[j] += f, cap[e] -= f, cap[e ^ 1] += f;
                    if (!b[i]) break;
                }
                if (b[i] > 0) { // Relabel
                    bool flg = false;
                    for (int e : to[i]) {
                        if (!cap[e]) continue;
                        Cost x = p[opposite[e]] - cost[e] - eps;
                        if (!flg or x > p[i]) flg = true, p[i] = x;
                    }
                    q.push_back(i);
                }
            }
        }
        Cost ret = 0;
        for (int e = 0; e < int(cap.size()); e += 2) ret += cost[e] * cap[e ^ 1];
        return ret / (_n + 1);
    }
};
#line 3 "combinatorial_opt/test/mcf_costscaling.yuki1615.test.cpp"
#include <iostream>
using namespace std;
int main() {
    int N, M, K, L;
    cin >> N >> M >> K >> L;
    mcf_costscaling<int, long long> mcf(N + M + 2);
    long long ret = 0;
    for (int l = 0; l < L; l++) {
        int x, y, z;
        cin >> x >> y >> z;
        x--, y--;
        mcf.add_supply(y + N, 1);
        mcf.add_demand(x, 1);
        mcf.add_edge(y + N, x, 1, 1LL << z);
        ret += 1LL << z;
    }
    const int gs = N + M, gt = gs + 1;
    for (int i = 0; i < N; i++) mcf.add_edge(gs, i, 1, 0);
    for (int j = 0; j < M; j++) mcf.add_edge(N + j, gt, 1, 0);
    mcf.add_edge(gs, gt, N + M, 0);
    mcf.add_supply(gs, N + M);
    mcf.add_demand(gt, N + M);
    cout << ret - mcf.flow(2) << '\n';
}
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