#386785 (C++17) No.898 tri-βutree

• 問題: No.898 tri-βutree
• ユーザー: mai
• 提出日時: 2019-10-04 22:29:47
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 132 ms / 4,000 ms
• コード長: 9,225 bytes
• コンパイル時間: 3,240 ms
• コンパイル使用メモリ: 227,740 KB
• 実行使用メモリ: 36,396 KB
• 最終ジャッジ日時: 2024-11-08 22:20:11
• 合計ジャッジ時間: 7,381 ms
• ジャッジサーバーID （参考情報）: judge5 / judge4

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	61 ms; 36,396 KB
testcase_01	AC	1 ms; 5,248 KB
testcase_02	AC	1 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	128 ms; 33,164 KB
testcase_08	AC	125 ms; 33,080 KB
testcase_09	AC	121 ms; 33,088 KB
testcase_10	AC	127 ms; 33,196 KB
testcase_11	AC	126 ms; 33,080 KB
testcase_12	AC	124 ms; 33,080 KB
testcase_13	AC	126 ms; 33,084 KB
testcase_14	AC	123 ms; 33,084 KB
testcase_15	AC	125 ms; 33,084 KB
testcase_16	AC	132 ms; 33,072 KB
testcase_17	AC	129 ms; 33,080 KB
testcase_18	AC	120 ms; 33,080 KB
testcase_19	AC	126 ms; 33,216 KB
testcase_20	AC	117 ms; 32,956 KB
testcase_21	AC	117 ms; 33,084 KB

ソースコード

#pragma GCC optimize ("O3")
#include "bits/stdc++.h"

using namespace std;
using ll = long long int;

#define debugos cout
#define debug(v) {printf("L%d %s > ",__LINE__,#v);debugos<<(v)<<endl;}
#define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:(v)){debugos<<e<<" ";}debugos<<endl;}
#define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){debugos<<(m)[x]<<" ";}debugos<<endl;}
#define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){debugos<<(m)[y][x]<<" ";}debugos<<endl;}}
#define all(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(auto cnt=remove_reference<decltype(l)>::type();(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L;
inline void assert_call(bool assertion, function<void()> f) { if (!assertion) { cerr << "assertion fault:" << endl; f(); abort(); } }
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; return o; }
template<typename Vec> inline ostream& _ostream_vecprint(ostream& os, const Vec& a) {
    os << '['; for (const auto& e : a) os << ' ' << e << ' '; os << ']'; return os; }
template<typename T> inline ostream& operator<<(ostream& o, const vector<T>& v) { return _ostream_vecprint(o, v); }
template<typename T, size_t S> inline ostream& operator<<(ostream& o, const array<T, S>& v) { return _ostream_vecprint(o, v); }
template<typename T> inline T& chmax(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& chmin(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T, typename Random = decltype(randdev), typename enable_if<is_integral<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution<T>(l, h)(rand); }
template<typename T, typename Random = decltype(randdev), typename enable_if<is_floating_point<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution<T>(l, h)(rand); }

#if defined(_WIN32) || defined(_WIN64)
#define getc_x _getc_nolock
#define putc_x _putc_nolock
#elif defined(__GNUC__)
#define getc_x getc_unlocked
#define putc_x putc_unlocked
#else
#define getc_x getc
#define putc_x putc
#endif
#define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E)
class MaiScanner {
    FILE* fp_;
public:
    inline MaiScanner(FILE* fp):fp_(fp){}
    template<typename T> void input_integer(T& var) noexcept {
        var = 0; T sign = 1;
        int cc = getc_x(fp_);
        for (; cc < '0' || '9' < cc; cc = getc_x(fp_))
            if (cc == '-') sign = -1;
        for (; '0' <= cc && cc <= '9'; cc = getc_x(fp_))
            var = (var << 3) + (var << 1) + cc - '0';
        var = var * sign;
    }
    inline int c() noexcept { return getc_x(fp_); }
    inline MaiScanner& operator>>(int& var) noexcept { input_integer<int>(var); return *this; }
    inline MaiScanner& operator>>(long long& var) noexcept { input_integer<long long>(var); return *this; }
    inline MaiScanner& operator>>(string& var) {
        int cc = getc_x(fp_);
        for (; !isvisiblechar(cc); cc = getc_x(fp_));
        for (; isvisiblechar(cc); cc = getc_x(fp_))
            var.push_back(cc);
        return *this;
    }
    template<typename IT> inline void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
};
class MaiPrinter {
    FILE* fp_;
public:
    inline MaiPrinter(FILE* fp):fp_(fp){}
    template<typename T>
    void output_integer(T var) noexcept {
        if (var == 0) { putc_x('0', fp_); return; }
        if (var < 0)
            putc_x('-', fp_),
            var = -var;
        char stack[32]; int stack_p = 0;
        while (var)
            stack[stack_p++] = '0' + (var % 10),
            var /= 10;
        while (stack_p)
            putc_x(stack[--stack_p], fp_);
    }
    inline MaiPrinter& operator<<(char c) noexcept { putc_x(c, fp_); return *this; }
    inline MaiPrinter& operator<<(int var) noexcept { output_integer<int>(var); return *this; }
    inline MaiPrinter& operator<<(long long var) noexcept { output_integer<long long>(var); return *this; }
    inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putc_x(*(str_p++), fp_); return *this; }
    inline MaiPrinter& operator<<(const string& str) {
        const char* p = str.c_str();
        const char* l = p + str.size();
        while (p < l) putc_x(*p++, fp_);
        return *this;
    }
    template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; }
};
MaiScanner scanner(stdin);
MaiPrinter printer(stdout);

class Graph {
 public:
  int n;
  vector<vector<int>> vertex_to;

  Graph(int n = 1) : n(n), vertex_to(n) {}

  inline int size() const { return n; }
  void resize(int _n) { vertex_to.resize(n = _n); }
  void connect(int from, int to) {
    vertex_to[(int)from].emplace_back(to);
    vertex_to[(int)to].emplace_back(from);
  }
};
// Edge構造体を定義する無向グラフ
class GraphE {
 public:
  using W_T = int;
  struct Edge {
    int u, v;
    W_T value;
    Edge(int from = 0, int to = 0, W_T value = 0) : u(from), v(to), value(value) {}
    inline int to(int _v) const { return _v == v ? u : v; }
  };
  size_t n;
  vector<vector<int>> vertex_to;
  vector<Edge> edges;

  GraphE(int n = 1) : n(n), vertex_to(n) {}

  inline size_t size() const noexcept { return n; }
  void resize(size_t _n) { vertex_to.resize(n = _n); }
  void connect(int from, int to, W_T val = 0) {
    vertex_to[(size_t)from].push_back((int)edges.size());
    vertex_to[(size_t)to].push_back((int)edges.size());
    edges.emplace_back(from, to, val);
  }
  void connect(vector<Edge>&& es) {
    edges = move(es);
    for (int i = 0; (size_t)i < edges.size(); ++i) {
      vertex_to[edges[i].u].push_back(i);
      vertex_to[edges[i].v].push_back(i);
    }
  }
};

template <typename T>
class SparseTable {
 public:
  int size;
  vector<int> log2;
  vector<T> data;
  vector<T> dp;

  SparseTable(int size) : size(size), log2(size + 1), data(size) {
    // for fast calculate log2
    for (int i = 2; i <= size; ++i) {
      log2[i] = log2[i >> 1] + 1;
    }

    dp.resize(size * (log2[size] + 1));
  }

  inline T& operator[](size_t i) { return data[i]; }
  inline T operator[](size_t i) const { return data[i]; }

  void build() {
    int l, i, f, b;
    for (i = 0; i < size; i++) {
      dp[i] = i;
    }
    for (l = 1; (1 << l) <= size; l++) {
      for (i = 0; i + (1 << l) <= size; i++) {
        f = dp[i + size * (l - 1)];
        b = dp[(i + (1 << (l - 1))) + size * (l - 1)];

        dp[i + size * l] = (data[f] <= data[b]) ? f : b;  // minimum
      }
    }
  }

  // range [l,r)
  int getminrangeIdx(int l, int r) const {
    int lg = log2[r - l];
    int i1 = dp[l + size * lg];
    int i2 = dp[r - (1 << lg) + size * lg];
    return (data[i1] <= data[i2]) ? i1 : i2;  // minimum
  }
};

class LCATable {
  vector<int> visited_;
  vector<int> visited_inv_;
  SparseTable<int> depth_;

 public:
  LCATable(const Graph& g, int root = 0) : visited_(g.n * 2), visited_inv_(g.n), depth_(g.n * 2) {
    build(g, root);
  }

  int _tour_dfs(const Graph& g, int idx, int from = -1, int step = 0, int dep = 0) {
    depth_[step] = dep;
    visited_inv_[idx] = step;
    visited_[step] = idx;

    for (int to : g.vertex_to[idx]) {
      if (to == from)
        continue;
      step = _tour_dfs(g, to, idx, ++step, dep + 1);
      depth_[step] = dep;
      visited_[step] = idx;
    }
    return ++step;
  }

  inline void build(const Graph& g, int root = 0) {
    _tour_dfs(g, root);
    depth_.build();
  }

  inline int operator()(int u, int v) {
    return visited_inv_[u] <= visited_inv_[v]
               ? visited_[depth_.getminrangeIdx(visited_inv_[u], visited_inv_[v])]
               :
               operator()(v, u);
  }
};


//

int N, M;
Graph graph;
GraphE graphe;
ll tourist[100010];

//

void tour(int v, int from = -1){
    for (auto ei : graphe.vertex_to[v]) {
        int u = graphe.edges[ei].to(v);
        if (u == from) continue;
        tourist[u] += tourist[v] + graphe.edges[ei].value;
        tour(u, v);
    }
}


int main() {
    
    scanner >> N;
    M = N - 1;
    
    graph.resize(N);
    graphe.resize(N);
    
    repeat(i, M) {
        int a, b, c;
        scanner >> a >> b >> c;
        graph.connect(a, b);
        graphe.connect(a, b, c);
    }
    
    LCATable lca(graph, 0);
    tour(0);
    
    int nquery; scanner >> nquery;
    
    auto dist = [&lca](int u, int v) -> ll{
        int w = lca(u, v);
        return tourist[u] + tourist[v] - tourist[w]*2;
    };
    
    repeat(i, nquery) {
        int x,y,z; scanner >> x >> y >> z;
        ll d = (dist(x, y) + dist(y, z) + dist(z, x)) / 2;
        printer << d << '\n';
    }
    
    
    return 0;
}