結果

問題 No.1479 Matrix Eraser
コンテスト
ユーザー kuhaku
提出日時 2025-05-10 15:55:17
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 877 ms / 3,000 ms
コード長 9,561 bytes
コンパイル時間 4,453 ms
コンパイル使用メモリ 320,672 KB
実行使用メモリ 91,976 KB
最終ジャッジ日時 2025-05-10 15:55:37
合計ジャッジ時間 19,443 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
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 * 2
other AC * 39
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 # 

// competitive-verifier: PROBLEM https://yukicoder.me/problems/no/1479
#include <algorithm>
#include <iterator>
#include <vector>
/// @brief 座標圧縮
template <class T>
struct coordinate_compression {
    coordinate_compression() = default;
    coordinate_compression(const std::vector<T> &_data) : data(_data) { build(); }
    const T &operator[](int i) const { return data[i]; }
    T front() const { return data.front(); }
    T back() const { return data.back(); }
    void add(T x) { data.emplace_back(x); }
    void build() {
        std::sort(data.begin(), data.end());
        data.erase(std::unique(data.begin(), data.end()), data.end());
    }
    bool exists(T x) const {
        auto it = std::lower_bound(data.begin(), data.end(), x);
        return it != data.end() && *it == x;
    }
    int get(T x) const {
        return std::distance(data.begin(), std::lower_bound(data.begin(), data.end(), x));
    }
    int lower_bound(T x) const {
        return std::distance(data.begin(), std::lower_bound(data.begin(), data.end(), x));
    }
    int upper_bound(T x) const {
        return std::distance(data.begin(), std::upper_bound(data.begin(), data.end(), x));
    }
    std::vector<int> compress(const std::vector<T> &v) const {
        int n = v.size();
        std::vector<int> res(n);
        for (int i = 0; i < n; ++i) res[i] = get(v[i]);
        return res;
    }
    int size() const { return data.size(); }
  private:
    std::vector<T> data;
};
/// @brief 座標圧縮
template <class T>
std::vector<int> compress(const std::vector<T> &v) {
    coordinate_compression cps(v);
    std::vector<int> res;
    res.reserve(std::size(v));
    for (auto &&x : v) res.emplace_back(cps.get(x));
    return res;
}
#include <cassert>
#include <limits>
#include <queue>
/**
 * @brief 最大流
 *
 * @tparam Cap
 */
template <class Cap>
struct mf_graph {
    mf_graph() : _n(0) {}
    explicit mf_graph(int n) : _n(n), g(n) {}
    int size() const { return _n; }
    int add_edge(int from, int to, Cap cap) {
        assert(0 <= from && from < _n);
        assert(0 <= to && to < _n);
        assert(0 <= cap);
        int m = int(pos.size());
        pos.emplace_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].emplace_back(to, to_id, cap);
        g[to].emplace_back(from, from_id, 0);
        return m;
    }
    struct edge {
        int from, to;
        Cap cap, flow;
    };
    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};
    }
    std::vector<edge> edges() {
        int m = int(pos.size());
        std::vector<edge> result;
        for (int i = 0; i < m; ++i) result.emplace_back(get_edge(i));
        return result;
    }
    void change_edge(int i, Cap new_cap, Cap new_flow) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        assert(0 <= new_flow && new_flow <= new_cap);
        auto &_e = g[pos[i].first][pos[i].second];
        auto &_re = g[_e.to][_e.rev];
        _e.cap = new_cap - new_flow;
        _re.cap = new_flow;
    }
    Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
    Cap flow(int s, int t, Cap flow_limit) {
        assert(0 <= s && s < _n);
        assert(0 <= t && t < _n);
        assert(s != t);
        std::vector<int> level(_n), iter(_n);
        auto bfs = [&]() {
            std::fill(level.begin(), level.end(), -1);
            level[s] = 0;
            std::queue<int> que;
            que.emplace(s);
            while (!que.empty()) {
                int v = que.front();
                que.pop();
                for (auto e : g[v]) {
                    if (e.cap == 0 || level[e.to] >= 0) continue;
                    level[e.to] = level[v] + 1;
                    if (e.to == t) return;
                    que.emplace(e.to);
                }
            }
        };
        auto dfs = [&](auto self, int v, Cap up) {
            if (v == s) return up;
            Cap res = 0;
            int level_v = level[v];
            for (int &i = iter[v]; i < int(g[v].size()); ++i) {
                _edge &e = g[v][i];
                if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
                Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
                if (d <= 0) continue;
                g[v][i].cap += d;
                g[e.to][e.rev].cap -= d;
                res += d;
                if (res == up) return res;
            }
            level[v] = _n;
            return res;
        };
        Cap flow = 0;
        while (flow < flow_limit) {
            bfs();
            if (level[t] == -1) break;
            std::fill(iter.begin(), iter.end(), 0);
            Cap f = dfs(dfs, t, flow_limit - flow);
            if (!f) break;
            flow += f;
        }
        return flow;
    }
    std::vector<bool> min_cut(int s) {
        std::vector<bool> visited(_n);
        std::queue<int> que;
        que.emplace(s);
        while (!que.empty()) {
            int p = que.front();
            que.pop();
            visited[p] = true;
            for (auto e : g[p]) {
                if (e.cap && !visited[e.to]) {
                    visited[e.to] = true;
                    que.emplace(e.to);
                }
            }
        }
        return visited;
    }
  private:
    int _n;
    struct _edge {
        int to, rev;
        Cap cap;
        constexpr _edge(int _to, int _rev, Cap _cap) : to(_to), rev(_rev), cap(_cap) {}
    };
    std::vector<std::pair<int, int>> pos;
    std::vector<std::vector<_edge>> g;
};
#ifdef ATCODER
#pragma GCC target("sse4.2,avx512f,avx512dq,avx512ifma,avx512cd,avx512bw,avx512vl,bmi2")
#endif
#pragma GCC optimize("Ofast,fast-math,unroll-all-loops")
#include <bits/stdc++.h>
#ifndef ATCODER
#pragma GCC target("sse4.2,avx2,bmi2")
#endif
template <class T, class U>
constexpr bool chmax(T &a, const U &b) {
    return a < (T)b ? a = (T)b, true : false;
}
template <class T, class U>
constexpr bool chmin(T &a, const U &b) {
    return (T)b < a ? a = (T)b, true : false;
}
constexpr std::int64_t INF = 1000000000000000003;
constexpr int Inf = 1000000003;
constexpr double EPS = 1e-7;
constexpr double PI = 3.14159265358979323846;
#define FOR(i, m, n) for (int i = (m); i < int(n); ++i)
#define FORR(i, m, n) for (int i = (m)-1; i >= int(n); --i)
#define FORL(i, m, n) for (int64_t i = (m); i < int64_t(n); ++i)
#define rep(i, n) FOR (i, 0, n)
#define repn(i, n) FOR (i, 1, n + 1)
#define repr(i, n) FORR (i, n, 0)
#define repnr(i, n) FORR (i, n + 1, 1)
#define all(s) (s).begin(), (s).end()
struct Sonic {
    Sonic() {
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
        std::cout << std::fixed << std::setprecision(20);
    }
    constexpr void operator()() const {}
} sonic;
using namespace std;
using ll = std::int64_t;
using ld = long double;
template <class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
    return is >> p.first >> p.second;
}
template <class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
    for (T &i : v) is >> i;
    return is;
}
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
    return os << '(' << p.first << ',' << p.second << ')';
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &v) {
    for (auto it = v.begin(); it != v.end(); ++it) os << (it == v.begin() ? "" : " ") << *it;
    return os;
}
template <class Head, class... Tail>
void co(Head &&head, Tail &&...tail) {
    if constexpr (sizeof...(tail) == 0) std::cout << head << '\n';
    else std::cout << head << ' ', co(std::forward<Tail>(tail)...);
}
template <class Head, class... Tail>
void ce(Head &&head, Tail &&...tail) {
    if constexpr (sizeof...(tail) == 0) std::cerr << head << '\n';
    else std::cerr << head << ' ', ce(std::forward<Tail>(tail)...);
}
void Yes(bool is_correct = true) { std::cout << (is_correct ? "Yes\n" : "No\n"); }
void No(bool is_not_correct = true) { Yes(!is_not_correct); }
void YES(bool is_correct = true) { std::cout << (is_correct ? "YES\n" : "NO\n"); }
void NO(bool is_not_correct = true) { YES(!is_not_correct); }
void Takahashi(bool is_correct = true) { std::cout << (is_correct ? "Takahashi" : "Aoki") << '\n'; }
void Aoki(bool is_not_correct = true) { Takahashi(!is_not_correct); }
int main(void) {
    int n, m;
    cin >> n >> m;
    vector a(n, vector(m, 0));
    cin >> a;
    mf_graph<int> mf(n * m * 3 + n + m + 2);
    int st = mf.size() - 2, gl = st + 1;
    rep (i, n) {
        rep (j, m) {
            mf.add_edge(st, n * m * 3 + i, 1);
            mf.add_edge(n * m * 3 + i, n * m + i * m + j, 1);
            mf.add_edge(n * m * 2 + i * m + j, n * m * 3 + n + j, 1);
            mf.add_edge(n * m * 3 + n + j, gl, 1);
        }
    }
    rep (i, n) {
        auto v = compress(a[i]);
        rep (j, m) {
            if (a[i][j])
                mf.add_edge(n * m + i * m + v[j], i * m + j, 1);
        }
    }
    rep (j, m) {
        vector<int> u;
        rep (i, n) u.emplace_back(a[i][j]);
        auto v = compress(u);
        rep (i, n) {
            if (a[i][j])
                mf.add_edge(i * m + j, n * m * 2 + v[i] * m + j, 1);
        }
    }
    co(mf.flow(st, gl));
    return 0;
}
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