結果

問題 No.529 帰省ラッシュ
コンテスト
ユーザー suisen
提出日時 2022-12-11 23:28:06
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 407 ms / 4,500 ms
コード長 11,007 bytes
コンパイル時間 3,031 ms
コンパイル使用メモリ 219,156 KB
最終ジャッジ日時 2025-02-09 09:49:02
ジャッジサーバーID
（参考情報） 		judge1 / judge3
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 * 18
権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 1 "test/graph/tecc/yuki1290.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/1290"

#line 2 "src/Template.hpp"

#define CUT
#include <bits/stdc++.h>

using namespace std;

#define rep(i, l, r) for (int i = (l); i < (r); ++i)
#define rrep(i, l, r) for (int i = (r); i --> (l);)
#define all(c) begin(c), end(c)

#ifdef LOCAL
#define debug(...) debug_impl(#__VA_ARGS__, __VA_ARGS__)
template <class H, class... Ts> void debug_impl(string s, H&& h, Ts&&... ts) {
  cerr << '(' << s << "): (" << forward<H>(h);
  ((cerr << ", " << forward<Ts>(ts)), ..., (cerr << ")\n"));
}
#else
#define debug(...) void(0)
#endif

template <class T> bool chmax(T& a, const T& b) { return b > a ? (a = b, true) : false; }
template <class T> bool chmin(T& a, const T& b) { return b < a ? (a = b, true) : false; }

template <class T> istream& operator>>(istream& in, vector<T>& v) {
  for (auto& e : v) in >> e;
  return in;
}
template <class ...Args> void read(Args&... args) {
  (cin >> ... >> args);
}
template <class T> ostream& operator<<(ostream& out, const vector<T>& v) {
  int n = v.size();
  rep(i, 0, n) {
    out << v[i];
    if (i + 1 != n) out << ' ';
  }
  return out;
}
template <class H, class ...Ts> void print(H&& h, Ts &&... ts) {
  cout << h, ((cout << ' ' << forward<Ts>(ts)), ..., (cout << '\n'));
}

struct io_setup_ {
  io_setup_() {
    ios::sync_with_stdio(false), cin.tie(nullptr);
    cout << fixed << setprecision(10);
  }
} io_setup{};
#undef CUT

#define NOTE compile command: \texttt{g++ -std=gnu++17 -Wall -Wextra -g -fsanitize=address -fsanitize=undefined \$\{file\} -o \$\{fileDirname\}/\$\{fileBasenameNoExtension\}}
#undef NOTE
#define NOTE \texttt{-DLOCAL} を加えると \texttt{debug(...)} による出力が有効となる
#undef NOTE
#line 3 "src/graph/TECC.hpp"
#define CUT
#line 2 "src/graph/LowLink.hpp"

#line 4 "src/graph/LowLink.hpp"

#define CUT
struct LowLink {
  int n, m;
  vector<pair<int, int>> es;
  vector<vector<pair<int, int>>> g;
  vector<int> ord, low, a_ids, b_ids;

  LowLink(const int n = 0): n(n), m(0), g(n), ord(n, -1), low(n) {}

  // Returns the id of the added edge
  int add_edge(int u, int v) {
    es.emplace_back(u, v);
    g[u].emplace_back(v, m);
    g[v].emplace_back(u, m);
    return m++;
  }

  void build() {
    int t = 0;
    auto dfs = [&](auto dfs, int u, int id) -> void {
      bool is_root = id < 0, is_art = false;
      int cnt = 0;
      ord[u] = low[u] = t++;
      for (auto [v, id2] : g[u]) if (id != id2) {
        if (ord[v] < 0) {
          ++cnt;
          dfs(dfs, v, id2);
          chmin(low[u], low[v]);
          if (ord[u] <= low[v]) {
            is_art = not is_root;
            if (ord[u] != low[v]) b_ids.push_back(id2);
          }
        } else {
          chmin(low[u], ord[v]);
        }
      }
      if (is_art or (is_root and cnt > 1)) {
        a_ids.push_back(u);
      }
    };
    rep(i, 0, n) if (ord[i] < 0) dfs(dfs, i, -1);
  }

  const pair<int, int>& edge(int edge_id) const { return es[edge_id]; }
  const vector<pair<int, int>>& edges() const { return es; }

  // Returns `\{i \mid \text{$e_i$ is a bridge} \}`
  const vector<int>& bridge_ids() const { return b_ids; }
  // Returns `\{i \mid \text{$v_i$ is an articulation point} \}`
  const vector<int>& articulation_points() const { return a_ids; }

  bool is_bridge(int u, int v) const {
    if (ord[u] > ord[v]) swap(u, v);
    return ord[u] < low[v];
  }
};
#undef CUT

#define NOTE buildを忘れない!!
#undef NOTE
#line 5 "src/graph/TECC.hpp"
struct TwoEdgeConnectedComponents: LowLink {
  // cid[v]: 頂点vが属する二辺連結成分のid
  vector<int> cid;

  TwoEdgeConnectedComponents(int n = 0): LowLink(n), cid(n, -1) {}

  // Returns # of TECCs
  int build() {
    LowLink::build();

    int num = 0;
    auto dfs = [&](auto dfs, int u, int p) -> void {
      cid[u] = p >= 0 and low[u] <= ord[p] ? cid[p] : num++;
      for (auto [v, _] : g[u]) if (cid[v] < 0) dfs(dfs, v, u);
    };
    rep(i, 0, n) {
      if (cid[i] < 0) dfs(dfs, i, -1);
    }
    return num;
  }

  // 先にbuildすること
  vector<vector<int>> groups() const {
    const int num = *max_element(all(cid)) + 1;
    vector<vector<int>> res(num);
    rep(i, 0, n) res[cid[i]].push_back(i);
    return res;
  }

  // 先にbuildすること
  // 二重辺連結成分を縮約してできる森を返す。pairは(接続先の二重辺連結成分id, 元の辺id)
  vector<vector<pair<int, int>>> reduce() const {
    const int num = *max_element(all(cid)) + 1;
    vector<vector<pair<int, int>>> res(num);
    rep(u, 0, n) for (auto [v, eid] : g[u]) {
      if (int cu = cid[u], cv = cid[v]; cu != cv) {
        res[cu].emplace_back(cv, eid);
      }
    }
    return res;
  }
};
#undef CUT

#define NOTE buildを忘れない!!
#undef NOTE
#line 3 "src/tree/HLD.hpp"
#define CUT
struct HLD {
  int n;
  vector<int> visit, leave, head, ord, siz, par, dep;
private:
  int dfs(vector<vector<int>>& g, int u, int p) {
    par[u] = p;
    int maxsiz = 0;
    for (int& v : g[u]) if (v != p) {
      dep[v] = dep[u] + 1;
      siz[u] += dfs(g, v, u);
      if (chmax(maxsiz, siz[v])) swap(g[u][0], v);
    }
    return siz[u];
  }
  int time = 0;
  void hld(const vector<vector<int>>& g, int u, int p) {
    visit[u] = time, ord[time] = u, ++time;
    head[u] = p >= 0 and g[p][0] == u ? head[p] : u;
    for (int v : g[u]) if (v != p) hld(g, v, u);
    leave[u] = time;
  }
public:
  HLD() = default;
  HLD(vector<vector<int>>& g, vector<int> roots = {}):
    n(g.size()), visit(n), leave(n), head(n), ord(n), siz(n, 1), par(n, -1), dep(n) {
    for (int r : roots) if (par[r] < 0) dfs(g, r, -1);
    rep(r, 0, n) if (par[r] < 0) dfs(g, r, -1);
    rep(r, 0, n) if (par[r] < 0) hld(g, r, -1);
  }
  int size() const { return n; }
  int lca(int u, int v) const {
    for (;; v = par[head[v]]) {
      if (visit[u] > visit[v]) swap(u, v);
      if (head[u] == head[v]) return u;
    }
  }
  int la(int u, int k) const {
    if (k < 0) return -1;
    while (u >= 0) {
      int h = head[u];
      if (visit[u] - k >= visit[h]) return ord[visit[u] - k];
      k -= visit[u] - visit[h] + 1;
      u = par[h];
    }
    return -1;
  }
  int jump(int u, int v, int d) const {
    if (d < 0) return -1;
    int w = lca(u, v);
    int uw = dep[u] - dep[w];
    if (d <= uw) return la(u, d);
    int vw = dep[v] - dep[w];
    return d <= uw + vw ? la(v, (uw + vw) - d) : -1;
  }
  int dist(int u, int v) const {
    return dep[u] + dep[v] - 2 * dep[lca(u, v)];
  }
  vector<pair<int, int>> get_path(int u, int v, bool is_edge_query) const {
    vector<pair<int, int>> res;
    for (;; v = par[head[v]]) {
      if (visit[u] > visit[v]) swap(u, v);
      if (head[u] == head[v]) break;
      res.emplace_back(visit[head[v]], visit[v] + 1);
    }
    res.emplace_back(visit[u] + is_edge_query, visit[v] + 1);
    return res;
  }
  // uvパス上の値を順番通りに掛けた結果を返す
  template <class T, class Op, class Prod, class RevProd>
  T fold_path_ordered(int u, int v, Op op, T e, Prod prod, RevProd rev_prod, bool is_edge_query) const {
    int w = lca(u, v);
    T sml = e, smr = e;
    for (auto [l, r] : get_path(u, w, is_edge_query)) sml = op(sml, rev_prod(l, r));
    for (auto [l, r] : get_path(v, w, true)) smr = op(prod(l, r), smr);
    return op(sml, smr);
  }
  pair<int, int> get_subtree(int u, bool is_edge_query) const {
    return { visit[u] + is_edge_query, leave[u] };
  }
  // vertex->id
  int get_id(int u) const {
    return visit[u];
  }
  // id->vertexのvector
  vector<int> inv_ids() const {
    vector<int> inv(n);
    rep(i, 0, n) inv[visit[i]] = i;
    return inv;
  }
  vector<int> roots() const {
    vector<int> res;
    rep(i, 0, n) if (par[i] < 0) res.push_back(i);
    return res;
  }
};
#undef CUT
#line 3 "src/datastructure/Segtree.hpp"

#define CUT
template <class S, S(*op)(S, S), S(*e)()> struct Segtree {
  Segtree(int n = 0): Segtree(vector<S>(n, e())) {}
  Segtree(const vector<S>& v):
    _n(v.size()), siz(1 << ceil_log2(_n)), d(2 * siz, e()) {
    rep(i, 0, _n) d[siz + i] = v[i];
    for (int i = siz - 1; i; --i) update(i);
  }
  void set(int p, S x) {
    assert(0 <= p and p < _n);
    p += siz;
    d[p] = x;
    while (p >>= 1) update(p);
  }
  S get(int p) const {
    assert(0 <= p and p < _n);
    return d[p + siz];
  }
  S prod(int l, int r) const {
    assert(0 <= l and l <= r and r <= _n);
    S sml = e(), smr = e();
    for (l += siz, r += siz; l < r; l >>= 1, r >>= 1) {
      if (l & 1) sml = op(sml, d[l++]);
      if (r & 1) smr = op(d[--r], smr);
    }
    return op(sml, smr);
  }
  S all_prod() const { return d[1]; }
  template <class F> int max_right(int l, F f) const {
    assert(0 <= l and l <= _n);
    assert(f(e()));
    if (l == _n) return _n;
    l += siz;
    S sm = e();
    do {
      while (l % 2 == 0) l >>= 1;
      if (not f(op(sm, d[l]))) {
        while (l < siz) if (l = 2 * l; f(op(sm, d[l]))) sm = op(sm, d[l++]);
        return l - siz;
      }
      sm = op(sm, d[l++]);
    } while ((l & -l) != l);
    return _n;
  }
  template <class F> int min_left(int r, F f) const {
    assert(0 <= r and r <= _n);
    assert(f(e()));
    if (r == 0) return 0;
    r += siz;
    S sm = e();
    do {
      r--;
      while (r > 1 and r % 2 == 1) r >>= 1;
      if (not f(op(d[r], sm))) {
        while (r < siz) if (r = 2 * r + 1; f(op(d[r], sm))) sm = op(d[r--], sm);
        return r + 1 - siz;
      }
      sm = op(d[r], sm);
    } while ((r & -r) != r);
    return 0;
  }
private:
  int _n, siz;
  vector<S> d;

  void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
  static int ceil_log2(int n) {
    int l = 0;
    while (1 << l < n) ++l;
    return l;
  }
};
#undef CUT
#line 6 "test/graph/tecc/yuki1290.test.cpp"

constexpr int inf = numeric_limits<int>::max() / 2;

pair<int, int> op(pair<int, int> x, pair<int, int> y) {
  return max(x, y);
}
pair<int, int> e() {
  return { -1, -1 };
}

int main() {
  int n, m, q;
  read(n, m, q);

  TwoEdgeConnectedComponents tecc(n);
  rep(i, 0, m) {
    int u, v;
    read(u, v);
    --u, --v;
    tecc.add_edge(u, v);
  }
  int k = tecc.build();
  auto reduced = tecc.reduce();

  vector<vector<int>> t(k);
  rep(i, 0, k) for (auto [j, eid] : reduced[i]) {
    t[i].push_back(j);
  }
  HLD hld(t);

  vector<priority_queue<int>> pqs(k);

  Segtree<pair<int, int>, op, e> seg(k);
  rep(qid, 0, q) {
    int qt;
    read(qt);
    if (qt == 1) {
      int u, w;
      read(u, w);
      --u;
      u = hld.get_id(tecc.cid[u]);
      pqs[u].push(w);
      seg.set(u, { pqs[u].top(), u });
    } else {
      int x, y;
      read(x, y);
      --x, --y;
      x = tecc.cid[x], y = tecc.cid[y];
      pair<int, int> res = e();
      for (auto [l, r] : hld.get_path(x, y, false)) {
        res = op(res, seg.prod(l, r));
      }
      print(res.first);
      if (res.first >= 0) {
        int u = res.second;
        pqs[u].pop();
        seg.set(u, { pqs[u].size() ? pqs[u].top() : -1 , u });
      }
    }
  }
}
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