結果

問題 No.957 植林
ユーザー ei1333333ei1333333
提出日時 2019-12-18 01:03:37
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 937 ms / 2,000 ms
コード長 8,224 bytes
コンパイル時間 2,570 ms
コンパイル使用メモリ 224,024 KB
実行使用メモリ 32,856 KB
最終ジャッジ日時 2024-07-07 01:44:55
合計ジャッジ時間 22,121 ms
ジャッジサーバーID
(参考情報)
judge4 / judge3
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 1 ms
6,812 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 115 ms
27,924 KB
testcase_04 AC 96 ms
26,128 KB
testcase_05 AC 98 ms
28,412 KB
testcase_06 AC 112 ms
29,360 KB
testcase_07 AC 111 ms
26,112 KB
testcase_08 AC 74 ms
27,612 KB
testcase_09 AC 73 ms
28,388 KB
testcase_10 AC 76 ms
28,788 KB
testcase_11 AC 72 ms
28,016 KB
testcase_12 AC 77 ms
27,720 KB
testcase_13 AC 59 ms
23,644 KB
testcase_14 AC 75 ms
30,028 KB
testcase_15 AC 65 ms
26,844 KB
testcase_16 AC 60 ms
24,660 KB
testcase_17 AC 63 ms
26,068 KB
testcase_18 AC 592 ms
27,496 KB
testcase_19 AC 618 ms
28,048 KB
testcase_20 AC 638 ms
28,356 KB
testcase_21 AC 656 ms
29,596 KB
testcase_22 AC 714 ms
29,804 KB
testcase_23 AC 729 ms
30,544 KB
testcase_24 AC 760 ms
31,880 KB
testcase_25 AC 814 ms
32,244 KB
testcase_26 AC 793 ms
32,180 KB
testcase_27 AC 781 ms
32,856 KB
testcase_28 AC 792 ms
32,124 KB
testcase_29 AC 801 ms
32,156 KB
testcase_30 AC 791 ms
32,180 KB
testcase_31 AC 580 ms
28,252 KB
testcase_32 AC 602 ms
27,708 KB
testcase_33 AC 640 ms
28,540 KB
testcase_34 AC 658 ms
29,484 KB
testcase_35 AC 714 ms
29,764 KB
testcase_36 AC 715 ms
30,940 KB
testcase_37 AC 937 ms
31,296 KB
testcase_38 AC 823 ms
32,112 KB
testcase_39 AC 812 ms
32,072 KB
testcase_40 AC 801 ms
32,180 KB
testcase_41 AC 38 ms
31,804 KB
testcase_42 AC 38 ms
32,152 KB
testcase_43 AC 44 ms
31,844 KB
testcase_44 AC 47 ms
32,276 KB
testcase_45 AC 2 ms
6,940 KB
testcase_46 AC 2 ms
6,944 KB
testcase_47 AC 2 ms
6,944 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 #

#include <bits/stdc++.h>

using namespace std;

using int64 = long long;
const int mod = 1e9 + 7;
// const int mod = 998244353;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(15);
  }
} iosetup;


template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
  os << p.first << " " << p.second;
  return os;
}

template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
  is >> p.first >> p.second;
  return is;
}

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
  for(int i = 0; i < (int) v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
  for(T &in : v) is >> in;
  return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = int64 >
vector< T > make_v(size_t a) {
  return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
  return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
  t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
  for(auto &e : t) fill_v(e, v);
}

template< typename F >
struct FixPoint : F {
  FixPoint(F &&f) : F(forward< F >(f)) {}

  template< typename... Args >
  decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, forward< Args >(args)...);
  }
};

template< typename F >
inline decltype(auto) MFP(F &&f) {
  return FixPoint< F >{forward< F >(f)};
}


#define rep(i, n) for(int i = 0; i < (n); ++i)
#define REP(i, b, n) for(int i = (b); i < (n); ++i)
#define let(v, x) __typeof(x) v = (x)
#define foreach(i, v) for(let(i, (v).begin());i!=(v).end();i++)


struct DinicLC {//{{{
  typedef int64 Cap;
  static const Cap INF = 1LL << 60;

  struct LCNode {//{{{
    typedef LCNode *Ptr;
    Ptr ch[2], par, min_node;
    Cap val, min_val, lazy;
    int name;

    LCNode() : par(0), min_node(this), val(INF), min_val(INF), lazy(0) {
      ch[0] = ch[1] = 0;
    }

    inline void push() {//{{{
      if(lazy == 0) return;
      val += lazy;
      min_val += lazy;
      rep(i, 2) if(ch[i]) ch[i]->lazy += lazy;
      lazy = 0;
    }//}}}
    inline void update() {//{{{
      push();
      if(ch[0]) {
        min_val = ch[0]->min_val + ch[0]->lazy;
        min_node = ch[0]->min_node;
      }
      if(!ch[0] || min_val > val) {
        min_val = val;
        min_node = this;
      }
      if(ch[1] && min_val > ch[1]->min_val + ch[1]->lazy) {
        min_val = ch[1]->min_val + ch[1]->lazy;
        min_node = ch[1]->min_node;
      }
    }//}}}
    inline void set_value(Cap v) {
      expose();
      val = v;
      update();
    }

    inline Cap get_value() {
      expose();
      return val;
    }

    inline Ptr get_min_node_on_path() {
      expose();
      return min_node;
    }

    inline void add_to_path(Cap c) {
      expose();
      lazy += c;
      push();
    }

    inline int state() {//{{{
      if(par && par->ch[0] == this) return -1;
      if(par && par->ch[1] == this) return +1;
      return 0;
    }//}}}
    inline void rotate() {//{{{
      Ptr p = par;
      p->push();
      push();
      bool lr = state() + 1;
      if(p->state()) p->par->ch[p->state() > 0] = this;
      par = p->par;
      p->ch[lr] = ch[!lr];
      if(ch[!lr]) ch[!lr]->par = p;
      (p->par = this)->ch[!lr] = p;
      p->update();
      update();
    }//}}}
    inline void splay() {//{{{
      while(state()) {
        int s = state() * par->state();
        if(s) (s == 1 ? par : this)->rotate();
        rotate();
      }
      push();
    }//}}}
    inline void expose() {//{{{
      if(!par) return;
      for(Ptr p = this; p; p = p->par) p->splay();
      for(Ptr p = this; p->par; p = p->par) p->par->ch[1] = p;
      splay();
    }//}}}
    inline void cut() {//{{{
      expose();
      if(!ch[0]) return;
      ch[0]->par = 0;
      ch[0]->push();
      ch[0] = 0;
      update();
    }//}}}
    inline void link_to(Ptr p) {//{{{
      expose();
      par = p;
    }//}}}
    inline Ptr find_root() {//{{{
      expose();
      Ptr p = this;
      while(p->ch[0]) p = p->ch[0];
      p->expose();
      return p;
    }//}}}
  };//}}}

  struct E {//{{{
    int dst;
    Cap cap;
    int rev;

    E(int dst, Cap cap, int rev) : dst(dst), cap(cap), rev(rev) {}
  };//}}}
  int n;
  vector< vector< E > > g;

  DinicLC(int n) : n(n), g(n) {}

  inline void add_edge(int src, int dst, Cap cap) {//{{{
    if(src == dst) return;
    g[src].push_back(E(dst, cap, g[dst].size()));
    g[dst].push_back(E(src, 0, g[src].size() - 1));
  }//}}}
  inline void add_undirected_edge(int src, int dst, Cap cap) {//{{{
    if(src == dst) return;
    g[src].push_back(E(dst, cap, g[dst].size()));
    g[dst].push_back(E(src, cap, g[src].size() - 1));
  }//}}}

  vector< int > level, active;

  vector< LCNode > lc;

  inline void unuse_edge(E &e) {//{{{
    E &ee = g[e.dst][e.rev];
    int u = ee.dst;
    Cap use = ee.cap - lc[u].get_value();
    e.cap += use;
    ee.cap -= use;
    active[u] = false;
    lc[u].cut();
    lc[u].set_value(INF);
  }//}}}
  inline void init() {//{{{
    lc.resize(n);
    active.assign(n, false);
    rep(u, n) lc[u].name = u;
  }//}}}
  Cap dfs(const int &s, const int &t) {//{{{
    vector< int > iter(n);
    rep(u, n) iter[u] = (int) (g[u].size()) - 1;
    Cap res = 0;

    while(true) {
      const int &u = lc[t].find_root()->name;
      if(u == s) {
        Cap f = lc[t].get_min_node_on_path()->get_value();
        res += f;
        lc[t].add_to_path(-f);
        while(true) {
          int v = lc[t].get_min_node_on_path()->name;
          Cap f = lc[v].get_value();
          if(f > 0) break;
          unuse_edge(g[v][iter[v]]);
        }
      } else {
        for(int &i = iter[u]; i >= 0; --i) {
          E &e = g[u][i], &ee = g[e.dst][e.rev];
          int v = e.dst;
          if(level[u] - 1 != level[v] || ee.cap <= 0) continue;
          active[u] = true;
          lc[u].set_value(ee.cap);
          lc[u].link_to(&lc[v]);
          break;
        }
        if(active[u]) continue;
        if(u == t) break;
        level[u] = -1;
        foreach(e, g[u]) if(active[e->dst] && iter[e->dst] == e->rev)
            unuse_edge(g[e->dst][e->rev]);
      }
    }
    rep(u, n) if(active[u]) unuse_edge(g[u][iter[u]]);
    return res;
  }//}}}

  Cap run(int s, int t) {//{{{
    init();
    vector< int > q(n);
    for(Cap flow = 0;;) {
      level.assign(n, -1);
      int ql = 0, qr = 0;
      level[q[qr++] = s] = 0;
      while(ql != qr && level[t] == -1) {
        int u = q[ql++];
        foreach(e, g[u]) if(e->cap > 0 && level[e->dst] == -1)
            level[q[qr++] = e->dst] = level[u] + 1;
      }
      if(level[t] == -1) return flow;
      flow += dfs(s, t);
    }
  }//}}}
};//}}}

int main() {
  int H, W;
  cin >> H >> W;
  vector< vector< int64 > > G(H, vector< int64 >(W));
  for(int i = 0; i < H; i++) {
    for(int j = 0; j < W; j++) cin >> G[i][j];
  }
  vector< int64 > R(H), C(W);
  for(int i = 0; i < H; i++) cin >> R[i];
  for(int i = 0; i < W; i++) cin >> C[i];

  int64 sum = accumulate(begin(R), end(R), 0LL) + accumulate(begin(C), end(C), 0LL);

  DinicLC flow(H * W + H + W + 2);
  int S = H * W + H + W;
  int T = S + 1;
  for(int i = 0; i < H; i++) {
    for(int j = 0; j < W; j++) {
      flow.add_edge(S, i * W + j, G[i][j]);
      flow.add_edge(i * W + j, H * W + i, flow.INF);
      flow.add_edge(i * W + j, H * W + H + j, flow.INF);
    }
  }
  for(int i = 0; i < H; i++) {
    flow.add_edge(H * W + i, T, R[i]);
  }
  for(int i = 0; i < W; i++) {
    flow.add_edge(H * W + H + i, T, C[i]);
  }

  cout << sum - flow.run(S, T) << endl;
}

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