結果

問題 No.957 植林
ユーザー hitonanodehitonanode
提出日時 2021-08-26 23:20:11
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 84 ms / 2,000 ms
コード長 5,721 bytes
コンパイル時間 1,371 ms
コンパイル使用メモリ 95,472 KB
実行使用メモリ 9,276 KB
最終ジャッジ日時 2024-11-18 21:58:38
合計ジャッジ時間 5,054 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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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
5,248 KB
testcase_03 AC 34 ms
8,384 KB
testcase_04 AC 34 ms
8,384 KB
testcase_05 AC 35 ms
8,652 KB
testcase_06 AC 43 ms
8,900 KB
testcase_07 AC 33 ms
8,528 KB
testcase_08 AC 22 ms
8,476 KB
testcase_09 AC 21 ms
8,604 KB
testcase_10 AC 24 ms
8,796 KB
testcase_11 AC 23 ms
8,732 KB
testcase_12 AC 22 ms
8,464 KB
testcase_13 AC 17 ms
7,624 KB
testcase_14 AC 23 ms
8,892 KB
testcase_15 AC 20 ms
8,640 KB
testcase_16 AC 18 ms
7,616 KB
testcase_17 AC 19 ms
8,240 KB
testcase_18 AC 66 ms
8,620 KB
testcase_19 AC 67 ms
8,740 KB
testcase_20 AC 69 ms
8,616 KB
testcase_21 AC 72 ms
8,888 KB
testcase_22 AC 75 ms
8,880 KB
testcase_23 AC 79 ms
9,140 KB
testcase_24 AC 81 ms
9,140 KB
testcase_25 AC 84 ms
9,276 KB
testcase_26 AC 83 ms
9,148 KB
testcase_27 AC 84 ms
9,152 KB
testcase_28 AC 84 ms
9,276 KB
testcase_29 AC 84 ms
9,148 KB
testcase_30 AC 84 ms
9,276 KB
testcase_31 AC 66 ms
8,496 KB
testcase_32 AC 67 ms
8,616 KB
testcase_33 AC 70 ms
8,620 KB
testcase_34 AC 73 ms
8,756 KB
testcase_35 AC 75 ms
9,004 KB
testcase_36 AC 78 ms
9,140 KB
testcase_37 AC 81 ms
9,140 KB
testcase_38 AC 83 ms
9,276 KB
testcase_39 AC 84 ms
9,152 KB
testcase_40 AC 83 ms
9,276 KB
testcase_41 AC 15 ms
9,272 KB
testcase_42 AC 15 ms
9,276 KB
testcase_43 AC 22 ms
9,144 KB
testcase_44 AC 21 ms
9,276 KB
testcase_45 AC 2 ms
5,248 KB
testcase_46 AC 2 ms
5,248 KB
testcase_47 AC 2 ms
5,248 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 # 

#line 1 "combinatorial_opt/test/maxflow.pushrelabel.yuki957.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/957"
#line 2 "combinatorial_opt/maxflow_pushrelabel.hpp"
#include <cassert>
#include <limits>
#include <utility>
#include <vector>

// Maxflow (push-relabel, highest-label)
// Complexity: O(N^2 M^(1/2))
template <class Cap, Cap INF = std::numeric_limits<Cap>::max() / 2, bool UseGlobalRelabeling = true, bool UseGapRelabeling = true>
struct mf_pushrelabel {
    struct pque_ {
        std::vector<std::pair<int, int>> even_, odd_;
        int se, so;
        void init(int n) { even_.resize(n), odd_.resize(n), se = so = 0; };
        void clear() { se = so = 0; }
        bool empty() const { return se + so == 0; }
        void push(int i, int h) { (h & 1 ? odd_[so++] : even_[se++]) = {i, h}; }
        int highest() const {
            int a = se ? even_[se - 1].second : -1, b = so ? odd_[so - 1].second : -1;
            return a > b ? a : b;
        }
        int pop() {
            if (!se or (so and odd_[so - 1].second > even_[se - 1].second)) {
                return odd_[--so].first;
            } else {
                return even_[--se].first;
            }
        }
    } pque;
    int _n;
    struct _edge {
        int to, rev;
        Cap cap;
    };
    std::vector<std::vector<_edge>> g;
    std::vector<std::pair<int, int>> pos;
    mf_pushrelabel(int n) : _n(n), g(n) { static_assert(INF > 0, "INF must be positive."); }
    int add_edge(int from, int to, Cap cap) {
        assert(0 <= from and from < _n);
        assert(0 <= to and to < _n);
        assert(0 <= cap);
        int m = int(pos.size());
        pos.emplace_back(from, int(g[from].size()));
        int from_id = g[from].size(), to_id = g[to].size() + (from == to);
        g[from].push_back({to, to_id, cap});
        g[to].push_back({from, from_id, Cap(0)});
        return m;
    }

    std::vector<int> dist;
    std::vector<int> dcnt;
    std::vector<Cap> excess;
    int gap;
    void global_relabeling(int t) {
        dist.assign(_n, _n), dist[t] = 0;
        static std::vector<int> q;
        if (q.empty()) q.resize(_n);
        q[0] = t;
        int qb = 0, qe = 1;
        pque.clear();
        if (UseGapRelabeling) gap = 1, dcnt.assign(_n * 2, 0);

        while (qb < qe) {
            int now = q[qb++];
            if (UseGapRelabeling) gap = dist[now] + 1, dcnt[dist[now]]++;
            if (excess[now] > 0) pque.push(now, dist[now]);
            for (const auto &e : g[now]) {
                if (g[e.to][e.rev].cap and dist[e.to] == _n) {
                    dist[e.to] = dist[now] + 1;
                    q[qe++] = e.to;
                }
            }
        }
    }
    Cap flow(const int &s, const int &t) {
        assert(0 <= s and s < _n);
        assert(0 <= t and t < _n);
        assert(s != t);
        excess.assign(_n, 0);
        excess[s] = INF, excess[t] = -INF;
        dist.assign(_n, 0);
        dist[s] = _n;
        pque.init(_n);
        for (auto &e : g[s]) push(s, e);
        if (UseGapRelabeling) gap = 1, dcnt.assign(_n * 2, 0), dcnt[0] = _n - 1;
        if (UseGlobalRelabeling) global_relabeling(t);
        int tick = _n;
        while (!pque.empty()) {
            int i = pque.pop();
            if (UseGapRelabeling and dist[i] > gap) continue;
            int dnxt = _n * 2 - 1;
            for (auto &e : g[i]) {
                if (!e.cap) continue;
                if (dist[e.to] == dist[i] - 1) {
                    push(i, e);
                    if (excess[i] == 0) break;
                } else {
                    if (dist[e.to] + 1 < dnxt) dnxt = dist[e.to] + 1;
                }
            }
            if (excess[i] > 0) {
                if (UseGapRelabeling) {
                    if (dnxt != dist[i]) {
                        dcnt[dist[i]]--, dcnt[dnxt]++;
                        if (!dcnt[dist[i]] and dist[i] < gap) gap = dist[i];
                    }
                    if (dnxt == gap) gap++;
                    while (pque.highest() > gap) pque.pop();
                    if (dnxt > gap) dnxt = _n;
                }
                dist[i] = dnxt;
                if (!UseGapRelabeling or dist[i] < gap) pque.push(i, dist[i]);
            }
            if (UseGlobalRelabeling and --tick == 0) tick = _n, global_relabeling(t);
        }
        return excess[t] + INF;
    }

    void push(int i, _edge &e) {
        Cap delta = e.cap < excess[i] ? e.cap : excess[i];
        excess[i] -= delta, e.cap -= delta;
        excess[e.to] += delta, g[e.to][e.rev].cap += delta;
        if (excess[e.to] > 0 and excess[e.to] <= delta) pque.push(e.to, dist[e.to]);
    }
};
#line 3 "combinatorial_opt/test/maxflow.pushrelabel.yuki957.test.cpp"
#include <algorithm>
#include <iostream>
#include <numeric>
using namespace std;

int main() {
    cin.tie(nullptr), ios::sync_with_stdio(false);
    int H, W;
    cin >> H >> W;
    vector<vector<int>> G(H, vector<int>(W));
    for (auto &v : G) {
        for (auto &x : v) cin >> x;
    }
    vector<int> R(H), C(W);
    for (auto &x : R) cin >> x;
    for (auto &x : C) cin >> x;
    long long tot = accumulate(R.begin(), R.end(), 0LL) + accumulate(C.begin(), C.end(), 0LL);

    long long f1 = 0;

    int Z = 1 + H + W;
    mf_pushrelabel<long long, 1LL << 60, false, true> g(Z + 1);

    for (int i = 0; i < H; i++) {
        auto gtot = accumulate(G[i].begin(), G[i].end(), 0LL);
        auto f0 = min<long long>(gtot, R[i]);
        f1 += f0;
        g.add_edge(0, i + 1, gtot - f0);
        for (int j = 0; j < W; j++) g.add_edge(i + 1, H + 1 + j, G[i][j]);
    }
    for (int j = 0; j < W; j++) g.add_edge(H + 1 + j, Z, C[j]);
    cout << tot - f1 - g.flow(0, Z) << '\n';
}
0