#1147183 (C++14) No.3442 Good Vertex Connectivity

• 問題: No.3442 Good Vertex Connectivity
• ユーザー: hos.lyric
• 提出日時: 2026-02-07 04:28:57
• 言語: C++14 (gcc 15.2.0 + boost 1.89.0)
• 結果: AC
• 実行時間: 357 ms / 3,000 ms
• コード長: 11,458 bytes
• コンパイル時間: 7,274 ms
• コンパイル使用メモリ: 163,824 KB
• 実行使用メモリ: 24,808 KB
• 最終ジャッジ日時: 2026-02-07 04:29:46
• 合計ジャッジ時間: 24,740 ms
• ジャッジサーバーID （参考情報）: judge2 / judge5

ファイルパターン	結果
sample	AC * 1
other	AC * 69

ソースコード

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <chrono>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")

struct Hld {
  int n, rt;
  // needs to be tree
  // vertex lists
  // modified in build(rt) (parent removed, heavy child first)
  vector<vector<int>> graph;
  vector<int> sz, par, dep;
  int zeit;
  vector<int> dis, fin, sid;
  // head vertex (minimum depth) in heavy path
  vector<int> head;

  Hld() : n(0), rt(-1), zeit(0) {}
  explicit Hld(int n_) : n(n_), rt(-1), graph(n), zeit(0) {}
  void ae(int u, int v) {
    assert(0 <= u); assert(u < n);
    assert(0 <= v); assert(v < n);
    graph[u].push_back(v);
    graph[v].push_back(u);
  }

  void dfsSz(int u) {
    sz[u] = 1;
    for (const int v : graph[u]) {
      auto it = std::find(graph[v].begin(), graph[v].end(), u);
      if (it != graph[v].end()) graph[v].erase(it);
      par[v] = u;
      dep[v] = dep[u] + 1;
      dfsSz(v);
      sz[u] += sz[v];
    }
  }
  void dfsHld(int u) {
    dis[u] = zeit++;
    const int deg = graph[u].size();
    if (deg > 0) {
      int vm = graph[u][0];
      int jm = 0;
      for (int j = 1; j < deg; ++j) {
        const int v = graph[u][j];
        if (sz[vm] < sz[v]) {
          vm = v;
          jm = j;
        }
      }
      swap(graph[u][0], graph[u][jm]);
      head[vm] = head[u];
      dfsHld(vm);
      for (int j = 1; j < deg; ++j) {
        const int v = graph[u][j];
        head[v] = v;
        dfsHld(v);
      }
    }
    fin[u] = zeit;
  }
  void build(int rt_) {
    assert(0 <= rt_); assert(rt_ < n);
    rt = rt_;
    sz.assign(n, 0);
    par.assign(n, -1);
    dep.assign(n, -1);
    dep[rt] = 0;
    dfsSz(rt);
    zeit = 0;
    dis.assign(n, -1);
    fin.assign(n, -1);
    head.assign(n, -1);
    head[rt] = rt;
    dfsHld(rt);
    assert(zeit == n);
    sid.assign(n, -1);
    for (int u = 0; u < n; ++u) sid[dis[u]] = u;
  }

  friend ostream &operator<<(ostream &os, const Hld &hld) {
    const int maxDep = *max_element(hld.dep.begin(), hld.dep.end());
    vector<string> ss(2 * maxDep + 1);
    int pos = 0, maxPos = 0;
    for (int j = 0; j < hld.n; ++j) {
      const int u = hld.sid[j];
      const int d = hld.dep[u];
      if (hld.head[u] == u) {
        if (j != 0) {
          pos = maxPos + 1;
          ss[2 * d - 1].resize(pos, '-');
          ss[2 * d - 1] += '+';
        }
      } else {
        ss[2 * d - 1].resize(pos, ' ');
        ss[2 * d - 1] += '|';
      }
      ss[2 * d].resize(pos, ' ');
      ss[2 * d] += std::to_string(u);
      if (maxPos < static_cast<int>(ss[2 * d].size())) {
        maxPos = ss[2 * d].size();
      }
    }
    for (int d = 0; d <= 2 * maxDep; ++d) os << ss[d] << '\n';
    return os;
  }

  bool contains(int u, int v) const {
    return (dis[u] <= dis[v] && dis[v] < fin[u]);
  }
  int lca(int u, int v) const {
    assert(0 <= u); assert(u < n);
    assert(0 <= v); assert(v < n);
    for (; head[u] != head[v]; ) (dis[u] > dis[v]) ? (u = par[head[u]]) : (v = par[head[v]]);
    return (dis[u] > dis[v]) ? v : u;
  }
  int jumpUp(int u, int d) const {
    assert(0 <= u); assert(u < n);
    assert(d >= 0);
    if (dep[u] < d) return -1;
    const int tar = dep[u] - d;
    for (u = head[u]; ; u = head[par[u]]) {
      if (dep[u] <= tar) return sid[dis[u] + (tar - dep[u])];
    }
  }
  int jump(int u, int v, int d) const {
    assert(0 <= u); assert(u < n);
    assert(0 <= v); assert(v < n);
    assert(d >= 0);
    const int l = lca(u, v);
    const int du = dep[u] - dep[l], dv = dep[v] - dep[l];
    if (d <= du) {
      return jumpUp(u, d);
    } else if (d <= du + dv) {
      return jumpUp(v, du + dv - d);
    } else {
      return -1;
    }
  }
  // [u, v) or [u, v]
  template <class F> void doPathUp(int u, int v, bool inclusive, F f) const {
    assert(0 <= u); assert(u < n);
    assert(0 <= v); assert(v < n);
    assert(contains(v, u));
    for (; head[u] != head[v]; u = par[head[u]]) f(dis[head[u]], dis[u] + 1);
    if (inclusive) {
      f(dis[v], dis[u] + 1);
    } else {
      if (v != u) f(dis[v] + 1, dis[u] + 1);
    }
  }
  // not path order, include lca(u, v) or not
  template <class F> void doPath(int u, int v, bool inclusive, F f) const {
    assert(0 <= u); assert(u < n);
    assert(0 <= v); assert(v < n);
    const int l = lca(u, v);
    doPathUp(u, l, false, f);
    doPathUp(v, l, inclusive, f);
  }
  // find deepest true for pred: [u, root] -> bool, increasing
  // -1 if !pred(rt)
  template <class Pred> int findUp(int u, Pred pred) const {
    assert(0 <= u); assert(u < n);
    for (; ~u; ) {
      const int h = head[u];
      if (pred(h)) {
        int lo = dis[h], hi = dis[u] + 1;
        for (; lo + 1 < hi; ) {
          const int mid = (lo + hi) / 2;
          (pred(sid[mid]) ? lo : hi) = mid;
        }
        return sid[lo];
      }
      u = par[h];
    }
    return -1;
  }

  // (vs, ps): compressed tree
  // vs: DFS order (sorted by dis)
  // vs[ps[x]]: the parent of vs[x]
  // ids[vs[x]] = x, not set for non-tree vertex
  vector<int> ids;
  pair<vector<int>, vector<int>> compress(vector<int> us) {
    // O(n) first time
    ids.resize(n, -1);
    std::sort(us.begin(), us.end(), [&](int u, int v) -> bool {
      return (dis[u] < dis[v]);
    });
    us.erase(std::unique(us.begin(), us.end()), us.end());
    int usLen = us.size();
    assert(usLen >= 1);
    for (int x = 1; x < usLen; ++x) us.push_back(lca(us[x - 1], us[x]));
    std::sort(us.begin(), us.end(), [&](int u, int v) -> bool {
      return (dis[u] < dis[v]);
    });
    us.erase(std::unique(us.begin(), us.end()), us.end());
    usLen = us.size();
    for (int x = 0; x < usLen; ++x) ids[us[x]] = x;
    vector<int> ps(usLen, -1);
    for (int x = 1; x < usLen; ++x) ps[x] = ids[lca(us[x - 1], us[x])];
    return make_pair(us, ps);
  }
};

////////////////////////////////////////////////////////////////////////////////


struct Set {
  // max{ceil(log_64(n)), 1}
  int log64N, n;
  vector<unsigned long long> a[6];
  explicit Set(int n_ = 0) : n(n_) {
    assert(n >= 0);
    int m = n ? n : 1;
    for (int d = 0; ; ++d) {
      m = (m + 63) >> 6;
      a[d].assign(m, 0);
      if (m == 1) {
        log64N = d + 1;
        break;
      }
    }
  }
  bool empty() const {
    return !a[log64N - 1][0];
  }
  bool contains(int x) const {
    return (a[0][x >> 6] >> (x & 63)) & 1;
  }
  void insert(int x) {
    for (int d = 0; d < log64N; ++d) {
      const int q = x >> 6, r = x & 63;
      a[d][q] |= 1ULL << r;
      x = q;
    }
  }
  void erase(int x) {
    for (int d = 0; d < log64N; ++d) {
      const int q = x >> 6, r = x & 63;
      if ((a[d][q] &= ~(1ULL << r))) break;
      x = q;
    }
  }
  // max s.t. <= x (or -1)
  int prev(int x) const {
    if (x > n - 1) x = n - 1;
    for (int d = 0; d <= log64N; ++d) {
      if (x < 0) break;
      const int q = x >> 6, r = x & 63;
      const unsigned long long lower = a[d][q] << (63 - r);
      if (lower) {
        x -= __builtin_clzll(lower);
        for (int e = d; --e >= 0; ) x = x << 6 | (63 - __builtin_clzll(a[e][x]));
        return x;
      }
      x = q - 1;
    }
    return -1;
  }
  // min s.t. >= x (or n)
  int next(int x) const {
    if (x < 0) x = 0;
    for (int d = 0; d < log64N; ++d) {
      const int q = x >> 6, r = x & 63;
      if (static_cast<unsigned>(q) >= a[d].size()) break;
      const unsigned long long upper = a[d][q] >> r;
      if (upper) {
        x += __builtin_ctzll(upper);
        for (int e = d; --e >= 0; ) x = x << 6 | __builtin_ctzll(a[e][x]);
        return x;
      }
      x = q + 1;
    }
    return n;
  }
};


template <class T> void bAdd(vector<T> &bit, int pos, const T &val) {
  const int bitN = bit.size();
  for (int x = pos; x < bitN; x |= x + 1) bit[x] += val;
}
template <class T> T bSum(const vector<T> &bit, int pos) {
  T ret = 0;
  for (int x = pos; x > 0; x &= x - 1) ret += bit[x - 1];
  return ret;
}
template <class T> T bSum(const vector<T> &bit, int pos0, int pos1) {
  return bSum(bit, pos1) - bSum(bit, pos0);
}


int N;
vector<int> A, B;
vector<int> C;

Hld hld;
Set on;
vector<int> bit;

int dist(int l, int r) {
  const int u = hld.sid[l];
  const int v = hld.sid[r];
  return hld.dep[u] + hld.dep[v] - 2 * hld.dep[hld.lca(u, v)];
}
void add(int l, int r, int sig) {
  if (0 <= l && r < N) bAdd(bit, l, sig * dist(l, r));
}
void add(int u) {
  const int m = hld.dis[u];
  const int l = on.prev(m);
  const int r = on.next(m);
  on.insert(m);
  add(l, r, -1);
  add(l, m, +1);
  add(m, r, +1);
}
void rem(int u) {
  const int m = hld.dis[u];
  on.erase(m);
  const int l = on.prev(m);
  const int r = on.next(m);
  add(l, m, -1);
  add(m, r, -1);
  add(l, r, +1);
}

int calc(int L, int R) {
  const int l = on.next(L);
  if (l >= R) return 0;
  const int r = on.prev(R - 1);
  return (bSum(bit, l, r) + dist(l, r)) / 2 + 1;
}
int calc(int L0, int R0, int L1, int R1) {
  const int l0 = on.next(L0);
  if (l0 >= R0) return calc(L1, R1);
  const int l1 = on.next(L1);
  if (l1 >= R1) return calc(L0, R0);
  const int r0 = on.prev(R0 - 1);
  const int r1 = on.prev(R1 - 1);
  return (bSum(bit, l0, r0) + dist(r0, l1) + bSum(bit, l1, r1) + dist(l0, r1)) / 2 + 1;
}

int main() {
  for (; ~scanf("%d", &N); ) {
    A.resize(N - 1);
    B.resize(N - 1);
    for (int i = 0; i < N - 1; ++i) {
      scanf("%d%d", &A[i], &B[i]);
      --A[i];
      --B[i];
    }
    C.resize(N);
    for (int u = 0; u < N; ++u) scanf("%d", &C[u]);
    
    hld = Hld(N);
    for (int i = 0; i < N - 1; ++i) hld.ae(A[i], B[i]);
    hld.build(0);
    on = Set(N);
    bit.assign(N, 0);
    for (int u = 0; u < N; ++u) if (C[u]) add(u);
    
    int Q;
    scanf("%d", &Q);
    for (int q = 0; q < Q; ++q) {
      int O;
      scanf("%d", &O);
      if (O == 1) {
        int V;
        scanf("%d", &V);
        --V;
        (C[V] ^= 1) ? add(V) : rem(V);
      } else if (O == 2) {
        // X-Y-*
        int X, Y;
        scanf("%d%d", &X, &Y);
        --X;
        --Y;
        int ans = 0;
        if (X == Y) {
          ans = calc(0, N);
        } else {
          X = hld.jump(Y, X, 1);
          if (X == hld.par[Y]) {
            ans = calc(hld.dis[Y], hld.fin[Y]);
          } else {
            ans = calc(0, hld.dis[X], hld.fin[X], N);
          }
        }
        printf("%d\n", ans);
      } else {
        assert(false);
      }
    }
  }
  return 0;
}