test/verify/aoj-grl-5-a-2.test.cpp

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• Last update: 2024-04-24 02:34:04+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_5_A

Depends on

• Diameter (structure/develop/diameter.hpp)
• 何でもできるLCT (structure/develop/super-link-cut-tree.hpp)
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_5_A

#include "../../template/template.hpp"
#include "../../structure/develop/diameter.hpp"

int main() {
  int N;
  cin >> N;
  LCT lct;
  vector< vector< pair< int, int > > > g(N);
  for(int i = 1; i < N; i++) {
    int x, y, z;
    cin >> x >> y >> z;
    g[x].emplace_back(y, z);
    g[y].emplace_back(x, z);
  }
  vector< LCT::NP > vs(N), es(N);
  auto rec = MFP([&](auto rec, int idx, int par) -> void {
    vs[idx] = lct.alloc(0);
    for(auto &e: g[idx]) {
      if(e.first == par) continue;
      rec(e.first, idx);
      es[e.first] = lct.alloc(e.second);
      lct.link(vs[e.first], es[e.first]);
      lct.link(es[e.first], vs[idx]);
    }
  });
  rec(0, -1);
  cout << lct.query(vs[0]).dia_max << "\n";
}

#line 1 "test/verify/aoj-grl-5-a-2.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_5_A

#line 1 "template/template.hpp"
#include<bits/stdc++.h>

using namespace std;

using int64 = long long;

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 {
  explicit 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)};
}
#line 1 "structure/develop/super-link-cut-tree.hpp"
/**
 * @brief 何でもできるLCT
 */
template< typename LInfo, typename Lazy >
struct SplayTree {
  struct Node {
    Node *l, *r, *p;
    LInfo info;
    Lazy lazy, lbuf;

    explicit Node(const LInfo &info) : info(info), l(nullptr), r(nullptr),
                                       p(nullptr), lazy(Lazy()), lbuf(Lazy()) {}
  };

  const LInfo e;

  SplayTree() : e(LInfo()) {}

  using NP = Node *;

  void rotr(NP t) {
    NP x = t->p, y = x->p;
    push(x), push(t);
    if((x->l = t->r)) t->r->p = x;
    t->r = x, x->p = t;
    update(x), update(t);
    if((t->p = y)) {
      if(y->l == x) y->l = t;
      if(y->r == x) y->r = t;
    }
  }

  void rotl(NP t) {
    NP x = t->p, y = x->p;
    push(x), push(t);
    if((x->r = t->l)) t->l->p = x;
    t->l = x, x->p = t;
    update(x), update(t);
    if((t->p = y)) {
      if(y->l == x) y->l = t;
      if(y->r == x) y->r = t;
    }
  }

  const LInfo &get_info(NP t) {
    return t ? t->info : e;
  }

  void update(NP t) {
    t->info.update(get_info(t->l), get_info(t->r));
  }

  NP get_right(NP t) {
    while(t->r) t = t->r;
    return t;
  }

  NP alloc(const LInfo &v) {
    auto t = new Node(v);
    update(t);
    return t;
  }

  void propagate(NP t, const Lazy &lazy) {
    t->info.propagate(lazy);
    t->lbuf.propagate(lazy);
    t->lazy.propagate(lazy);
  }

  void push(NP t) {
    if(t->l) propagate(t->l, t->lazy);
    if(t->r) propagate(t->r, t->lazy);
    t->lazy = Lazy();
  }

  void splay(NP t) {
    push(t);
    while(t->p) {
      NP q = t->p;
      if(!q->p) {
        if(q->l == t) rotr(t);
        else rotl(t);
      } else {
        NP r = q->p;
        if(r->l == q) {
          if(q->l == t) rotr(q), rotr(t);
          else rotl(t), rotr(t);
        } else {
          if(q->r == t) rotl(q), rotl(t);
          else rotr(t), rotl(t);
        }
      }
    }
  }

  NP insert(NP t, const LInfo &v) {
    if(not t) {
      t = alloc(v);
      return t;
    } else {
      NP cur = get_right(t), z = alloc(v);
      splay(cur);
      z->p = cur;
      cur->r = z;
      update(cur);
      splay(z);
      return z;
    }
  }

  NP erase(NP t) {
    splay(t);
    NP x = t->l, y = t->r;
    delete t;
    if(not x) {
      t = y;
      if(t) t->p = nullptr;
    } else if(not y) {
      t = x;
      t->p = nullptr;
    } else {
      x->p = nullptr;
      t = get_right(x);
      splay(t);
      t->r = y;
      y->p = t;
      update(t);
    }
    return t;
  }
};

template< template< typename, typename > typename _Info,
    template< typename > typename _LInfo, typename Lazy >
struct SuperLinkCutTree {
  using LInfo = _LInfo< Lazy >;
  using Info = _Info< LInfo, Lazy >;

private:
  struct Node {
    Node *l, *r, *p;
    Info info;
    typename SplayTree< LInfo, Lazy >::Node *light, *belong;
    bool rev;
    Lazy hlazy, llazy;

    bool is_root() const {
      return not p or (p->l != this and p->r != this);
    }

    explicit Node(const Info &info)
        : info(info), l(nullptr), r(nullptr), p(nullptr), rev(false),
          light(nullptr), belong(nullptr), hlazy(Lazy()), llazy(Lazy()) {}
  };

public:
  using NP = Node *;
  SplayTree< LInfo, Lazy > splay_tree;

private:
  const Info e;

private:
  void toggle(NP t) {
    swap(t->l, t->r);
    t->info.toggle();
    t->rev ^= true;
  }

  void rotr(NP t) {
    NP x = t->p, y = x->p;
    push(x), push(t);
    if((x->l = t->r)) t->r->p = x;
    t->r = x, x->p = t;
    update(x), update(t);
    if((t->p = y)) {
      if(y->l == x) y->l = t;
      if(y->r == x) y->r = t;
    }
  }

  void rotl(NP t) {
    NP x = t->p, y = x->p;
    push(x), push(t);
    if((x->r = t->l)) t->l->p = x;
    t->l = x, x->p = t;
    update(x), update(t);
    if((t->p = y)) {
      if(y->l == x) y->l = t;
      if(y->r == x) y->r = t;
    }
  }

  void propagate_heavy(NP t, const Lazy &hlazy) {
    t->hlazy.propagate(hlazy);
    t->info.propagate(hlazy);
  }

  void propagate_light(NP t, const Lazy &llazy) {
    t->llazy.propagate(llazy);
    t->info.propagate_light(llazy);
  }

  void propagate_all(NP t, const Lazy &lazy) {
    propagate_heavy(t, lazy);
    propagate_light(t, lazy);
  }

public:
  SuperLinkCutTree() : e{Info()}, splay_tree{} {}

  void push(NP t) {
    if(t->rev) {
      if(t->l) toggle(t->l);
      if(t->r) toggle(t->r);
      t->rev = false;
    }
    {
      if(t->l) {
        propagate_heavy(t->l, t->hlazy);
        propagate_light(t->l, t->llazy);
      }
      if(t->r) {
        propagate_heavy(t->r, t->hlazy);
        propagate_light(t->r, t->llazy);
      }
      if(t->light) {
        splay_tree.propagate(t->light, t->llazy);
      }
      t->hlazy = Lazy();
      t->llazy = Lazy();
    }
  }

  void push_rev(NP t) {
    if(t->rev) {
      if(t->l) toggle(t->l);
      if(t->r) toggle(t->r);
      t->rev = false;
    }
  }

  const Info &get_info(NP t) {
    return t ? t->info : e;
  }

  void update(NP t) {
    t->info.update(get_info(t->l), get_info(t->r), splay_tree.get_info(t->light));
  }

  void splay(NP t) {
    push(t);
    {
      NP rot = t;
      while(not rot->is_root()) rot = rot->p;
      t->belong = rot->belong;
      if(t != rot) rot->belong = nullptr;
    }
    while(not t->is_root()) {
      NP q = t->p;
      if(q->is_root()) {
        push_rev(q), push_rev(t);
        if(q->l == t) rotr(t);
        else rotl(t);
      } else {
        NP r = q->p;
        push_rev(r), push_rev(q), push_rev(t);
        if(r->l == q) {
          if(q->l == t) rotr(q), rotr(t);
          else rotl(t), rotr(t);
        } else {
          if(q->r == t) rotl(q), rotl(t);
          else rotr(t), rotl(t);
        }
      }
    }
  }

  NP expose(NP t) {
    NP rp = nullptr;
    for(NP cur = t; cur; cur = cur->p) {
      splay(cur);
      if(cur->r) {
        cur->light = splay_tree.insert(cur->light, cur->r->info.link());
        cur->r->belong = cur->light;
      }
      cur->r = rp;
      if(cur->r) {
        splay_tree.splay(cur->r->belong);
        propagate_all(cur->r, cur->r->belong->lbuf);
        push(cur->r);
        cur->light = splay_tree.erase(cur->r->belong);
      }
      update(cur);
      rp = cur;
    }
    splay(t);
    return rp;
  }

  void link(NP child, NP parent) {
    expose(parent);
    expose(child);
    child->p = parent;
    parent->r = child;
    update(parent);
  }

  void cut(NP child) {
    expose(child);
    NP parent = child->l;
    child->l = nullptr;
    parent->p = nullptr;
    update(child);
  }

  void evert(NP t) {
    expose(t);
    toggle(t);
    push(t);
  }

  NP alloc(const Info &info) {
    NP t = new Node(info);
    update(t);
    return t;
  }

  bool is_connected(NP u, NP v) {
    expose(u), expose(v);
    return u == v or u->p;
  }

  vector< NP > build(vector< Info > &vs) {
    vector< NP > nodes(vs.size());
    for(int i = 0; i < (int) vs.size(); i++) {
      nodes[i] = alloc(vs[i]);
    }
    return nodes;
  }

  NP lca(NP u, NP v) {
    if(not is_connected(u, v)) return nullptr;
    expose(u);
    return expose(v);
  }

  void set_key(NP t, const Info &v) {
    expose(t);
    t->info = move(v);
    update(t);
  }

  void set_propagate_path(NP t, const Lazy &lazy) {
    expose(t);
    propagate_heavy(t, lazy);
    push(t);
    update(t);
  }

  void set_propagate_path(NP u, NP v, const Lazy &lazy) {
    evert(u);
    set_propagate_path(v, lazy);
  }

  void set_propagate_all(NP t, const Lazy &lazy) {
    expose(t);
    propagate_all(t, lazy);
    push(t);
    update(t);
  }

  void set_propagate_subtree(NP t, const Lazy &lazy) {
    expose(t);
    NP l = t->l;
    t->l = nullptr;
    propagate_all(t, lazy);
    push(t);
    t->l = l;
    update(t);
  }

  const Info &query(NP u) {
    expose(u);
    return get_info(u);
  }

  const Info &query_path(NP u, NP v) {
    evert(u);
    expose(v);
    return get_info(v);
  }

  Info query_subtree(NP u) {
    expose(u);
    NP l = u->l;
    u->l = nullptr;
    update(u);
    auto ret = u->info;
    u->l = l;
    update(u);
    return ret;
  }
};

/*
using T = int64_t;
// 遅延伝搬をするための作用素
struct Lazy {

  // 単位元
  Lazy() {}

  // 初期化
  Lazy(T v) {}

  // 遅延伝搬
  void propagate(const Lazy &p) {}
};

// Light-edge の情報
template< typename Lazy >
struct LInfo {

  // 単位元(キーの値はアクセスしないので未初期化でもよい
  LInfo() {}

  // 初期化
  LInfo(T v) {}

  // l, r は Splay-tree の子 (原理上、各ノード区別はない)
  void update(const LInfo &l, const LInfo &r) {}

  // 部分木への遅延伝搬
  void propagate(const Lazy &p) {}
};

// Heavy-edge の情報
template< typename LInfo, typename Lazy >
struct Info {

  // 単位元(キーの値はアクセスしないので未初期化でもよい
  Info() {}

  // 初期化
  Info(T v) {}

  // 反転
  void toggle() {}

  // pが親, cがheavy-edgeで結ばれた子, lがそれ以外の子
  void update(const Info &p, const Info &c, const LInfo &l) {}

  // 親と light-edge で繋げる
  LInfo link() const { return LInfo(); }

  // 遅延伝搬
  void propagate(const Lazy &p) {}

  // light-edgeに対する遅延伝搬
  // pathとsubtreeの遅延伝搬が両方ある場合に実装する
  void propagate_light(const Lazy &p) {}
};

using LCT = SuperLinkCutTree< Info, LInfo, Lazy >;
*/
#line 2 "structure/develop/diameter.hpp"

/**
 * @brief Diameter
 */
using T = int64_t;

// 遅延伝搬をするための作用素
struct Lazy {

  // 単位元
  Lazy() {}

  // 初期化
  Lazy(T v) {}

  // 遅延伝搬
  void propagate(const Lazy &p) {}
};

// Light-edge の情報
template< typename Lazy >
struct LInfo {
  T dia, dep;

  T dia_max, dep_max, dep_max2;

  // 単位元(キーの値はアクセスしないので未初期化でもよい
  LInfo() : dia_max(-infll), dep_max(-infll), dep_max2(-infll) {}

  // 初期化
  LInfo(T dia, T dep) : dia(dia), dep(dep) {}

  // l, r は Splay-tree の子 (原理上、各ノード区別はない)
  void update(const LInfo &l, const LInfo &r) {
    dia_max = max({l.dia_max, r.dia_max, dia});
    if(dep < l.dep_max) {
      dep_max2 = max(l.dep_max2, dep);
      dep_max = l.dep_max;
    } else {
      dep_max2 = l.dep_max;
      dep_max = dep;
    }
    if(dep_max < r.dep_max) {
      dep_max2 = max(dep_max, r.dep_max2);
      dep_max = r.dep_max;
    } else {
      dep_max2 = max(dep_max2, r.dep_max);
    }
  }

  // 部分木への遅延伝搬
  void propagate(const Lazy &p) {}
};

// Heavy-edge の情報
template< typename LInfo, typename Lazy >
struct Info {
  T cost;

  T dia_max, p_len, c_len, all;

  // 単位元(キーの値はアクセスしないので未初期化でもよい
  Info() : dia_max(0), p_len(0), c_len(0), all(0) {}

  // 初期化
  Info(T v) : cost(v) {}

  // 反転
  void toggle() {
    swap(p_len, c_len);
  }

  // pが親, cがheavy-edgeで結ばれた子, lがそれ以外の子
  void update(const Info &p, const Info &c, const LInfo &l) {
    all = p.all + cost + c.all;
    p_len = max({p.p_len, p.all + cost + max(l.dep_max, c.p_len)});
    c_len = max({c.c_len, c.all + cost + max(l.dep_max, p.c_len)});
    dia_max = max({p.dia_max, c.dia_max, l.dia_max,
                   l.dep_max + cost + l.dep_max2,
                   p.c_len + cost + max(l.dep_max, c.p_len),
                   l.dep_max + cost + c.p_len});
  }

  // 親と light-edge で繋げる
  LInfo link() const { return LInfo(dia_max, p_len); }

  // 遅延伝搬
  void propagate(const Lazy &p) {}

  // light-edgeに対する遅延伝搬
  // pathとsubtreeの遅延伝搬が両方ある場合に実装する
  void propagate_light(const Lazy &p) {}
};

using LCT = SuperLinkCutTree< Info, LInfo, Lazy >;
#line 5 "test/verify/aoj-grl-5-a-2.test.cpp"

int main() {
  int N;
  cin >> N;
  LCT lct;
  vector< vector< pair< int, int > > > g(N);
  for(int i = 1; i < N; i++) {
    int x, y, z;
    cin >> x >> y >> z;
    g[x].emplace_back(y, z);
    g[y].emplace_back(x, z);
  }
  vector< LCT::NP > vs(N), es(N);
  auto rec = MFP([&](auto rec, int idx, int par) -> void {
    vs[idx] = lct.alloc(0);
    for(auto &e: g[idx]) {
      if(e.first == par) continue;
      rec(e.first, idx);
      es[e.first] = lct.alloc(e.second);
      lct.link(vs[e.first], es[e.first]);
      lct.link(es[e.first], vs[idx]);
    }
  });
  rec(0, -1);
  cout << lct.query(vs[0]).dia_max << "\n";
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_sample_00.in	AC	6 ms	4 MB
g++	00_sample_01.in	AC	6 ms	4 MB
g++	01_small_00.in	AC	6 ms	4 MB
g++	01_small_01.in	AC	6 ms	4 MB
g++	01_small_02.in	AC	6 ms	4 MB
g++	01_small_03.in	AC	6 ms	4 MB
g++	02_medium_00.in	AC	6 ms	4 MB
g++	02_medium_01.in	AC	6 ms	4 MB
g++	02_medium_02.in	AC	6 ms	4 MB
g++	02_medium_03.in	AC	6 ms	4 MB
g++	03_corner_00.in	AC	6 ms	4 MB
g++	03_corner_01.in	AC	6 ms	4 MB
g++	04_binary_00.in	AC	6 ms	4 MB
g++	04_binary_01.in	AC	6 ms	4 MB
g++	04_binary_02.in	AC	6 ms	4 MB
g++	04_binary_03.in	AC	6 ms	4 MB
g++	05_linear_00.in	AC	6 ms	4 MB
g++	05_linear_01.in	AC	6 ms	4 MB
g++	05_linear_02.in	AC	7 ms	5 MB
g++	05_linear_03.in	AC	9 ms	6 MB
g++	06_rand_00.in	AC	6 ms	4 MB
g++	06_rand_01.in	AC	7 ms	4 MB
g++	06_rand_02.in	AC	9 ms	6 MB
g++	06_rand_03.in	AC	11 ms	8 MB
g++	07_large_00.in	AC	16 ms	12 MB
g++	07_large_01.in	AC	22 ms	16 MB
g++	07_large_02.in	AC	22 ms	16 MB
g++	07_large_03.in	AC	22 ms	17 MB
g++	08_maximum_00.in	AC	54 ms	40 MB
g++	08_maximum_01.in	AC	56 ms	41 MB
g++	08_maximum_02.in	AC	61 ms	46 MB
g++	08_maximum_03.in	AC	69 ms	57 MB
clang++	00_sample_00.in	AC	6 ms	4 MB
clang++	00_sample_01.in	AC	6 ms	4 MB
clang++	01_small_00.in	AC	6 ms	4 MB
clang++	01_small_01.in	AC	6 ms	4 MB
clang++	01_small_02.in	AC	6 ms	4 MB
clang++	01_small_03.in	AC	6 ms	4 MB
clang++	02_medium_00.in	AC	6 ms	4 MB
clang++	02_medium_01.in	AC	6 ms	4 MB
clang++	02_medium_02.in	AC	6 ms	4 MB
clang++	02_medium_03.in	AC	6 ms	4 MB
clang++	03_corner_00.in	AC	6 ms	4 MB
clang++	03_corner_01.in	AC	6 ms	4 MB
clang++	04_binary_00.in	AC	6 ms	4 MB
clang++	04_binary_01.in	AC	6 ms	4 MB
clang++	04_binary_02.in	AC	6 ms	4 MB
clang++	04_binary_03.in	AC	6 ms	4 MB
clang++	05_linear_00.in	AC	6 ms	4 MB
clang++	05_linear_01.in	AC	7 ms	4 MB
clang++	05_linear_02.in	AC	7 ms	5 MB
clang++	05_linear_03.in	AC	8 ms	6 MB
clang++	06_rand_00.in	AC	6 ms	4 MB
clang++	06_rand_01.in	AC	6 ms	4 MB
clang++	06_rand_02.in	AC	8 ms	6 MB
clang++	06_rand_03.in	AC	11 ms	8 MB
clang++	07_large_00.in	AC	16 ms	12 MB
clang++	07_large_01.in	AC	21 ms	16 MB
clang++	07_large_02.in	AC	22 ms	16 MB
clang++	07_large_03.in	AC	20 ms	16 MB
clang++	08_maximum_00.in	AC	50 ms	40 MB
clang++	08_maximum_01.in	AC	52 ms	41 MB
clang++	08_maximum_02.in	AC	58 ms	46 MB
clang++	08_maximum_03.in	AC	63 ms	54 MB

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