#213187 (C++17) No.399 動的な領主

• 問題: No.399 動的な領主
• ユーザー: ei1333333
• 提出日時: 2017-10-31 10:54:21
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 153 ms / 2,000 ms
• コード長: 5,996 bytes
• コンパイル時間: 2,861 ms
• コンパイル使用メモリ: 214,084 KB
• 最終ジャッジ日時: 2025-01-05 03:41:01
• ジャッジサーバーID （参考情報）: judge4 / judge1

ファイルパターン	結果
other	AC * 19

コンパイルメッセージ

main.cpp: In function ‘int main()’:
main.cpp:228:8: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  228 |   scanf("%d", &N);
      |   ~~~~~^~~~~~~~~~
main.cpp:232:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  232 |     scanf("%d %d", &a, &b);
      |     ~~~~~^~~~~~~~~~~~~~~~~
main.cpp:237:8: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  237 |   scanf("%d", &Q);
      |   ~~~~~^~~~~~~~~~
main.cpp:240:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  240 |     scanf("%d %d", &a, &b);
      |     ~~~~~^~~~~~~~~~~~~~~~~

ソースコード

#include <bits/stdc++.h>

using namespace std;

struct CentroidPathDecomposition
{
  struct Centroid
  {
    int ParIndex, ParDepth, Deep;
    vector< int > node;

    Centroid(int idx, int dep, int deep) : ParIndex(idx), ParDepth(dep), Deep(deep) {}

    inline size_t size()
    {
      return (node.size());
    }

    inline int &operator[](int k)
    {
      return (node[k]);
    }

    inline pair< int, int > Up()
    {
      return (make_pair(ParIndex, ParDepth));
    }
  };

  vector< vector< int > > graph;
  vector< int > SubTreeSize, NextPath;
  vector< int > TreeIndex, TreeDepth;
  vector< Centroid > Centroids;

  void BuildSubTreeSize()
  {
    stack< pair< int, int > > s;
    s.emplace(0, -1);
    while(!s.empty()) {
      auto p = s.top();
      s.pop();
      if(~SubTreeSize[p.first]) {
        NextPath[p.first] = -1;
        for(auto &to : graph[p.first]) {
          if(p.second == to) continue;
          SubTreeSize[p.first] += SubTreeSize[to];
          if(NextPath[p.first] == -1 || SubTreeSize[NextPath[p.first]] < SubTreeSize[to]) {
            NextPath[p.first] = to;
          }
        }
      } else {
        s.push(p);
        SubTreeSize[p.first] = 1;
        for(auto &to : graph[p.first]) {
          if(p.second != to) s.emplace(to, p.first);
        }
      }
    }
  }

  void BuildPath()
  {
    stack< pair< int, int > > s;
    Centroids.emplace_back(-1, -1, 0);
    s.emplace(0, -1);
    TreeIndex[0] = 0;
    while(!s.empty()) {
      auto p = s.top();
      s.pop();
      TreeDepth[p.first] = (int) Centroids[TreeIndex[p.first]].size();
      for(auto &to : graph[p.first]) {
        if(p.second == to) continue;
        if(to == NextPath[p.first]) { // Centroid-Path
          TreeIndex[to] = TreeIndex[p.first];
        } else {                  // Not Centroid-Path
          TreeIndex[to] = (int) Centroids.size();
          Centroids.emplace_back(TreeIndex[p.first], TreeDepth[p.first], Centroids[TreeIndex[p.first]].Deep + 1);
        }
        s.emplace(to, p.first);
      }
      Centroids[TreeIndex[p.first]].node.emplace_back(p.first);
    }
  }

  void AddEdge(int x, int y)
  {
    graph[x].push_back(y);
    graph[y].push_back(x);
  }

  virtual void Build()
  {
    BuildSubTreeSize();
    BuildPath();
  }

  inline size_t size()
  {
    return (Centroids.size());
  }

  inline pair< int, int > Information(int idx)
  {
    return (make_pair(TreeIndex[idx], TreeDepth[idx]));
  }

  inline Centroid &operator[](int k)
  {
    return (Centroids[k]);
  }

  inline int LCA(int a, int b)
  {
    int TreeIdxA, TreeDepthA, TreeIdxB, TreeDepthB;
    tie(TreeIdxA, TreeDepthA) = Information(a);
    tie(TreeIdxB, TreeDepthB) = Information(b);
    while(TreeIdxA != TreeIdxB) {
      if(Centroids[TreeIdxA].Deep > Centroids[TreeIdxB].Deep) {
        tie(TreeIdxA, TreeDepthA) = Centroids[TreeIdxA].Up();
      } else {
        tie(TreeIdxB, TreeDepthB) = Centroids[TreeIdxB].Up();
      }
    }
    if(TreeDepthA > TreeDepthB) swap(TreeDepthA, TreeDepthB);
    return (Centroids[TreeIdxA][TreeDepthA]);
  }

  inline virtual void query(int a, int b, const function< void(int, int, int) > &f)
  {
    int TreeIdxA, TreeDepthA, TreeIdxB, TreeDepthB;
    tie(TreeIdxA, TreeDepthA) = Information(a);
    tie(TreeIdxB, TreeDepthB) = Information(b);
    while(TreeIdxA != TreeIdxB) {
      if(Centroids[TreeIdxA].Deep > Centroids[TreeIdxB].Deep) {
        f(TreeIdxA, 0, TreeDepthA + 1);
        tie(TreeIdxA, TreeDepthA) = Centroids[TreeIdxA].Up();
      } else {
        f(TreeIdxB, 0, TreeDepthB + 1);
        tie(TreeIdxB, TreeDepthB) = Centroids[TreeIdxB].Up();
      }
    }
    if(TreeDepthA > TreeDepthB) swap(TreeDepthA, TreeDepthB);
    f(TreeIdxA, TreeDepthA, TreeDepthB + 1);
  }

  CentroidPathDecomposition(int SZ)
  {
    graph.resize(SZ);
    SubTreeSize.assign(SZ, -1);
    NextPath.resize(SZ);
    TreeIndex.resize(SZ);
    TreeDepth.resize(SZ);
  }
};

struct TreeArray : CentroidPathDecomposition
{
  TreeArray(int sz) : CentroidPathDecomposition(sz) {}

  vector< int > index;

  void Build()
  {
    CentroidPathDecomposition::Build();
    int ptr = 0;
    for(auto &centroid : Centroids) {
      index.emplace_back(ptr);
      ptr += centroid.size();
    }
  }

  inline int get(int a)
  {
    return (index[a]);
  }

  inline void query(int a, int b, const function< void(int, int) > &f)
  {
    int TreeIdxA, TreeDepthA, TreeIdxB, TreeDepthB;
    tie(TreeIdxA, TreeDepthA) = Information(a);
    tie(TreeIdxB, TreeDepthB) = Information(b);
    while(TreeIdxA != TreeIdxB) {
      if(Centroids[TreeIdxA].Deep > Centroids[TreeIdxB].Deep) {
        f(index[TreeIdxA], index[TreeIdxA] + TreeDepthA + 1);
        tie(TreeIdxA, TreeDepthA) = Centroids[TreeIdxA].Up();
      } else {
        f(index[TreeIdxB], index[TreeIdxB] + TreeDepthB + 1);
        tie(TreeIdxB, TreeDepthB) = Centroids[TreeIdxB].Up();
      }
    }
    if(TreeDepthA > TreeDepthB) swap(TreeDepthA, TreeDepthB);
    f(index[TreeIdxA] + TreeDepthA, index[TreeIdxA] + TreeDepthB + 1);
  }
};

template< class T >
struct CumulativeSum
{
  vector< T > data;

  CumulativeSum(int sz) : data(sz, 0) {};

  void add(int k, int x)
  {
    data[k] += x;
  }

  void build()
  {
    for(int i = 1; i < data.size(); i++) {
      data[i] += data[i - 1];
    }
  }

  T query(int k)
  {
    if(k < 0) return (0);
    return (data[min(k, (int) data.size() - 1)]);
  }
};

using int64 = long long;

int main()
{
  int N, Q;

  scanf("%d", &N);
  TreeArray tree(N);
  for(int i = 1; i < N; i++) {
    int a, b;
    scanf("%d %d", &a, &b);
    tree.AddEdge(--a, --b);
  }
  tree.Build();
  CumulativeSum< int > sum(N + 1);
  scanf("%d", &Q);
  for(int i = 0; i < Q; i++) {
    int a, b;
    scanf("%d %d", &a, &b);
    tree.query(--a, --b, [&](int l, int r)
    {
      sum.add(l, 1);
      sum.add(r, -1);
    });
  }
  sum.build();

  int64 ret = 0;
  for(int i = 0; i < N; i++) {
    ret += 1LL * sum.query(i) * (sum.query(i) + 1) / 2;
  }
  printf("%lld\n", ret);
}