#620961 (C++17) No.1002 Twotone

• 問題: No.1002 Twotone
• ユーザー: tonegawa
• 提出日時: 2021-02-21 18:09:58
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 4,965 ms / 5,000 ms
• コード長: 14,351 bytes
• コンパイル時間: 2,084 ms
• コンパイル使用メモリ: 158,416 KB
• 最終ジャッジ日時: 2025-01-19 03:08:57
• ジャッジサーバーID （参考情報）: judge2 / judge4

ファイルパターン	結果
sample	AC * 2
other	AC * 33

コンパイルメッセージ

In file included from /usr/include/c++/13/bits/memory_resource.h:47,
                 from /usr/include/c++/13/string:58,
                 from /usr/include/c++/13/bits/locale_classes.h:40,
                 from /usr/include/c++/13/bits/ios_base.h:41,
                 from /usr/include/c++/13/ios:44,
                 from /usr/include/c++/13/ostream:40,
                 from /usr/include/c++/13/iostream:41,
                 from main.cpp:1:
In constructor ‘constexpr std::_Head_base<_Idx, _Head, false>::_Head_base(_UHead&&) [with _UHead = int&; long unsigned int _Idx = 1; _Head = int]’,
    inlined from ‘constexpr std::_Tuple_impl<_Idx, _Head, _Tail ...>::_Tuple_impl(_UHead&&, _UTail&& ...) [with _UHead = int&; _UTail = {std::vector<int, std::allocator<int> >&, std::vector<int, std::allocator<int> >&}; <template-parameter-2-3> = void; long unsigned int _Idx = 1; _Head = int; _Tail = {std::vector<int, std::allocator<int> >, std::vector<int, std::allocator<int> >}]’ at /usr/include/c++/13/tuple:293:38,
    inlined from ‘constexpr std::_Tuple_impl<_Idx, _Head, _Tail ...>::_Tuple_impl(_UHead&&, _UTail&& ...) [with _UHead = std::vector<std::vector<int> >&; _UTail = {int&, std::vector<int, std::allocator<int> >&, std::vector<int, std::allocator<int> >&}; <template-parameter-2-3> = void; long unsigned int _Idx = 0; _Head = std::vector<std::vector<int> >; _Tail = {int, std::vector<int, std::allocator<int> >, std::vector<int, std::allocator<int> >}]’ at /usr/include/c++/13/tuple:293:38,
    inlined from ‘constexpr std::tuple< <template-parameter-1-1> >::tuple(_UElements&& ...) [with _UElements = {std::vector<std::vector<int, std::allocator<int> >, std::allocator<std::vector<int, std::allocator<int> > > >&, int&, std::vector<int, std::allocator<int> >&, std::vector<int, std::allocator<int> >&}; bool _Valid = true; typename std::enable_if<_TCC<_Valid>::__is_implicitly_constructible<_UElements ...>(), bool>::type <anonymous> = true; _Elements = {std::vector<std::ve

ソースコード

#include <iostream>
#include <string>
#include <vector>
#include <array>
#include <tuple>
#include <stack>
#include <queue>
#include <deque>
#include <algorithm>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <bitset>
#include <cmath>
#include <functional>
#include <cassert>
#include <iomanip>
#include <numeric>
#include <memory>
#include <random>
#define all(obj) (obj).begin(), (obj).end()
#define range(i, l, r) for(int i=l;i<r;i++)
#define bit_subset(i, S) for(int i=S, cnt=0;(cnt+=i==S)<2;i=(i-1)&S)
#define bit_kpop(i, n, k) for(int i=(1<<k)-1,x,y;i<(1<<n);x=(i&-i),y=i+x,i=(!i?(1<<n):((i&~y)/x>>1)|y))
#define bit_kth(i, k) ((i >> k)&1)
#define bit_highest(i) (i?63-__builtin_clzll(i):-1)
#define bit_lowest(i) (i?__builtin_ctzll(i):-1)
using ll = long long;
using ld = long double;
using ul = uint64_t;
using namespace std;

template<typename F, typename S>
std::ostream &operator<<(std::ostream &dest, const std::pair<F, S> &p){
  dest << p.first << ' ' << p.second;
  return dest;
}
template<typename T>
std::ostream &operator<<(std::ostream &dest, const std::vector<std::vector<T>> &v){
  int sz = v.size();
  if(sz==0) return dest;
  for(int i=0;i<sz;i++){
    int m = v[i].size();
    for(int j=0;j<m;j++) dest << v[i][j] << (i!=sz-1&&j==m-1?'\n':' ');
  }
  return dest;
}
template<typename T>
std::ostream &operator<<(std::ostream &dest, const std::vector<T> &v){
  int sz = v.size();
  if(sz==0) return dest;
  for(int i=0;i<sz-1;i++) dest << v[i] << ' ';
  dest << v[sz-1];
  return dest;
}
template<typename T, size_t sz>
std::ostream &operator<<(std::ostream &dest, const std::array<T, sz> &v){
  if(sz==0) return dest;
  for(int i=0;i<sz-1;i++) dest << v[i] << ' ';
  dest << v[sz-1];
  return dest;
}
template<typename T>
std::ostream &operator<<(std::ostream &dest, const std::set<T> &v){
  for(auto itr=v.begin();itr!=v.end();){
    dest << *itr;
    itr++;
    if(itr!=v.end()) dest << ' ';
  }
  return dest;
}
template<typename T, typename E>
std::ostream &operator<<(std::ostream &dest, const std::map<T, E> &v){
  for(auto itr=v.begin();itr!=v.end();){
    dest << '(' << itr->first << ", " << itr->second << ')';
    itr++;
    if(itr!=v.end()) dest << '\n';
  }
  return dest;
}
template<typename T>
vector<T> make_vec(size_t sz, T val){return std::vector<T>(sz, val);}
template<typename T, typename... Tail>
auto make_vec(size_t sz, Tail ...tail){
  return std::vector<decltype(make_vec<T>(tail...))>(sz, make_vec<T>(tail...));
}
template<typename T>
vector<T> read_vec(size_t sz){
  std::vector<T> v(sz);
  for(int i=0;i<sz;i++) std::cin >> v[i];
  return v;
}
template<typename T, typename... Tail>
auto read_vec(size_t sz, Tail ...tail){
  auto v = std::vector<decltype(read_vec<T>(tail...))>(sz);
  for(int i=0;i<sz;i++) v[i] = read_vec<T>(tail...);
  return v;
}
template<typename T>
bool mul_overflow(T a, T b){
  static T INF = numeric_limits<T>::max();
  return (INF / a) < b;
}
template<typename T>
bool add_overflow(T a, T b){
  static T INF = numeric_limits<T>::max();
  return (INF - a) < b;
}
template<typename T>
bool chmax(T &a, const T b){
  if(a >= b) return false;
  a = b;
  return true;
}
template<typename T>
bool chmin(T &a, const T b){
  if(a <= b) return false;
  a = b;
  return true;
}
template<typename T>
T max(vector<T> &v, int l=0, int r = -1){
  return *std::max_element(v.begin()+l, v.begin()+(r==-1?v.size():r));
}
template<typename T>
T min(vector<T> &v, int l=0, int r = -1){
  return *std::min_element(v.begin()+l, v.begin()+(r==-1?v.size():r));
}
template<typename T>
int argmax(vector<T> &v, int l=0, int r=-1){
  T res = max(v, l, r);
  if(r==-1) r = v.size();
  for(int i=l;i<r;i++) if(v[i]==res) return i;
  return -1;
}
template<typename T>
int argmin(vector<T> &v, int l=0, int r=-1){
  T res = min(v, l, r);
  if(r==-1) r = v.size();
  for(int i=l;i<r;i++) if(v[i]==res) return i;
  return -1;
}
ll gcd(ll _a, ll _b) {
  uint64_t a = abs(_a), b = abs(_b);
  if(a == 0) return b;
  if(b == 0) return a;
  int shift = __builtin_ctzll(a | b);
  a >>= __builtin_ctzll(a);
  do{
    b >>= __builtin_ctzll(b);
    if(a > b) std::swap(a, b);
    b -= a;
  }while(b);
  return (a << shift);
}
ll lcm(ll a, ll b){
  return (a / gcd(a, b)) * b;
}
ll llpow(ll a, ll b){
  ll ret = 1, mul = a;
  while(b){
    if(b&1) ret *= mul;
    mul *= mul;
    b >>= 1;
  }
  return ret;
}
template<int MOD>
ll mpow(ll a, ll b){
  int ret = (MOD==1?0:1), mul = a % MOD;
  while(b){
    if(b&1) ret = (ll(ret) * mul) % MOD;
    mul = (ll(mul) * mul) % MOD;
    b >>= 1;
  }
  return ret;
}
ll mpow(ll a, ll b, ll MOD){
  int ret = (MOD==1?0:1), mul = a % MOD;
  while(b){
    if(b&1) ret = (ll(ret) * mul) % MOD;
    mul = (ll(mul) * mul) % MOD;
    b >>= 1;
  }
  return ret;
}
int centroid_search(int now, int from, const vector<vector<int>> &G, const vector<bool> &is_centroid, vector<int> &size, int th, vector<int> &parent){
  int c = -1;
  parent[now] = from;
  size[now] = 1;
  for(int to:G[now]){
    if(to==from||is_centroid[to]) continue;
    int tmp_c = centroid_search(to, now, G, is_centroid, size, th, parent);
    size[now] += size[to];
    if(tmp_c!=-1) c = tmp_c;
  }
  if(c==-1&&size[now]>th) return now;
  return c;
}
tuple<vector<vector<int>>, int, vector<int>, vector<int>> centroid_decomposition(const vector<vector<int>> &G){
  int n = G.size(), root;
  vector<bool> is_centroid(n, false);
  vector<int> size(n), parent(n), depth(n), inner_parent(n);
  vector<vector<int>> g(n);
  queue<tuple<int, int, int>> q;
  q.push({0, -1, n});
  while(!q.empty()){
    auto [now, par, subtree_size] = q.front();
    q.pop();
    if(is_centroid[now]) continue;
    int c = centroid_search(now, -1, G, is_centroid, size, subtree_size/2, inner_parent);
    parent[c] = par;
    depth[c] = (par==-1?0:depth[par] + 1);
    if(par==-1) root = c;
    else g[par].push_back(c);
    is_centroid[c] = true;
    for(int to:G[c]){
      if(is_centroid[to]) continue;
      while(inner_parent[to]!=-1&&inner_parent[to]!=c) to = inner_parent[to];
      q.push({to, c, size[to]>size[c]?size[to]-size[c]:size[to]});
    }
  }
  return {g, root, parent, depth};
}

template<typename K, typename T>
struct rbtree_map{
private:
  struct node{
    K key;
    int red, sz;
    T val;
    node *par, *ch[2];
    node(): red(0), sz(0){}
    node(K key, T val):key(key), red(1), sz(1), val(val){
      par = ch[0] = ch[1] = nullptr;
    }
  };
  inline void eval(node *v){
    if(v==nil) return;
    v->sz = 1 + v->ch[0]->sz + v->ch[1]->sz;
  }
  void rec_eval(node *v){
    if(v==nil) v = v->par;
    while(v!=nil){
      eval(v);
      v = v->par;
    }
  }
  void rotate(node *x, int d){
    int e = d^1;
    node *y = x->ch[e];
    x->ch[e] = y->ch[d];
    eval(x);
    if(y->ch[d]!=nil) y->ch[d]->par = x;
    y->par = x->par;
    if(x->par==nil) root = y;
    else if(x==x->par->ch[d]) x->par->ch[d] = y, eval(x->par);
    else x->par->ch[e] = y, eval(x->par);
    y->ch[d] = x;
    eval(y);
    x->par = y;
  }
  node *minimum(node* x){
    while(x->ch[0]!=nil) x = x->ch[0];
    return x;
  }
  void transplant(node *u, node *v){
    if(u->par==nil) root = v;
    else if(u==u->par->ch[0]) u->par->ch[0] = v;
    else u->par->ch[1] = v;
    v->par = u->par;
  }
  void insert_update(node *z){
    node *y;
    while(z->par->red){
      int d = (z->par==z->par->par->ch[0]?0:1), e = d^1;
      y = z->par->par->ch[e];
      if(y->red){
        z->par->red = 0;
        y->red = 0;
        z->par->par->red = 1;
        z = z->par->par;
      }else if(z==z->par->ch[e]){
        z = z->par;
        rotate(z,d);
      }else{
        z->par->red = 0;
        z->par->par->red = 1;
        rotate(z->par->par,e);
      }
    }
    root->red = 0;
  }
  node *build(int l, int r, int d, node *parent, const vector<pair<K, T>> &v){
    int mid = (r+l)/2;
    node *now = new node(v[mid].first, v[mid].second);
    now->red = d;
    now->par = parent;
    if(mid>l) now->ch[0] = build(l, mid, d^1, now, v);
    else now->ch[0] = nil;
    if(r>mid+1) now->ch[1] = build(mid+1, r, d^1, now, v);
    else now->ch[1] = nil;
    eval(now);
    return now;
  }

public:
  node *root, *nil;
  rbtree_map(){
    nil = new node();
    root = nil->par = nil->ch[0] = nil->ch[1] = nil;
  }
  rbtree_map(vector<pair<K, T>> v){
    nil = new node();
    sort(v.begin(), v.end());
    root = build(0, v.size(), 0, nil, v);
  }
  void print(){
    print(root, 0, 0);
  }
  int size(){
    return root->sz;
  }
  node *find(K key){
    node *x = root;
    while(x != nil){
      if(key != x->key) x = x->ch[key > x->key];
      else return x;
    }
    return x;
  }
  node *insert(K key, T val){
    node *x = root, *y = nil;
    while(x!=nil){
      y = x;
      if(key != x->key) x = x->ch[key > x->key];
      else return x;
    }
    node *z = new node(key, val);
    z->par = y;
    if(y==nil) root = z;
    else y->ch[z->key >= y->key] = z, eval(y);
    z->ch[0] = z->ch[1] = nil;
    insert_update(z);
    nil->par = nil->ch[0] = nil->ch[1] = nil;
    rec_eval(z);
    return z;
  }
  void erase(node *z){
    if(z==nil) return;
    node *y = z, *x;
    int prevy = y->red;
    if(z->ch[0]==nil){
      x = z->ch[1];
      transplant(z, z->ch[1]);
      rec_eval(x);
    }else if(z->ch[1]==nil){
      x = z->ch[0];
      transplant(z, z->ch[0]);
      rec_eval(x);
    }else{
      y = minimum(z->ch[1]);
      prevy = y->red;
      x = y->ch[1];
      if(y->par==z){
        x->par = y;
        transplant(z, y);
        y->ch[0] = z->ch[0];
        y->ch[0]->par = y;
        y->red = z->red;
        rec_eval(y);
      }else{
        transplant(y, y->ch[1]);
        node *tmp = y->par;
        y->ch[1] = z->ch[1];
        y->ch[1]->par = y;
        transplant(z, y);
        y->ch[0] = z->ch[0];
        y->ch[0]->par = y;
        y->red = z->red;
        rec_eval(tmp);
      }
    }
    if(!prevy) x->red = 0;
    delete z;
    nil->par = nil->ch[0] = nil->ch[1] = nil;
  }
  void erase(K key){
    erase(find(key));
  }
  node *lower_bound(K key){
    node *x = root, *y;
    while(x != nil){
      if(x->key>=key) y = x;
      if(key != x->key) x = x->ch[key > x->key];
      else return x;
    }
    return y;
  }
  node *upper_bound(K key){
    node *x = root, *y;
    while(x != nil){
      if(x->key>key) y = x;
      x = x->ch[key >= x->key];
    }
    return y;
  }
  node *reverse_lower_bound(K key){
    node *x = root, *y;
    while(x != nil){
      if(x->key<=key) y = x;
      if(key != x->key) x = x->ch[key > x->key];
      else return x;
    }
    return y;
  }
  node *reverse_upper_bound(K key){
    node *x = root, *y;
    while(x != nil){
      if(x->key<key) y = x;
      x = x->ch[key > x->key];
    }
    return y;
  }
  int under_count(K key){
    node *x = root;
    int ret = 0;
    while(x != nil){
      if(x->key<=key) ret += (x->key!=key) + x->ch[0]->sz;
      if(key != x->key) x = x->ch[key > x->key];
      else return ret;
    }
    return ret;
  }
  node *kth_element(int k){
    if(root->sz<=k) return nil;
    node *x = root;
    while(x!=nil){
      int lsz = x->ch[0]->sz;
      if(k==lsz) return x;
      if(lsz<k) k -= lsz + 1, x = x->ch[1];
      else x = x->ch[0];
    }
    return nil;
  }
};

int main(){
  auto set_map = [](rbtree_map<ll, int> &mp, int a, int b, int c)->void{
    auto node = mp.find(ll(a)*1000000000+b);
    if(node==mp.nil) mp.insert(ll(a)*1000000000+b, c);
  };
  auto add_map = [](rbtree_map<ll, int> &mp, int a, int b, int c)->void{
    auto node = mp.find(ll(a)*1000000000+b);
    if(node==mp.nil) mp.insert(ll(a)*1000000000+b, c);
    else node->val += c;
  };
  auto get_map = [](rbtree_map<ll, int> &mp, int a, int b)->int{
    auto node = mp.find(ll(a)*1000000000 + b);
    if(node==mp.nil) return 0;
    return node->val;
  };
  //cin.tie(nullptr);
  //ios::sync_with_stdio(false);
  //各重心ノードcでv-cパスに含まれる色を持っておく
  //cでマージする時、同じ2色, 1色とその色を含む2色, 同じ1色をマージ
  int n, m;std::cin >> n >> m;
  vector<vector<int>> G(n);
  rbtree_map<ll, int> color;
  range(i, 0, n-1){
    int a, b, c;std::cin >> a >> b >> c;
    a--, b--;
    G[a].push_back(b);
    G[b].push_back(a);
    set_map(color, a, b, c);
    set_map(color, b, a, c);
  }
  auto [g, root, parent, depth] = centroid_decomposition(G);
  //cから初めて色が2色以下の間探す
  ll ans = 0;
  ll add = 0;
  for(int i=0;i<n;i++){
    rbtree_map<ll, int> ALL;
    ll O = 0;
    vector<rbtree_map<ll, int>> subtree;
    vector<int> Ocount;
    for(int ch:G[i]){
      if(depth[ch]<=depth[i]) continue;
      subtree.push_back(rbtree_map<ll, int>());
      Ocount.push_back(0);
      int idx = subtree.size() - 1;
      queue<tuple<int, int, int, int>> q;
      q.push(tuple<int, int, int, int>{ch, i, get_map(color, i, ch), 0});
      while(!q.empty()){
        auto [now, from, c1, c2] = q.front();
        q.pop();
        if(c2==0) O++, Ocount[idx]++;
        add_map(ALL, c1, c2, 1);
        add_map(ALL, c2, c1, 1);
        add_map(subtree[idx], c1, c2, 1);
        add_map(subtree[idx], c2, c1, 1);
        for(auto nxt:G[now]){
          if(nxt==from||depth[nxt]<=depth[i]) continue;
          int ecolor = get_map(color, now, nxt);
          if(c1==ecolor) q.push({nxt, now, c1, c2});
          else if(c2==0||c2==ecolor) q.push({nxt, now, c1, ecolor});
        }
      }
    }
    for(int j=0;j<subtree.size();j++){
      for(int t=0;t<subtree[j].size();t++){
        auto itr = subtree[j].kth_element(t);
        int c1 = itr->key / 1000000000;
        int c2 = itr->key % 1000000000;
        if(c1==0||c1<c2) continue;
        int count = itr->val;
        if(c2==0){
          int except_c1_all = O - get_map(ALL, c1, c2);
          int except_c1_j = Ocount[j] - get_map(subtree[j], c1, c2);
          ans += ll(except_c1_all - except_c1_j) * count;
        }else{
          ans += count * 2;//2-0
          ans += ll(get_map(ALL, c1, c2) - count) * count;
          int c1_all = get_map(ALL, c1, 0);
          int c1_j = get_map(subtree[j], c1, 0);
          int c2_all = get_map(ALL, c2, 0);
          int c2_j = get_map(subtree[j], c2, 0);
          add += ll(c1_all - c1_j) * count;
          add += ll(c2_all - c2_j) * count;
        }
      }
    }
  }
  //std::cout << add << '\n';
  std::cout << (ans / 2) + add << '\n';
}