結果

問題 No.421 しろくろチョコレート
ユーザー iiljjiiljj
提出日時 2020-05-13 23:38:50
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 81 ms / 2,000 ms
コード長 10,386 bytes
コンパイル時間 2,772 ms
コンパイル使用メモリ 225,128 KB
実行使用メモリ 102,016 KB
最終ジャッジ日時 2024-09-23 07:26:12
合計ジャッジ時間 6,448 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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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
6,816 KB
testcase_01 AC 49 ms
67,072 KB
testcase_02 AC 48 ms
64,896 KB
testcase_03 AC 3 ms
6,940 KB
testcase_04 AC 24 ms
32,640 KB
testcase_05 AC 6 ms
8,704 KB
testcase_06 AC 3 ms
6,944 KB
testcase_07 AC 15 ms
20,352 KB
testcase_08 AC 53 ms
73,600 KB
testcase_09 AC 3 ms
6,944 KB
testcase_10 AC 5 ms
7,424 KB
testcase_11 AC 19 ms
25,216 KB
testcase_12 AC 2 ms
6,944 KB
testcase_13 AC 2 ms
6,944 KB
testcase_14 AC 2 ms
6,940 KB
testcase_15 AC 2 ms
6,944 KB
testcase_16 AC 70 ms
94,080 KB
testcase_17 AC 76 ms
101,760 KB
testcase_18 AC 77 ms
101,888 KB
testcase_19 AC 2 ms
6,940 KB
testcase_20 AC 41 ms
54,528 KB
testcase_21 AC 52 ms
69,632 KB
testcase_22 AC 18 ms
24,448 KB
testcase_23 AC 2 ms
6,940 KB
testcase_24 AC 2 ms
6,944 KB
testcase_25 AC 2 ms
6,940 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 2 ms
6,940 KB
testcase_28 AC 74 ms
101,632 KB
testcase_29 AC 74 ms
101,760 KB
testcase_30 AC 74 ms
101,632 KB
testcase_31 AC 75 ms
102,016 KB
testcase_32 AC 74 ms
101,760 KB
testcase_33 AC 74 ms
101,888 KB
testcase_34 AC 74 ms
101,376 KB
testcase_35 AC 74 ms
101,376 KB
testcase_36 AC 28 ms
38,144 KB
testcase_37 AC 61 ms
79,872 KB
testcase_38 AC 78 ms
101,888 KB
testcase_39 AC 40 ms
54,400 KB
testcase_40 AC 18 ms
24,448 KB
testcase_41 AC 4 ms
6,940 KB
testcase_42 AC 4 ms
6,940 KB
testcase_43 AC 35 ms
47,104 KB
testcase_44 AC 33 ms
42,112 KB
testcase_45 AC 18 ms
25,216 KB
testcase_46 AC 12 ms
16,256 KB
testcase_47 AC 42 ms
57,216 KB
testcase_48 AC 49 ms
64,640 KB
testcase_49 AC 49 ms
67,456 KB
testcase_50 AC 23 ms
30,848 KB
testcase_51 AC 32 ms
41,984 KB
testcase_52 AC 17 ms
23,552 KB
testcase_53 AC 16 ms
22,656 KB
testcase_54 AC 55 ms
76,416 KB
testcase_55 AC 5 ms
6,944 KB
testcase_56 AC 4 ms
6,940 KB
testcase_57 AC 10 ms
12,800 KB
testcase_58 AC 43 ms
56,832 KB
testcase_59 AC 9 ms
11,776 KB
testcase_60 AC 81 ms
101,888 KB
testcase_61 AC 78 ms
102,016 KB
testcase_62 AC 2 ms
6,940 KB
testcase_63 AC 2 ms
6,940 KB
testcase_64 AC 73 ms
101,248 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 # 

/* #region Head */

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());

#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#define DEBUG_

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

string yes = "Yes", no = "No";
// string yes = "YES", no = "NO";
void yn(bool p) { cout << (p ? yes : no) << endl; }

/* #endregion */

/* #region Graph */

// グラフ用テンプレ
using Weight = ll;
using Flow = ll;

// エッジ（本来エッジは双方向だが，ここでは単方向で管理）
struct Edge {
    ll src;        // エッジ始点となる頂点
    ll dst;        // エッジ終点となる頂点
    Weight weight; // 重み
    Flow cap;
    Edge() : src(0), dst(0), weight(0) {}
    Edge(ll src, ll dst, Weight weight) : src(src), dst(dst), weight(weight) {}
    Edge(ll src, ll dst, Weight weight, Flow cap) : src(src), dst(dst), weight(weight), cap(cap) {}
};
using Node = vc<Edge>;  // 同じ頂点を始点とするエッジ集合
using Graph = vc<Node>; // graph[i] := 頂点 i を始点とするエッジ集合
using Array = vc<Weight>;
using Matrix = vc<Array>;

// デフォルト引数を使うと Language Server が壊れる，たぶん　Weight=pll にしたことがあるせい
// 双方向のエッジを追加する
void add_edge(Graph &g, ll a, ll b, Weight w) {
    g[a].emplace_back(a, b, w);
    g[b].emplace_back(b, a, w);
}
// 双方向のエッジを追加する
void add_edge(Graph &g, ll a, ll b) { add_edge(g, a, b, 1LL); }
// 単方向のアークを追加する
void add_arc(Graph &g, ll a, ll b, Weight w) { g[a].emplace_back(a, b, w); }
// 単方向のアークを追加する
void add_arc(Graph &g, ll a, ll b, Weight w, Flow cap) { g[a].emplace_back(a, b, w, cap); }
// 単方向のアークを追加する
void add_arc(Graph &g, ll a, ll b) { g[a].emplace_back(a, b, 1LL); }

// Edge 標準出力
ostream &operator<<(ostream &os, Edge &edge) {
    os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")";
    return os;
}

struct dinic {
    int n, s, t;
    vc<int> level, prog, que;
    vc<vc<Flow>> cap, flow;
    vc<vc<int>> g;
    Flow inf;
    dinic(const Graph &graph)
        : n(graph.size()), cap(n, vc<Flow>(n)), flow(n, vc<Flow>(n)), g(n, vc<int>()),
          inf(std::numeric_limits<Flow>::max() / 8) {
        for (int i = 0; i < n; i++) {
            for (auto &e : graph[i]) {
                int u = e.src, v = e.dst;
                Flow c = e.cap;
                cap[u][v] += c;
                cap[v][u] += c;
                flow[v][u] += c;
                g[u].push_back(v);
                g[v].push_back(u);
            }
        }
    }
    inline Flow residue(int u, int v) { return cap[u][v] - flow[u][v]; }
    Flow solve(int s_, int t_) {
        this->t = t_, this->s = s_;
        que.resize(n + 1);
        Flow res = 0;
        while (levelize()) {
            prog.assign(n, 0);
            res += augment(s, inf);
        }
        return res;
    }
    bool levelize() {
        int l = 0, r = 0;
        level.assign(n, -1);
        level[s] = 0;
        que[r++] = s;
        while (l != r) {
            int v = que[l++];
            if (v == t) break;
            for (const int &d : g[v])
                if (level[d] == -1 && residue(v, d) != 0) {
                    level[d] = level[v] + 1;
                    que[r++] = d;
                }
        }
        return level[t] != -1;
    }
    Flow augment(int v, Flow lim) {
        Flow res = 0;
        if (v == t) return lim;
        for (int &i = prog[v]; i < (int)g[v].size(); i++) {
            const int &d = g[v][i];
            if (residue(v, d) == 0 || level[v] >= level[d]) continue;
            const Flow aug = augment(d, std::min(lim, residue(v, d)));
            flow[v][d] += aug;
            flow[d][v] -= aug;
            res += aug;
            lim -= aug;
            if (lim == 0) break;
        }
        return res;
    }
};
/* #endregion */

// Problem
void solve() {
    ll n, m;
    cin >> n >> m;
    vc<string> s(n);
    cin >> s;

    // w -> b で辺を張る
    ll cnt_w = 0, cnt_b = 0;
    char w = 'w', b = 'b';
    auto idx = [&](ll y, ll x) { return m * y + x; };
    ll source = idx(n, 0), sink = idx(n, 1);
    Graph g(n * m + 2);
    REP(i, 0, n) REP(j, 0, m) {
        if (s[i][j] == w) {
            cnt_w++;
            add_arc(g, source, idx(i, j), 0, 1);
            if (i > 0 && s[i - 1][j] == b) add_arc(g, idx(i, j), idx(i - 1, j), 0, 1);
            if (i < n - 1 && s[i + 1][j] == b) add_arc(g, idx(i, j), idx(i + 1, j), 0, 1);
            if (j > 0 && s[i][j - 1] == b) add_arc(g, idx(i, j), idx(i, j - 1), 0, 1);
            if (j < m - 1 && s[i][j + 1] == b) add_arc(g, idx(i, j), idx(i, j + 1), 0, 1);
        } else if (s[i][j] == b) {
            cnt_b++;
            add_arc(g, idx(i, j), sink, 0, 1);
        }
    }

    dinic dn(g);
    dn.solve(source, sink);
    ll acc = accumulate(ALL(dn.flow[source]), 0LL);

    ll ret = acc * 100;
    cnt_w -= acc, cnt_b -= acc;
    ll rem2 = min(cnt_w, cnt_b);
    ret += rem2 * 10;
    cnt_w -= rem2, cnt_b -= rem2;
    ret += max(cnt_w, cnt_b);
    cout << ret << endl;
}

// entry point
int main() {
    solve();
    return 0;
}
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