#517469 (C++17) No.1123 Afforestation

提出ソース

結果

問題	No.1123 Afforestation
ユーザー	KoD
提出日時	2020-07-23 23:48:40
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,199 ms / 2,500 ms
コード長	16,420 bytes
コンパイル時間	1,476 ms
コンパイル使用メモリ	111,088 KB
実行使用メモリ	392,540 KB
最終ジャッジ日時	2023-09-06 04:12:26
合計ジャッジ時間	22,428 ms
ジャッジサーバーID （参考情報）	judge13 / judge14

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 4,380 KB
testcase_01	AC	1 ms 4,376 KB
testcase_02	AC	2 ms 4,380 KB
testcase_03	AC	3 ms 4,376 KB
testcase_04	AC	22 ms 16,216 KB
testcase_05	AC	269 ms 101,192 KB
testcase_06	AC	1,199 ms 392,436 KB
testcase_07	AC	2 ms 4,376 KB
testcase_08	AC	2 ms 4,376 KB
testcase_09	AC	2 ms 4,376 KB
testcase_10	AC	3 ms 4,376 KB
testcase_11	AC	10 ms 7,960 KB
testcase_12	AC	126 ms 51,648 KB
testcase_13	AC	1,149 ms 392,472 KB
testcase_14	AC	1 ms 4,380 KB
testcase_15	AC	1 ms 4,376 KB
testcase_16	AC	1 ms 4,380 KB
testcase_17	AC	2 ms 4,380 KB
testcase_18	AC	3 ms 4,380 KB
testcase_19	AC	23 ms 16,832 KB
testcase_20	AC	317 ms 100,668 KB
testcase_21	AC	1,158 ms 391,940 KB
testcase_22	AC	1,134 ms 391,352 KB
testcase_23	AC	1,150 ms 392,524 KB
testcase_24	AC	1,150 ms 392,264 KB
testcase_25	AC	1,133 ms 392,420 KB
testcase_26	AC	2 ms 4,376 KB
testcase_27	AC	1 ms 4,380 KB
testcase_28	AC	2 ms 4,376 KB
testcase_29	AC	1 ms 4,380 KB
testcase_30	AC	2 ms 4,376 KB
testcase_31	AC	2 ms 4,380 KB
testcase_32	AC	1 ms 4,384 KB
testcase_33	AC	1 ms 4,376 KB
testcase_34	AC	3 ms 4,460 KB
testcase_35	AC	3 ms 4,396 KB
testcase_36	AC	2 ms 4,376 KB
testcase_37	AC	1 ms 4,380 KB
testcase_38	AC	2 ms 4,380 KB
testcase_39	AC	4 ms 4,504 KB
testcase_40	AC	4 ms 4,380 KB
testcase_41	AC	3 ms 4,432 KB
testcase_42	AC	10 ms 8,068 KB
testcase_43	AC	21 ms 16,864 KB
testcase_44	AC	40 ms 25,320 KB
testcase_45	AC	41 ms 25,276 KB
testcase_46	AC	50 ms 27,500 KB
testcase_47	AC	50 ms 27,500 KB
testcase_48	AC	2 ms 4,376 KB
testcase_49	AC	2 ms 4,376 KB
testcase_50	AC	3 ms 4,380 KB
testcase_51	AC	4 ms 4,668 KB
testcase_52	AC	2 ms 4,376 KB
testcase_53	AC	2 ms 4,376 KB
testcase_54	AC	1 ms 4,380 KB
testcase_55	AC	4 ms 4,460 KB
testcase_56	AC	3 ms 4,380 KB
testcase_57	AC	4 ms 4,648 KB
testcase_58	AC	10 ms 8,156 KB
testcase_59	AC	22 ms 16,836 KB
testcase_60	AC	42 ms 25,180 KB
testcase_61	AC	41 ms 25,316 KB
testcase_62	AC	50 ms 27,820 KB
testcase_63	AC	50 ms 27,552 KB
testcase_64	AC	2 ms 4,376 KB
testcase_65	AC	1 ms 4,380 KB
testcase_66	AC	2 ms 4,376 KB
testcase_67	AC	2 ms 4,376 KB
testcase_68	AC	3 ms 4,672 KB
testcase_69	AC	6 ms 6,836 KB
testcase_70	AC	10 ms 8,028 KB
testcase_71	AC	22 ms 17,000 KB
testcase_72	AC	1 ms 4,380 KB
testcase_73	AC	1 ms 4,376 KB
testcase_74	AC	1 ms 4,380 KB
testcase_75	AC	1 ms 4,380 KB
testcase_76	AC	1 ms 4,376 KB
testcase_77	AC	2 ms 4,380 KB
testcase_78	AC	2 ms 4,376 KB
testcase_79	AC	2 ms 4,376 KB
testcase_80	AC	1 ms 4,376 KB
testcase_81	AC	2 ms 4,376 KB
testcase_82	AC	1 ms 4,376 KB
testcase_83	AC	1 ms 4,376 KB
testcase_84	AC	995 ms 392,496 KB
testcase_85	AC	1,000 ms 392,464 KB
testcase_86	AC	2 ms 4,376 KB
testcase_87	AC	1 ms 4,376 KB
testcase_88	AC	535 ms 392,540 KB
testcase_89	AC	540 ms 392,456 KB
testcase_90	AC	1 ms 4,380 KB
testcase_91	AC	1 ms 4,380 KB
testcase_92	AC	1 ms 4,376 KB

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ソースコード

raw source code

#line 1 "test/push_relabel.test.cpp"

#define PROBLEM "https://yukicoder.me/problems/no/1123"

#line 2 "graph/network.cpp"

#include <cstddef>
#include <cstdint>
#include <vector>
#include <numeric>
#include <utility>
#include <type_traits>

template <class Edge>
class network {
public:
  using vertex_type = typename Edge::vertex_type;
  using edge_type   = Edge;
  using size_type   = size_t;

  class index_helper {
  private:
    const size_type M_stuff, M_size;
  public:
    explicit index_helper(const size_type stuff, const size_type size): 
      M_stuff(stuff), M_size(size) 
    { }
    vertex_type operator [] (const size_type index) const {
      return to_vertex(index);
    }
    vertex_type to_vertex(const size_type index) const {
      return index + M_stuff;
    }
    size_type to_index(const vertex_type vert) const {
      return vert - M_stuff;
    }
    size_type size() const {
      return M_size;
    }
  };

protected:
  std::vector<std::vector<edge_type>> M_graph;

public:
  network() = default;

  template <bool ReturnsIndex = true>
  typename std::enable_if<ReturnsIndex, vertex_type>::type add_vertex() {
    vertex_type res = M_graph.size();
    M_graph.push_back({ });
    return res;
  }
  template <bool ReturnsIndex = true>
  typename std::enable_if<!ReturnsIndex, void>::type add_vertex() {
    M_graph.push_back({ });
  }

  template <bool ReturnsIndices = true>
  typename std::enable_if<ReturnsIndices, index_helper>::type 
  add_vertices(const size_type size) {
    size_type cur = M_graph.size();
    M_graph.resize(cur + size);
    return index_helper(cur, size);
  }
  template <bool ReturnsIndices = true>
  typename std::enable_if<!ReturnsIndices, void>::type 
  add_vertices(const size_type size) {
    size_type cur = M_graph.size();
    M_graph.resize(cur + size);
  }
  
  void add_edge(const edge_type &edge) {
    M_graph[edge.source].push_back(edge);
  }
  template <class... Args>
  void emplace_edge(const vertex_type src, Args&&... args) {
    M_graph[src].emplace_back(src, std::forward<Args>(args)...);
  }

  std::vector<edge_type> &operator [] (const vertex_type vert) {
    return M_graph[vert];
  }
  std::vector<edge_type> &at(const vertex_type vert) {
    return M_graph.at(vert);
  }
  const std::vector<edge_type> &operator [] (const vertex_type vert) const {
    return M_graph[vert];
  }
  const std::vector<edge_type> &at(const vertex_type vert) const {
    return M_graph.at(vert);
  }
  const std::vector<std::vector<edge_type>> &get() const {
    return M_graph;
  }

  size_type size() const {
    return M_graph.size();
  }
  bool empty() const {
    return M_graph.empty();
  }
  void clear() {
    M_graph.clear();
    M_graph.shrink_to_fit();
  }

};

class base_edge {
public:
  using vertex_type = uint32_t;
  const vertex_type source, dest;
  explicit base_edge(const vertex_type source, const vertex_type dest): 
    source(source), dest(dest) 
  { }
  base_edge reverse() {
    return base_edge(dest, source);
  }
};

template <class Flow>
class flow_edge: public base_edge {
public:
  using vertex_type = typename base_edge::vertex_type;
  using flow_type   = Flow;
  flow_type flow;
  const flow_type capacity;
  explicit flow_edge(const base_edge &edge, const flow_type capacity):
    base_edge(edge), flow(0), capacity(capacity)
  { }
  explicit flow_edge(const base_edge &edge, const flow_type flow, const flow_type capacity):
    base_edge(edge), flow(flow), capacity(capacity)
  { }
  explicit flow_edge(const vertex_type source, const vertex_type dest, const flow_type capacity):
    base_edge(source, dest), flow(0), capacity(capacity)
  { }
  explicit flow_edge(const vertex_type source, const vertex_type dest, const flow_type flow, const flow_type capacity):
    base_edge(source, dest), flow(flow), capacity(capacity)
  { }
  flow_edge reverse() const {
    return flow_edge(static_cast<base_edge>(*this).reverse(), capacity - flow, capacity);
  }
};

template <class Flow, class Cost>
class flow_cost_edge: public flow_edge<Flow> {
public:
  using vertex_type = typename flow_edge<Flow>::vertex_type;
  using flow_type   = typename flow_edge<Flow>::flow_type;
  using cost_type   = Cost;
  const cost_type cost;
  explicit flow_cost_edge(const flow_edge<Flow> &edge, const cost_type cost):
    flow_edge<Flow>(edge), cost(cost)
  { }
  explicit flow_cost_edge(const vertex_type source, const vertex_type dest, const flow_type capacity, const cost_type cost):
    flow_edge<Flow>(source, dest, capacity), cost(cost)
  { }
  explicit flow_cost_edge(const vertex_type source, const vertex_type dest, const flow_type flow, const flow_type capacity, const cost_type cost):
    flow_edge<Flow>(source, dest, flow, capacity), cost(cost)
  { }
  flow_cost_edge reverse() const {
    return flow_cost_edge(static_cast<flow_edge<Flow>>(*this).reverse(), -cost);
  }
};

/**
 * @title Network
 */
#line 2 "graph/push_relabel.cpp"

#include <queue>
#include <algorithm>

#line 7 "graph/push_relabel.cpp"

namespace push_relabel_detail {

  class stack_helper {
  private:
    const size_t M_size;
    std::vector<size_t> M_stack;
  public:
    explicit stack_helper(const size_t size):
      M_size(size), M_stack(size * 2)
    { clear(); }
    size_t top(const size_t height) const {
      return M_stack[M_size + height];
    }
    bool empty(const size_t height) const { 
      return M_stack[M_size + height] == M_size + height; 
    }
    void pop(const size_t height) {
      M_stack[M_size + height] = M_stack[M_stack[M_size + height]];
    }
    void push(const size_t height, const size_t node) {
      M_stack[node] = M_stack[M_size + height];
      M_stack[M_size + height] = node;
    }
    void clear() {
      std::iota(M_stack.begin() + M_size, M_stack.end(), M_size);
    }
  };

  class list_helper {
  private:
    const size_t M_size;
    std::vector<std::pair<size_t, size_t>> M_list;
  public:
    explicit list_helper(const size_t size):
      M_size(size), M_list(size * 2)
    { clear(); }
    bool empty(const size_t height) {
      return M_list[M_size + height].second == M_size + height;
    }
    bool more_than_one(const size_t height) {
      return M_list[M_size + height].first != M_list[M_size + height].second;
    }
    void insert(const size_t height, const size_t node) {
      M_list[node].first = M_list[M_size + height].first;
      M_list[node].second = M_size + height;
      M_list[M_list[M_size + height].first].second = node;
      M_list[M_size + height].first = node;
    }
    void erase(const size_t node) {
      M_list[M_list[node].first].second = M_list[node].second;
      M_list[M_list[node].second].first = M_list[node].first;
    }
    void clear() {
      for (size_t index = M_size; index < M_size * 2; ++index) {
        M_list[index].first = M_list[index].second = index;
      }
    }
    void clear(const size_t height) {
      const size_t index = M_size + height;
      M_list[index].first = M_list[index].second = index;
    }
    template <class Func>
    void apply_all(const size_t height, Func &&func) {
      size_t index = M_list[M_size + height].second;
      while (index < M_size) {
        func(index);
        index = M_list[index].second;
      }
    }
  };

};

template <class Network>
class push_relabel {
public:
  using network_type = Network;
  using vertex_type  = typename Network::vertex_type;
  using edge_type    = typename Network::edge_type;
  using size_type    = typename Network::size_type;
  using flow_type    = typename Network::edge_type::flow_type;
  using height_type  = uint32_t;

  static_assert(std::is_integral<flow_type>::value, "invalid flow type :: non-integral");

private:
  class residual_edge: public edge_type {
  public:
    const size_type rev;
    const bool is_rev;
    explicit residual_edge(const edge_type &edge, const size_type rev, const bool is_rev):
      edge_type(edge), rev(rev), is_rev(is_rev)
    { }
  };

  class node_type {
  public:
    std::vector<residual_edge> edges;
    flow_type excess;
    height_type height;
    size_type iter;
    node_type() = default;
  };

  flow_type M_remain(const residual_edge &edge) {
    return edge.capacity - edge.flow;
  }
  residual_edge &M_cur_edge(node_type &node) {
    return node.edges[node.iter];
  }
  residual_edge &M_rev_edge(const residual_edge &edge) {
    return M_graph[edge.dest].edges[edge.rev];
  }

  void M_push(node_type &node, residual_edge &edge) {
    const auto flow = std::min(node.excess, M_remain(edge));
    edge.flow += flow;
    node.excess -= flow;
    M_rev_edge(edge).flow -= flow;
    M_graph[edge.dest].excess += flow;
  }
  void M_relabel(node_type &node) {
    height_type min = M_graph.size() + 1;
    for (const auto &edge: node.edges) {
      if (M_remain(edge) > 0 && min > M_graph[edge.dest].height + 1) {
        min = M_graph[edge.dest].height + 1;
      }
    }
    node.height = min;
  }

  void M_reverse_bfs(const vertex_type source) {
    for (auto &node: M_graph) {
      node.height = M_graph.size() + 1;
    }
    M_graph[source].height = 0;
    std::queue<vertex_type> queue;
    queue.push(source);
    while (!queue.empty()) {
      const auto vert = queue.front();
      queue.pop();
      for (const auto &edge: M_graph[vert].edges) {
        if (M_remain(M_rev_edge(edge)) > 0) {
          if (M_graph[edge.dest].height == M_graph.size() + 1) {
            M_graph[edge.dest].height = M_graph[vert].height + 1;
            queue.push(edge.dest);
          }
        }
      }
    }
  }

  std::vector<node_type> M_graph;

public:
  push_relabel() = default;
  explicit push_relabel(const network_type &net) {
    const auto &graph = net.get();
    M_graph.resize(graph.size());
    for (size_type src = 0; src < graph.size(); ++src) {
      for (const auto &edge: graph[src]) {
        M_graph[src].edges.emplace_back(edge, M_graph[edge.dest].edges.size(), false);
        M_graph[edge.dest].edges.emplace_back(edge.reverse(), M_graph[src].edges.size() - 1, true);
      }
    }
  }

  template <bool ValueOnly = true>
  typename std::enable_if<ValueOnly, flow_type>::type
  max_flow(const vertex_type source, const vertex_type sink, const bool initialize_edges = false) {
    push_relabel_detail::stack_helper active(M_graph.size());
    push_relabel_detail::list_helper level(M_graph.size());
    height_type min_gap, max_active;
    for (auto &node: M_graph) {
      node.excess = 0;
      node.iter = 0;
      for (auto &edge: node.edges) {
        if (initialize_edges) {
          if (!edge.is_rev) edge.flow = 0;
          else edge.flow = edge.capacity;
        }
      }
    }
    M_reverse_bfs(sink);
    if (M_graph[source].height == M_graph.size() + 1) {
      return 0;
    }
    for (auto &edge: M_graph[source].edges) {
      M_graph[source].excess += M_remain(edge);
      M_push(M_graph[source], edge);
    }
    M_graph[source].height = M_graph.size();
    min_gap = M_graph.size();
    max_active = 0;
    for (size_type index = 0; index < M_graph.size(); ++index) {
      const auto &node = M_graph[index];
      if (node.height < M_graph.size()) {
        if (node.excess > 0 && index != sink) {
          active.push(node.height, index);
          max_active = std::max(max_active, node.height);
        }
        level.insert(node.height, index);
      }
    }
    for (size_type index = 0; index < M_graph.size(); ++index) {
      if (level.empty(index)) {
        min_gap = index;
        break;
      }
    }
    while (max_active > 0) {
      if (active.empty(max_active)) {
        --max_active;
        continue;
      }
      const auto vert = active.top(max_active);
      auto &node = M_graph[vert];
      active.pop(max_active);
      while (true) {
        auto &edge = M_cur_edge(node);
        const auto &dest = M_graph[edge.dest];
        if (M_remain(edge) > 0 && node.height == dest.height + 1) {
          if (dest.excess == 0 && edge.dest != sink) {
            active.push(dest.height, edge.dest);
            max_active = std::max(max_active, dest.height);
          }
          M_push(node, edge);
          if (node.excess == 0) {
            break;
          }
        }
        node.iter++;
        if (node.iter == node.edges.size()) {
          node.iter = 0;
          if (level.more_than_one(node.height)) {
            level.erase(vert);
            M_relabel(node);
            if (node.height > min_gap) {
              node.height = M_graph.size() + 1;
              break;
            }
            if (node.height == min_gap) {
              min_gap++;
            }
            level.insert(node.height, vert);
          }
          else {
            const height_type old_gap = min_gap;
            min_gap = node.height;
            for (height_type index = node.height; index < old_gap; ++index) {
              level.apply_all(index, [&](const vertex_type vert) {
                M_graph[vert].height = M_graph.size() + 1;
              });
              level.clear(index);
            }
            break;
          }
        }
      }
      max_active = std::min(max_active, min_gap - 1);
    }
    return M_graph[sink].excess;
  }

  template <bool ValueOnly = true>
  typename std::enable_if<!ValueOnly, std::pair<flow_type, network_type>>::type
  max_flow(const vertex_type source, const vertex_type sink, const bool initialize_edges = false) {
    const auto flow = max_flow<true>(source, sink, initialize_edges);
    std::queue<vertex_type> active;
    M_reverse_bfs(source);
    for (vertex_type index = 0; index < M_graph.size(); ++index) {
      const auto &node = M_graph[index];
      if (node.excess > 0 && node.height < M_graph.size() && index != sink) {
        active.push(index);
      }
    }
    while (!active.empty()) {
      auto &node = M_graph[active.front()];
      active.pop();
      while (node.excess > 0) {
        auto &edge = M_cur_edge(node);
        const auto &dest = M_graph[edge.dest];
        if (M_remain(edge) > 0 && node.height == dest.height + 1) {
          if (dest.excess == 0 && edge.dest != source) {
            active.push(edge.dest);
          }
          M_push(node, edge);
          if (node.excess == 0) {
            break;
          }
        }
        node.iter++;
        if (node.iter == node.edges.size()) {
          node.iter = 0;
          M_relabel(node);
        }
      }
    }
    network_type graph;
    graph.template add_vertices <false>(M_graph.size());
    for (size_type index = 0; index < M_graph.size(); ++index) {
      for (const auto &edge: M_graph[index].edges) {
        if (!edge.is_rev) {
          graph.add_edge(static_cast<edge_type>(edge));
        }
      }
    }
    return std::make_pair(flow, std::move(graph));
  } 

};

/**
 * @title Push Relabel
 */
#line 6 "test/push_relabel.test.cpp"

#line 9 "test/push_relabel.test.cpp"
#include <iostream>
#line 11 "test/push_relabel.test.cpp"

int main() {
  size_t H, W;
  std::cin >> H >> W;
  std::vector<uint32_t> A(H), B(W);
  for (auto &x: A) {
    std::cin >> x;
  }
  for (auto &x: B) {
    std::cin >> x;
  }
  const auto sumA = std::accumulate(A.cbegin(), A.cend(), uint32_t(0));
  const auto sumB = std::accumulate(B.cbegin(), B.cend(), uint32_t(0));
  if (sumA != sumB) {
    std::cout << ":(\n";
    return 0;
  }
  size_t K;
  std::cin >> K;
  std::vector<std::vector<char>> ans(H, std::vector<char>(W, '.'));
  while (K--) {
    size_t x, y;
    std::cin >> x >> y;
    --x; --y;
    ans[x][y] = 'x';
  }
  network<flow_edge<uint32_t>> graph;
  const auto S = graph.add_vertex();
  const auto T = graph.add_vertex();
  const auto left = graph.add_vertices(H);
  const auto right = graph.add_vertices(W);
  for (size_t i = 0; i < H; ++i) {
    graph.emplace_edge(S, left[i], A[i]);
  }
  for (size_t j = 0; j < W; ++j) {
    graph.emplace_edge(right[j], T, B[j]);
  }
  for (size_t i = 0; i < H; ++i) {
    for (size_t j = 0; j < W; ++j) {
      if (ans[i][j] != 'x') {
        graph.emplace_edge(left[i], right[j], 1);
      }
    }
  }
  const auto [flow, result] = push_relabel(graph).max_flow<false>(S, T);
  if (flow != sumA) {
    std::cout << ":(\n";
    return 0;
  }
  std::cout << "Yay!\n";
  for (size_t i = 0; i < H; ++i) {
    for (const auto &e: result[left[i]]) {
      if (e.flow > 0) {
        ans[i][right.to_index(e.dest)] = 'o';
      }
    }
  }
  for (const auto &vec: ans) {
    for (auto x: vec) {
      std::cout << x;
    }
    std::cout << '\n';
  }
  return 0;
}