結果

問題 No.898 tri-βutree
ユーザー HaarHaar
提出日時 2019-10-04 22:04:55
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 613 ms / 4,000 ms
コード長 6,057 bytes
コンパイル時間 2,305 ms
コンパイル使用メモリ 217,684 KB
実行使用メモリ 27,632 KB
最終ジャッジ日時 2024-11-08 22:16:03
合計ジャッジ時間 13,576 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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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 236 ms
27,632 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 2 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 2 ms
5,248 KB
testcase_07 AC 586 ms
22,380 KB
testcase_08 AC 587 ms
22,528 KB
testcase_09 AC 586 ms
22,400 KB
testcase_10 AC 584 ms
22,528 KB
testcase_11 AC 593 ms
22,656 KB
testcase_12 AC 593 ms
22,528 KB
testcase_13 AC 592 ms
22,528 KB
testcase_14 AC 599 ms
22,364 KB
testcase_15 AC 600 ms
22,584 KB
testcase_16 AC 586 ms
22,528 KB
testcase_17 AC 587 ms
22,528 KB
testcase_18 AC 606 ms
22,528 KB
testcase_19 AC 612 ms
22,400 KB
testcase_20 AC 613 ms
22,528 KB
testcase_21 AC 613 ms
22,384 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>
#define LLI long long int
#define FOR(v, a, b) for(LLI v = (a); v < (b); ++v)
#define FORE(v, a, b) for(LLI v = (a); v <= (b); ++v)
#define REP(v, n) FOR(v, 0, n)
#define REPE(v, n) FORE(v, 0, n)
#define REV(v, a, b) for(LLI v = (a); v >= (b); --v)
#define ALL(x) (x).begin(), (x).end()
#define RALL(x) (x).rbegin(), (x).rend()
#define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it)
#define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it)
#define EXIST(c,x) ((c).find(x) != (c).end())
#define fst first
#define snd second
#define popcount __builtin_popcount
#define UNIQ(v) (v).erase(unique(ALL(v)), (v).end())
#define bit(i) (1LL<<(i))

#ifdef DEBUG
#include <misc/C++/Debug.cpp>
#else
#define dump(...) ((void)0)
#endif

#define gcd __gcd

using namespace std;
template <class T> constexpr T lcm(T m, T n){return m/gcd(m,n)*n;}

template <typename I> void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost<<d; ost<<*i;}ost<<endl;}
template <typename T> istream& operator>>(istream &is, vector<T> &v){for(auto &a : v) is >> a; return is;}

template <typename T, typename U> bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);}
template <typename T, typename U> bool chmax(T &a, const U &b){return (a<b ? a=b, true : false);}
template <typename T, size_t N, typename U> void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);}

struct Init{
  Init(){
    cin.tie(0);
    ios::sync_with_stdio(false);
  }
}init;

template <typename Cost = int> class Edge{
public:
  int from,to;
  Cost cost;
  Edge() {}
  Edge(int to, Cost cost): to(to), cost(cost){}
  Edge(int from, int to, Cost cost): from(from), to(to), cost(cost){}

  Edge rev() const {return Edge(to,from,cost);}
  
  friend ostream& operator<<(ostream &os, const Edge &e){
    os << "(FROM: " << e.from << "," << "TO: " << e.to << "," << "COST: " << e.cost << ")";
    return os;
  }
};

template <typename T> using Graph = vector<vector<Edge<T>>>;
template <typename T> using Tree = vector<vector<Edge<T>>>;

template <typename C, typename T> void add_edge(C &g, int from, int to, T w){
  g[from].push_back(Edge<T>(from, to, w));  
}

template <typename C, typename T> void add_undirected(C &g, int a, int b, T w){
  g[a].push_back(Edge<T>(a, b, w));
  g[b].push_back(Edge<T>(b, a, w));
}

template <typename T> class HLDecomposition{
  Tree<T> tree;
  int n;

  vector<int> sub, // subtree size
    par, // parent id
    head, // chain head id 
    id, // id[original id] = hld id
    rid, // rid[hld id] = original id
    next, // next node in a chain
    end; // 

  int dfs_sub(int cur, int p){
    par[cur] = p;
    int t = 0;
    for(auto &e : tree[cur]){
      if(e.to == p) continue;
      sub[cur] += dfs_sub(e.to, cur);
      if(sub[e.to] > t){
        t = sub[e.to];
        next[cur] = e.to;
        swap(e, tree[cur][0]);
      }
    }
    return sub[cur];
  }

  void dfs_build(int cur, int &i){
    id[cur] = i;
    rid[i] = cur;
    ++i;

    for(auto &e : tree[cur]){
      if(e.to == par[cur]) continue;
      head[e.to] = (e.to == tree[cur][0].to ? head[cur] : e.to);
      dfs_build(e.to, i);
    }

    end[cur] = i;
  }
  

public:
  HLDecomposition(const Tree<T> &tree):
    tree(tree), n(tree.size()), sub(n,1), par(n,-1), head(n), id(n), rid(n), next(n,-1), end(n, -1){
    dfs_sub(0, -1);
    int i=0;
    dfs_build(0, i);
  }

  void path_query_vertex(int x, int y, const function<void(int,int)> &f){
    while(1){
      if(id[x] > id[y]) swap(x, y);
      f(max(id[head[y]], id[x]), id[y]+1);
      if(head[x] == head[y]) return;
      y = par[head[y]];
    }
  }

  void path_query_edge(int x, int y, const function<void(int,int)> &f){
    while(1){
      if(id[x] > id[y]) swap(x, y);
      if(head[x] == head[y]){
        if(x != y) f(id[x]+1, id[y]+1);
        return;
      }
      f(id[head[y]], id[y]+1);
      y = par[head[y]];
    }
  }
  
  void subtree_query_edge(int x, const function<void(int,int)> &f){
    f(id[x]+1, end[x]);
  }

  void subtree_query_vertex(int x, const function<void(int,int)> &f){
    f(id[x], end[x]);
  }

  int get_edge_id(int u, int v){ // 辺に対応するid
    if(par[u] == v){
      return id[u];
    }else if(par[v] == u){
      return id[v];
    }
 
    return -1;
  }

  int parent(int x){return par[x];};

  int lca(int u, int v){
    while(1){
      if(id[u] > id[v]) swap(u, v);
      if(head[u] == head[v]) return u;
      v = par[head[v]];
    }
  }

  int get_id(int x){
    return id[x];
  }
};

template <typename T> class SegmentTreeRangeSumQuery{
private:
  int size;
  vector<T> vec;
  T e;
  
  inline T aux(int x, int y, int i, int l, int r){
    if(r<=x || y<=l) return e;
    else if(x<=l && r<=y) return vec[i];
    else return aux(x,y,i*2+1,l,(l+r)/2) + aux(x,y,i*2+2,(l+r)/2,r);
  };

public:
  SegmentTreeRangeSumQuery(int n, const T &e): e(e){
    size = 1;
    while(size < n) size *= 2;
    size = size*2-1;
    vec = vector<T>(size, e);
  }

  inline void update(int i, const T &x){
    int j = i+(size+1)/2-1;
    vec[j] = x;
    --j;
    while(j>=0){
      vec[j/2] = vec[(j/2)*2+1] + vec[(j/2)*2+2];
      (j /= 2) -= 1;
    }
  }
  
  inline T at(int i){
  	return vec[(size+1)/2 + i - 1];
  }

  inline T get(int x, int y){ // [x,y)
    return aux(x,y,0,0,(size+1)/2);
  }
};




int main(){
  int N; cin >> N;
  Tree<LLI> tree(N);
  REP(i,N-1){
    int u,v; cin >> u >> v;
    LLI w; cin >> w;
    add_undirected(tree,u,v,w);
  }

  HLDecomposition<LLI> hld(tree);
  SegmentTreeRangeSumQuery<LLI> seg(N, 0);

  REP(i,N){
    for(auto &e : tree[i]){
      if(e.from < e.to){
        seg.update(hld.get_edge_id(e.from, e.to), e.cost);
      }
    }
  }

  int Q; cin >> Q;
  REP(_,Q){
    int x,y,z; cin >> x >> y >> z;
    
    LLI ans = 0;

    auto f = [&](int i, int j){
               ans += seg.get(i,j);
             };

    hld.path_query_edge(x,y,f);
    hld.path_query_edge(y,z,f);
    hld.path_query_edge(z,x,f);

    ans /= 2;
    
    cout << ans << endl;
  }



  return 0;
}
0