結果

問題 No.1254 補強への架け橋
ユーザー ei1333333ei1333333
提出日時 2021-04-18 02:23:16
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 137 ms / 2,000 ms
コード長 6,625 bytes
コンパイル時間 3,753 ms
コンパイル使用メモリ 226,880 KB
実行使用メモリ 26,468 KB
最終ジャッジ日時 2023-09-17 07:31:33
合計ジャッジ時間 15,010 ms
ジャッジサーバーID
(参考情報)
judge12 / judge11
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 2 ms
4,384 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 1 ms
4,380 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 2 ms
4,380 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 2 ms
4,376 KB
testcase_10 AC 2 ms
4,380 KB
testcase_11 AC 1 ms
4,380 KB
testcase_12 AC 2 ms
4,380 KB
testcase_13 AC 1 ms
4,376 KB
testcase_14 AC 2 ms
4,380 KB
testcase_15 AC 1 ms
4,380 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 2 ms
4,376 KB
testcase_18 AC 2 ms
4,376 KB
testcase_19 AC 1 ms
4,380 KB
testcase_20 AC 1 ms
4,376 KB
testcase_21 AC 2 ms
4,380 KB
testcase_22 AC 2 ms
4,380 KB
testcase_23 AC 1 ms
4,376 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 1 ms
4,380 KB
testcase_26 AC 1 ms
4,380 KB
testcase_27 AC 1 ms
4,376 KB
testcase_28 AC 2 ms
4,376 KB
testcase_29 AC 1 ms
4,380 KB
testcase_30 AC 1 ms
4,384 KB
testcase_31 AC 2 ms
4,380 KB
testcase_32 AC 2 ms
4,376 KB
testcase_33 AC 2 ms
4,376 KB
testcase_34 AC 2 ms
4,380 KB
testcase_35 AC 1 ms
4,376 KB
testcase_36 AC 1 ms
4,380 KB
testcase_37 AC 2 ms
4,380 KB
testcase_38 AC 2 ms
4,384 KB
testcase_39 AC 2 ms
4,376 KB
testcase_40 AC 1 ms
4,380 KB
testcase_41 AC 1 ms
4,376 KB
testcase_42 AC 1 ms
4,380 KB
testcase_43 AC 2 ms
4,376 KB
testcase_44 AC 2 ms
4,380 KB
testcase_45 AC 2 ms
4,380 KB
testcase_46 AC 2 ms
4,376 KB
testcase_47 AC 2 ms
4,504 KB
testcase_48 AC 2 ms
4,380 KB
testcase_49 AC 1 ms
4,376 KB
testcase_50 AC 2 ms
4,376 KB
testcase_51 AC 2 ms
4,376 KB
testcase_52 AC 2 ms
4,384 KB
testcase_53 AC 2 ms
4,384 KB
testcase_54 AC 2 ms
4,384 KB
testcase_55 AC 2 ms
4,380 KB
testcase_56 AC 2 ms
4,380 KB
testcase_57 AC 2 ms
4,376 KB
testcase_58 AC 2 ms
4,380 KB
testcase_59 AC 2 ms
4,376 KB
testcase_60 AC 2 ms
4,380 KB
testcase_61 AC 3 ms
4,380 KB
testcase_62 AC 2 ms
4,376 KB
testcase_63 AC 9 ms
5,424 KB
testcase_64 AC 4 ms
4,380 KB
testcase_65 AC 6 ms
4,472 KB
testcase_66 AC 5 ms
4,440 KB
testcase_67 AC 3 ms
4,380 KB
testcase_68 AC 5 ms
4,556 KB
testcase_69 AC 7 ms
4,576 KB
testcase_70 AC 4 ms
4,376 KB
testcase_71 AC 3 ms
4,376 KB
testcase_72 AC 7 ms
4,760 KB
testcase_73 AC 4 ms
4,376 KB
testcase_74 AC 7 ms
4,632 KB
testcase_75 AC 5 ms
4,384 KB
testcase_76 AC 2 ms
4,376 KB
testcase_77 AC 5 ms
4,388 KB
testcase_78 AC 8 ms
5,120 KB
testcase_79 AC 9 ms
4,952 KB
testcase_80 AC 7 ms
4,652 KB
testcase_81 AC 8 ms
4,984 KB
testcase_82 AC 8 ms
5,020 KB
testcase_83 AC 112 ms
23,588 KB
testcase_84 AC 103 ms
18,744 KB
testcase_85 AC 56 ms
14,292 KB
testcase_86 AC 88 ms
20,124 KB
testcase_87 AC 97 ms
19,320 KB
testcase_88 AC 14 ms
6,460 KB
testcase_89 AC 111 ms
20,516 KB
testcase_90 AC 64 ms
14,216 KB
testcase_91 AC 46 ms
12,496 KB
testcase_92 AC 23 ms
8,832 KB
testcase_93 AC 85 ms
18,116 KB
testcase_94 AC 75 ms
18,580 KB
testcase_95 AC 73 ms
18,340 KB
testcase_96 AC 108 ms
23,432 KB
testcase_97 AC 37 ms
10,036 KB
testcase_98 AC 103 ms
18,468 KB
testcase_99 AC 56 ms
15,672 KB
testcase_100 AC 124 ms
24,592 KB
testcase_101 AC 21 ms
7,544 KB
testcase_102 AC 11 ms
5,768 KB
testcase_103 AC 22 ms
8,268 KB
testcase_104 AC 32 ms
10,660 KB
testcase_105 AC 80 ms
17,480 KB
testcase_106 AC 44 ms
12,612 KB
testcase_107 AC 115 ms
25,392 KB
testcase_108 AC 112 ms
20,828 KB
testcase_109 AC 83 ms
17,596 KB
testcase_110 AC 72 ms
16,984 KB
testcase_111 AC 79 ms
16,660 KB
testcase_112 AC 31 ms
9,404 KB
testcase_113 AC 72 ms
17,668 KB
testcase_114 AC 45 ms
12,936 KB
testcase_115 AC 14 ms
6,176 KB
testcase_116 AC 51 ms
14,432 KB
testcase_117 AC 34 ms
10,104 KB
testcase_118 AC 102 ms
21,324 KB
testcase_119 AC 56 ms
15,248 KB
testcase_120 AC 98 ms
22,192 KB
testcase_121 AC 26 ms
8,320 KB
testcase_122 AC 50 ms
13,860 KB
testcase_123 AC 1 ms
4,380 KB
testcase_124 AC 136 ms
26,468 KB
testcase_125 AC 137 ms
26,352 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(10);
    cerr << fixed << setprecision(10);
  }
} 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)};
}

template< typename T = int >
struct Edge {
  int from, to;
  T cost;
  int idx;

  Edge() = default;

  Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}

  operator int() const { return to; }
};

template< typename T = int >
struct Graph {
  vector< vector< Edge< T > > > g;
  int es;

  Graph() = default;

  explicit Graph(int n) : g(n), es(0) {}

  size_t size() const {
    return g.size();
  }

  void add_directed_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es++);
  }

  void add_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es);
    g[to].emplace_back(to, from, cost, es++);
  }

  void read(int M, int padding = -1, bool weighted = false, bool directed = false) {
    for(int i = 0; i < M; i++) {
      int a, b;
      cin >> a >> b;
      a += padding;
      b += padding;
      T c = T(1);
      if(weighted) cin >> c;
      if(directed) add_directed_edge(a, b, c);
      else add_edge(a, b, c);
    }
  }
};

template< typename T = int >
using Edges = vector< Edge< T > >;

/**
 * @brief Namori-Graph
 * @docs docs/namori-graph.md
 */
template< typename T = int >
struct NamoriGraph : Graph< T > {
public:
  using Graph< T >::Graph;
  using Graph< T >::g;

  vector< Graph< T > > forest;
  Edges< T > loop_edges;

  struct Info {
    int forest_id, id;
  };

  Info operator[](const int &k) const {
    return (Info) {mark_id[k], id[k]};
  }

  int inv(int forest_id, int k) {
    return iv[forest_id][k];
  }

  size_t loop_size() {
    return forest.size();
  }

  void build() {
    int n = (int) g.size();
    vector< int > deg(n), used(n);
    queue< int > que;
    for(int i = 0; i < n; i++) {
      deg[i] = (int) g[i].size();
      if(deg[i] == 1) {
        que.emplace(i);
        used[i] = true;
      }
    }
    while(not que.empty()) {
      int idx = que.front();
      que.pop();
      for(auto &e : g[idx]) {
        if(used[e.to]) {
          continue;
        }
        --deg[e.to];
        if(deg[e.to] == 1) {
          que.emplace(e.to);
          used[e.to] = true;
        }
      }
    }
    int mx = 0;
    for(auto &edges : g) {
      for(auto &e : edges) mx = max(mx, e.idx);
    }
    vector< int > edge_used(mx + 1);
    vector< int > loop;
    for(int v = 0; v < n; v++) {
      if(!used[v]) {
        for(bool update = true; update;) {
          update = false;
          loop.emplace_back(v);
          for(auto &e : g[v]) {
            if(used[e.to] or edge_used[e.idx]) {
              continue;
            }
            edge_used[e.idx] = true;
            loop_edges.emplace_back(loop.size() - 1, loop.size(), e.cost, e.idx);
            v = e.to;
            update = true;
            break;
          }
        }
        break;
      }
    }
    loop.pop_back();
    loop_edges.back().to = 0;
    mark_id.resize(n);
    id.resize(n);
    int ptr = 0;
    for(int i = 0; i < (int) loop.size(); i++) {
      int pre = loop[(i + loop.size() - 1) % loop.size()];
      int nxt = loop[(i + 1) % loop.size()];
      int sz = 0;
      mark_id[loop[i]] = ptr;
      iv.emplace_back();
      id[loop[i]] = sz++;
      iv.back().emplace_back(loop[i]);
      for(auto &e : g[loop[i]]) {
        if(e.to != pre and e.to != nxt) {
          mark_dfs(e.to, loop[i], ptr, sz);
        }
      }
      Graph< T > tree(sz);
      for(auto &e : g[loop[i]]) {
        if(e.to != pre and e.to != nxt) {
          tree.g[id[loop[i]]].emplace_back(id[loop[i]], id[e.to], e.cost, e.idx);
          tree.g[id[e.to]].emplace_back(id[e.to], id[loop[i]], e.cost, e.idx);
          build_dfs(e.to, loop[i], tree);
        }
      }
      forest.emplace_back(tree);
    }
  }

private:
  vector< vector< int > > iv;
  vector< int > mark_id, id;

  void mark_dfs(int idx, int par, int k, int &l) {
    mark_id[idx] = k;
    id[idx] = l++;
    iv.back().emplace_back(idx);
    for(auto &e : g[idx]) {
      if(e.to != par) {
        mark_dfs(e.to, idx, k, l);
      }
    }
  }

  void build_dfs(int idx, int par, Graph< T > &tree) {
    for(auto &e : g[idx]) {
      if(e.to != par) {
        tree.g[id[idx]].emplace_back(id[idx], id[e.to], e.cost, e.idx);
        tree.g[id[e.to]].emplace_back(id[e.to], id[idx], e.cost, e.idx);
        build_dfs(e.to, idx, tree);
      }
    }
  }
};

int main() {
  int N;
  cin >> N;
  NamoriGraph< int > g(N);
  g.read(N);
  g.build();
  vector< int > ans;
  for(auto &e : g.loop_edges) {
    ans.emplace_back(e.idx + 1);
  }
  sort(begin(ans), end(ans));
  cout << ans.size() << "\n";
  cout << ans << "\n";
}
0