#1101680 (C++17) No.3194 Do Optimize Your Solution

提出ソース
結果

問題	No.3194 Do Optimize Your Solution
コンテスト
ユーザー	NyaanNyaan
提出日時	2025-06-27 23:01:23
言語	C++17 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	2,628 ms / 3,000 ms
コード長	24,538 bytes
コンパイル時間	3,985 ms
コンパイル使用メモリ	289,808 KB
実行使用メモリ	106,284 KB
最終ジャッジ日時	2025-06-27 23:02:03
合計ジャッジ時間	26,712 ms
ジャッジサーバーID （参考情報）	judge2 / judge4
このコードへのチャレンジ
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ファイルパターン	結果
sample	AC * 2
other	AC * 17
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ソースコード

raw source code
/**
 * date   : 2025-06-27 23:01:16
 * author : Nyaan
 */

#define NDEBUG

using namespace std;

// intrinstic
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tr2/dynamic_bitset>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

// utility

namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  constexpr P(Args... args) : pair<T, U>(args...) {}

  using pair<T, U>::first;
  using pair<T, U>::second;

  P &operator+=(const P &r) {
    first += r.first;
    second += r.second;
    return *this;
  }
  P &operator-=(const P &r) {
    first -= r.first;
    second -= r.second;
    return *this;
  }
  P &operator*=(const P &r) {
    first *= r.first;
    second *= r.second;
    return *this;
  }
  template <typename S>
  P &operator*=(const S &r) {
    first *= r, second *= r;
    return *this;
  }
  P operator+(const P &r) const { return P(*this) += r; }
  P operator-(const P &r) const { return P(*this) -= r; }
  P operator*(const P &r) const { return P(*this) *= r; }
  template <typename S>
  P operator*(const S &r) const {
    return P(*this) *= r;
  }
  P operator-() const { return P{-first, -second}; }
};

using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;

constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;

template <typename T>
int sz(const T &t) {
  return t.size();
}

template <typename T, typename U>
inline bool amin(T &x, U y) {
  return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
  return (x < y) ? (x = y, true) : false;
}

template <typename T>
inline T Max(const vector<T> &v) {
  return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
  return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
  return accumulate(begin(v), end(v), 0LL);
}

template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
  return upper_bound(begin(v), end(v), a) - begin(v);
}

constexpr long long TEN(int n) {
  long long ret = 1, x = 10;
  for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
  return ret;
}

template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
  return make_pair(t, u);
}

template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
  vector<T> ret(v.size() + 1);
  if (rev) {
    for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
  } else {
    for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
  }
  return ret;
};

template <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

template <typename F>
vector<int> mkord(int N, F f) {
  vector<int> ord(N);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}

template <typename T>
vector<int> mkinv(vector<T> &v) {
  int max_val = *max_element(begin(v), end(v));
  vector<int> inv(max_val + 1, -1);
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}

vector<int> mkiota(int n) {
  vector<int> ret(n);
  iota(begin(ret), end(ret), 0);
  return ret;
}

template <typename T>
T mkrev(const T &v) {
  T w{v};
  reverse(begin(w), end(w));
  return w;
}

template <typename T>
bool nxp(T &v) {
  return next_permutation(begin(v), end(v));
}

// 返り値の型は入力の T に依存
// i 要素目 : [0, a[i])
template <typename T>
vector<vector<T>> product(const vector<T> &a) {
  vector<vector<T>> ret;
  vector<T> v;
  auto dfs = [&](auto rc, int i) -> void {
    if (i == (int)a.size()) {
      ret.push_back(v);
      return;
    }
    for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back();
  };
  dfs(dfs, 0);
  return ret;
}

// F : function(void(T&)), mod を取る操作
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I, const function<void(T &)> &f) {
  T res = I;
  for (; n; f(a = a * a), n >>= 1) {
    if (n & 1) f(res = res * a);
  }
  return res;
}
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I = T{1}) {
  return Power(a, n, I, function<void(T &)>{[](T &) -> void {}});
}

template <typename T>
T Rev(const T &v) {
  T res = v;
  reverse(begin(res), end(res));
  return res;
}

template <typename T>
vector<T> Transpose(const vector<T> &v) {
  using U = typename T::value_type;
  if(v.empty()) return {};
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      res[j][i] = v[i][j];
    }
  }
  return res;
}

template <typename T>
vector<T> Rotate(const vector<T> &v, int clockwise = true) {
  using U = typename T::value_type;
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      if (clockwise) {
        res[W - 1 - j][i] = v[i][j];
      } else {
        res[j][H - 1 - i] = v[i][j];
      }
    }
  }
  return res;
}

}  // namespace Nyaan


// bit operation

namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return __builtin_popcountll(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
  if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
}  // namespace Nyaan


// inout

namespace Nyaan {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
  os << p.first << " " << p.second;
  return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  int s = (int)v.size();
  for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
  return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (auto &x : v) is >> x;
  return is;
}

istream &operator>>(istream &is, __int128_t &x) {
  string S;
  is >> S;
  x = 0;
  int flag = 0;
  for (auto &c : S) {
    if (c == '-') {
      flag = true;
      continue;
    }
    x *= 10;
    x += c - '0';
  }
  if (flag) x = -x;
  return is;
}

istream &operator>>(istream &is, __uint128_t &x) {
  string S;
  is >> S;
  x = 0;
  for (auto &c : S) {
    x *= 10;
    x += c - '0';
  }
  return is;
}

ostream &operator<<(ostream &os, __int128_t x) {
  if (x == 0) return os << 0;
  if (x < 0) os << '-', x = -x;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
  if (x == 0) return os << 0;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
  cin >> t;
  in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}

struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;

}  // namespace Nyaan


// debug


#ifdef NyaanDebug
#define trc(...) (void(0))
#else
#define trc(...) (void(0))
#endif

#ifdef NyaanLocal
#define trc2(...) (void(0))
#else
#define trc2(...) (void(0))
#endif


// macro

#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...)   \
  int __VA_ARGS__; \
  in(__VA_ARGS__)
#define inl(...)         \
  long long __VA_ARGS__; \
  in(__VA_ARGS__)
#define ins(...)      \
  string __VA_ARGS__; \
  in(__VA_ARGS__)
#define in2(s, t)                           \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i]);                         \
  }
#define in3(s, t, u)                        \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i]);                   \
  }
#define in4(s, t, u, v)                     \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i], v[i]);             \
  }
#define die(...)             \
  do {                       \
    Nyaan::out(__VA_ARGS__); \
    return;                  \
  } while (0)


namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }


//


template <typename T>
struct edge {
  int src, to;
  T cost;

  edge(int _to, T _cost) : src(-1), to(_to), cost(_cost) {}
  edge(int _src, int _to, T _cost) : src(_src), to(_to), cost(_cost) {}

  edge &operator=(const int &x) {
    to = x;
    return *this;
  }

  operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T>>;
template <typename T>
using WeightedGraph = vector<Edges<T>>;
using UnweightedGraph = vector<vector<int>>;

// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
                      bool is_1origin = true) {
  UnweightedGraph g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    if (is_1origin) x--, y--;
    g[x].push_back(y);
    if (!is_directed) g[y].push_back(x);
  }
  return g;
}

// Input of Weighted Graph
template <typename T>
WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false,
                        bool is_1origin = true) {
  WeightedGraph<T> g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    cin >> c;
    if (is_1origin) x--, y--;
    g[x].emplace_back(x, y, c);
    if (!is_directed) g[y].emplace_back(y, x, c);
  }
  return g;
}

// Input of Edges
template <typename T>
Edges<T> esgraph([[maybe_unused]] int N, int M, int is_weighted = true,
                 bool is_1origin = true) {
  Edges<T> es;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    if (is_weighted)
      cin >> c;
    else
      c = 1;
    if (is_1origin) x--, y--;
    es.emplace_back(x, y, c);
  }
  return es;
}

// Input of Adjacency Matrix
template <typename T>
vector<vector<T>> adjgraph(int N, int M, T INF, int is_weighted = true,
                           bool is_directed = false, bool is_1origin = true) {
  vector<vector<T>> d(N, vector<T>(N, INF));
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    if (is_weighted)
      cin >> c;
    else
      c = 1;
    if (is_1origin) x--, y--;
    d[x][y] = c;
    if (!is_directed) d[y][x] = c;
  }
  return d;
}

/**
 * @brief グラフテンプレート
 * @docs docs/graph/graph-template.md
 */








template <typename G>
struct DSUonTree {
 private:
  G &g;
  int N;
  vector<int> sub_sz, euler, down, up;
  int idx_;
  int root;

  int dfs1(int cur, int par = -1) {
    sub_sz[cur] = 1;
    if ((int)g[cur].size() >= 2 and g[cur][0] == par) {
      swap(g[cur][0], g[cur][1]);
    }
    for (auto &dst : g[cur]) {
      if (dst == par) continue;
      sub_sz[cur] += dfs1(dst, cur);
      if (sub_sz[dst] > sub_sz[g[cur][0]]) swap(dst, g[cur][0]);
    }
    return sub_sz[cur];
  }

  void dfs2(int cur, int par = -1) {
    euler[idx_] = cur;
    down[cur] = idx_++;
    for (auto &dst : g[cur]) {
      if (dst == par) continue;
      dfs2(dst, cur);
    }
    up[cur] = idx_;
  }

 public:
  DSUonTree(G &_g,int _root = 0)
      : g(_g),
        N(_g.size()),
        sub_sz(_g.size()),
        euler(_g.size()),
        down(_g.size()),
        up(_g.size()),
        idx_(0),
        root(_root) {
    dfs1(root);
    dfs2(root);
  }

  int idx(int u) const { return down[u]; }

  template <typename UPDATE, typename QUERY, typename CLEAR, typename RESET>
  void run(UPDATE &update, QUERY &query, CLEAR &clear, RESET &reset) {
    auto dsu = [&](auto rc, int cur, int par = -1, bool keep = false) -> void {
      for (int i = 1; i < (int)g[cur].size(); i++)
        if (g[cur][i] != par) rc(rc, g[cur][i], cur, false);
      if (sub_sz[cur] != 1) rc(rc, g[cur][0], cur, true);
      if (sub_sz[cur] != 1)
        for (int i = up[g[cur][0]]; i < up[cur]; i++) update(euler[i]);
      update(cur);
      query(cur);
      if (!keep) {
        for (int i = down[cur]; i < up[cur]; i++) clear(euler[i]);
        reset();
      }
      return;
    };
    dsu(dsu, root);
  }
};

/**
 * @brief DSU on Tree(Guni)
 * @docs docs/tree/dsu-on-tree.md
 */





using namespace std;





template <typename T>
struct has_cost {
 private:
  template <typename U>
  static auto confirm(U u) -> decltype(u.cost, std::true_type());
  static auto confirm(...) -> std::false_type;

 public:
  enum : bool { value = decltype(confirm(std::declval<T>()))::value };
};

template <typename T>
vector<vector<T>> inverse_tree(const vector<vector<T>>& g) {
  int N = (int)g.size();
  vector<vector<T>> rg(N);
  for (int i = 0; i < N; i++) {
    for (auto& e : g[i]) {
      if constexpr (is_same<T, int>::value) {
        rg[e].push_back(i);
      } else if constexpr (has_cost<T>::value) {
        rg[e].emplace_back(e.to, i, e.cost);
      } else {
        assert(0);
      }
    }
  }
  return rg;
}

template <typename T>
vector<vector<T>> rooted_tree(const vector<vector<T>>& g, int root = 0) {
  int N = (int)g.size();
  vector<vector<T>> rg(N);
  vector<char> v(N, false);
  v[root] = true;
  queue<int> que;
  que.emplace(root);
  while (!que.empty()) {
    auto p = que.front();
    que.pop();
    for (auto& e : g[p]) {
      if (v[e] == false) {
        v[e] = true;
        que.push(e);
        rg[p].push_back(e);
      }
    }
  }
  return rg;
}

/**
 * @brief 根付き木・逆辺からなる木への変換
 */




template <typename G>
struct HeavyLightDecomposition {
 private:
  void dfs_sz(int cur) {
    size[cur] = 1;
    for (auto& dst : g[cur]) {
      if (dst == par[cur]) {
        if (g[cur].size() >= 2 && int(dst) == int(g[cur][0]))
          swap(g[cur][0], g[cur][1]);
        else
          continue;
      }
      depth[dst] = depth[cur] + 1;
      par[dst] = cur;
      dfs_sz(dst);
      size[cur] += size[dst];
      if (size[dst] > size[g[cur][0]]) {
        swap(dst, g[cur][0]);
      }
    }
  }

  void dfs_hld(int cur) {
    down[cur] = id++;
    for (auto dst : g[cur]) {
      if (dst == par[cur]) continue;
      nxt[dst] = (int(dst) == int(g[cur][0]) ? nxt[cur] : int(dst));
      dfs_hld(dst);
    }
    up[cur] = id;
  }

  // [u, v)
  vector<pair<int, int>> ascend(int u, int v) const {
    vector<pair<int, int>> res;
    while (nxt[u] != nxt[v]) {
      res.emplace_back(down[u], down[nxt[u]]);
      u = par[nxt[u]];
    }
    if (u != v) res.emplace_back(down[u], down[v] + 1);
    return res;
  }

  // (u, v]
  vector<pair<int, int>> descend(int u, int v) const {
    if (u == v) return {};
    if (nxt[u] == nxt[v]) return {{down[u] + 1, down[v]}};
    auto res = descend(u, par[nxt[v]]);
    res.emplace_back(down[nxt[v]], down[v]);
    return res;
  }

 public:
  G& g;
  int root, id;
  vector<int> size, depth, down, up, nxt, par;
  HeavyLightDecomposition(G& _g, int _root = 0)
      : g(_g),
        root(_root),
        id(0),
        size(g.size(), 0),
        depth(g.size(), 0),
        down(g.size(), -1),
        up(g.size(), -1),
        nxt(g.size(), root),
        par(g.size(), root) {
    dfs_sz(root);
    dfs_hld(root);
  }

  pair<int, int> idx(int i) const { return make_pair(down[i], up[i]); }

  template <typename F>
  void path_query(int u, int v, bool vertex, const F& f) {
    int l = lca(u, v);
    for (auto&& [a, b] : ascend(u, l)) {
      int s = a + 1, t = b;
      s > t ? f(t, s) : f(s, t);
    }
    if (vertex) f(down[l], down[l] + 1);
    for (auto&& [a, b] : descend(l, v)) {
      int s = a, t = b + 1;
      s > t ? f(t, s) : f(s, t);
    }
  }

  template <typename F>
  void path_noncommutative_query(int u, int v, bool vertex, const F& f) {
    int l = lca(u, v);
    for (auto&& [a, b] : ascend(u, l)) f(a + 1, b);
    if (vertex) f(down[l], down[l] + 1);
    for (auto&& [a, b] : descend(l, v)) f(a, b + 1);
  }

  template <typename F>
  void subtree_query(int u, bool vertex, const F& f) {
    f(down[u] + int(!vertex), up[u]);
  }

  int lca(int a, int b) {
    while (nxt[a] != nxt[b]) {
      if (down[a] < down[b]) swap(a, b);
      a = par[nxt[a]];
    }
    return depth[a] < depth[b] ? a : b;
  }

  int dist(int a, int b) { return depth[a] + depth[b] - depth[lca(a, b)] * 2; }
};

/**
 * @brief Heavy Light Decomposition(重軽分解)
 * @docs docs/tree/heavy-light-decomposition.md
 */


namespace StaticTopTreeImpl {

enum Type { Edge, Compress, Rake };

template <typename G>
struct StaticTopTree {
  const HeavyLightDecomposition<G>& hld;
  G g;
  int root;     // 元の木の root
  int tt_root;  // top tree の root
  vector<int> P, L, R;
  vector<Type> T;

  StaticTopTree(const HeavyLightDecomposition<G>& _hld) : hld(_hld) {
    root = hld.root;
    g = rooted_tree(hld.g, root);
    int n = g.size();
    P.resize(n, -1), L.resize(n, -1), R.resize(n, -1);
    T.resize(n, Type::Edge);
    build();
  }

 private:
  int add(int l, int r, Type t) {
    if (t == Type::Compress or t == Type::Rake) {
      assert(l != -1 and r != -1);
    }
    assert(t != Type::Edge);
    int k = P.size();
    P.push_back(-1), L.push_back(l), R.push_back(r), T.push_back(t);
    if (l != -1) P[l] = k;
    if (r != -1) P[r] = k;
    return k;
  }
  pair<int, int> merge(const vector<pair<int, int>>& a, Type t) {
    assert(!a.empty());
    if (a.size() == 1) return a[0];
    int sum_s = 0;
    for (auto& [_, s] : a) sum_s += s;
    vector<pair<int, int>> b, c;
    for (auto& [i, s] : a) {
      (sum_s > s ? b : c).emplace_back(i, s);
      sum_s -= s * 2;
    }
    auto [i, si] = merge(b, t);
    auto [j, sj] = merge(c, t);
    return {add(i, j, t), si + sj};
  }
  pair<int, int> compress(int i) {
    vector<pair<int, int>> chs{{i, 1}};
    while (!g[i].empty()) {
      chs.push_back(rake(i));
      i = g[i][0];
    }
    return merge(chs, Type::Compress);
  }
  pair<int, int> rake(int i) {
    vector<pair<int, int>> chs{{g[i][0], 1}};
    for (int j = 1; j < (int)g[i].size(); j++) chs.push_back(compress(g[i][j]));
    return merge(chs, Type::Rake);
  }
  void build() {
    auto [i, n] = compress(root);
    assert((int)g.size() == n);
    assert((int)P.size() == n * 2 - 1);
    tt_root = i;
  }
};

template <typename G, typename Data, typename Edge, typename Compress,
          typename Rake>
struct DPonStaticTopTree {
  const StaticTopTree<G> tt;
  vector<Data> dat;
  const Edge edge;
  const Compress compress;
  const Rake rake;

  DPonStaticTopTree(const HeavyLightDecomposition<G>& hld, const Edge& _edge,
                    const Compress& _compress, const Rake& _rake)
      : tt(hld), edge(_edge), compress(_compress), rake(_rake) {
    int n = tt.P.size();
    dat.resize(n);
    dfs(tt.tt_root);
  }

  Data get() { return dat[tt.tt_root]; }
  void update(int k) {
    while (k != -1) _update(k), k = tt.P[k];
  }

 private:
  void _update(int k) {
    if (tt.T[k] == Type::Edge) {
      dat[k] = edge(k);
    } else if (tt.T[k] == Type::Compress) {
      dat[k] = compress(dat[tt.L[k]], dat[tt.R[k]]);
    } else if (tt.T[k] == Type::Rake) {
      dat[k] = rake(dat[tt.L[k]], dat[tt.R[k]]);
    }
  }

  void dfs(int k) {
    if (tt.L[k] != -1) dfs(tt.L[k]);
    if (tt.R[k] != -1) dfs(tt.R[k]);
    _update(k);
  }
};

}  // namespace StaticTopTreeImpl

using StaticTopTreeImpl::DPonStaticTopTree;
using StaticTopTreeImpl::StaticTopTree;

/*
  // template
  using Data = ;
  auto edge = [&](int i) -> Data {

  };
  auto compress = [&](const Data& p, const Data& c) -> Data {

  };
  auto rake = [&](const Data& p, const Data& c) -> Data {

  };
  HeavyLightDecomposition hld{g};
  DPonStaticTopTree<vector<vector<int>>, Data, decltype(edge),
                    decltype(compress), decltype(rake)>
      dp(hld, edge, compress, rake);
*/


using namespace Nyaan;

struct Data {
  u64 bnum, blw, bhi;
  u64 wnum, wlw, whi;
  u64 ans;
  u64 dia;
};

void q() {
  ini(N);
  auto gA = graph(N);
  auto gB = graph(N);

  vi col(N);
  // template
  auto edge = [&](int i) -> Data {
    if (col[i] == 0) return {1, 0, 1, 0, 0, 0, 0, 1};
    return {0, 0, 0, 1, 0, 1, 0, 1};
  };
  auto compress = [&](const Data& p, const Data& c) -> Data {
    Data dat;
    dat.bnum = p.bnum + c.bnum;
    dat.blw = p.blw + c.blw + p.bnum * c.dia;
    dat.bhi = p.bhi + c.bhi + c.bnum * p.dia;
    dat.wnum = p.wnum + c.wnum;
    dat.wlw = p.wlw + c.wlw + p.wnum * c.dia;
    dat.whi = p.whi + c.whi + c.wnum * p.dia;
    dat.ans = p.ans + c.ans + c.bhi * p.wnum + c.whi * p.bnum + p.blw * c.wnum +
              p.wlw * c.bnum;
    dat.dia = p.dia + c.dia;
    return dat;
  };
  auto rake = [&](const Data& p, const Data& c) -> Data {
    Data dat;
    dat.bnum = p.bnum + c.bnum;
    dat.blw = p.blw + c.bhi + c.bnum * p.dia;
    dat.bhi = p.bhi + c.bhi;
    dat.wnum = p.wnum + c.wnum;
    dat.wlw = p.wlw + c.whi + c.wnum * p.dia;
    dat.whi = p.whi + c.whi;
    dat.ans = p.ans + c.ans + c.bhi * p.wnum + c.whi * p.bnum + p.bhi * c.wnum +
              p.whi * c.bnum;
    dat.dia = p.dia;
    return dat;
  };
  HeavyLightDecomposition hld{gB};
  DPonStaticTopTree<vector<vector<int>>, Data, decltype(edge),
                    decltype(compress), decltype(rake)>
      dp(hld, edge, compress, rake);

  u64 ans = 0;
  // reflect data of node i
  auto update = [&](int i) {
    trc("flip", i);
    col[i] ^= 1;
    dp.update(i);
  };
  // answer queries of subtree i
  auto query = [&](int cur) {
    auto dat = dp.get();
    trc(cur);
    trc(dat.bnum, dat.bhi, dat.blw);
    trc(dat.wnum, dat.whi, dat.wlw);
    trc(dat.ans, dat.dia);
    ans += dat.ans;
  };
  // below two function are called if all data must be deleted
  // delete data of node i (if necesarry)
  auto clear = [&](int i) {
    trc("flip", i);
    col[i] ^= 1;
    dp.update(i);
  };
  // delete data related to all (if necesarry)
  auto reset = [&]() {};
  DSUonTree<decltype(gA)> dsu(gA, 0);
  dsu.run(update, query, clear, reset);
  out(ans * 2);
}

void Nyaan::solve() {
  int t = 1;
  // in(t);
  while (t--) q();
}
yukicoder

結果

ソースコード
