結果

問題 No.1030 だんしんぐぱーりない
ユーザー ei1333333ei1333333
提出日時 2020-04-17 21:39:56
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 149 ms / 2,000 ms
コード長 9,539 bytes
コンパイル時間 2,427 ms
コンパイル使用メモリ 220,068 KB
実行使用メモリ 17,280 KB
最終ジャッジ日時 2024-10-03 11:46:31
合計ジャッジ時間 9,535 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 1 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 105 ms
14,848 KB
testcase_06 AC 84 ms
12,800 KB
testcase_07 AC 55 ms
7,424 KB
testcase_08 AC 57 ms
9,600 KB
testcase_09 AC 92 ms
15,744 KB
testcase_10 AC 38 ms
5,248 KB
testcase_11 AC 82 ms
10,496 KB
testcase_12 AC 107 ms
13,184 KB
testcase_13 AC 81 ms
12,928 KB
testcase_14 AC 95 ms
13,184 KB
testcase_15 AC 45 ms
5,760 KB
testcase_16 AC 100 ms
10,752 KB
testcase_17 AC 101 ms
15,488 KB
testcase_18 AC 117 ms
14,080 KB
testcase_19 AC 60 ms
6,784 KB
testcase_20 AC 69 ms
9,216 KB
testcase_21 AC 76 ms
11,648 KB
testcase_22 AC 75 ms
9,600 KB
testcase_23 AC 81 ms
9,472 KB
testcase_24 AC 66 ms
7,168 KB
testcase_25 AC 74 ms
10,112 KB
testcase_26 AC 48 ms
5,248 KB
testcase_27 AC 52 ms
5,248 KB
testcase_28 AC 89 ms
11,264 KB
testcase_29 AC 78 ms
13,184 KB
testcase_30 AC 64 ms
9,600 KB
testcase_31 AC 73 ms
9,216 KB
testcase_32 AC 81 ms
12,800 KB
testcase_33 AC 90 ms
14,208 KB
testcase_34 AC 35 ms
6,016 KB
testcase_35 AC 142 ms
17,280 KB
testcase_36 AC 127 ms
17,280 KB
testcase_37 AC 147 ms
17,280 KB
testcase_38 AC 144 ms
17,152 KB
testcase_39 AC 149 ms
17,280 KB
testcase_40 AC 2 ms
5,248 KB
testcase_41 AC 2 ms
5,248 KB
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 # 

#include <bits/stdc++.h>

using namespace std;

using int64 = long long;
const int mod = 1e9 + 7;
// const int mod = 998244353;

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 {
  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)};
}

template< typename T = int >
struct Edge {
  int from, to;
  T cost;
  int idx;

  Edge() = default;

  Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}

  operator int() const { return to; }
};

template< typename T = int >
struct Graph {
  vector< vector< Edge< T > > > g;
  int es;

  Graph() = default;

  explicit Graph(int n) : g(n), es(0) {}

  size_t size() const {
    return g.size();
  }

  void add_directed_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es++);
  }

  void add_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es);
    g[to].emplace_back(to, from, cost, es++);
  }

  void read(int M, int padding = -1, bool weighted = false, bool directed = false) {
    for(int i = 0; i < M; i++) {
      int a, b;
      cin >> a >> b;
      a += padding;
      b += padding;
      T c = T(1);
      if(weighted) cin >> c;
      if(directed) add_directed_edge(a, b, c);
      else add_edge(a, b, c);
    }
  }
};

template< typename T = int >
using Edges = vector< Edge< T > >;

template< typename Monoid >
struct SegmentTree {
  using F = function< Monoid(Monoid, Monoid) >;

  int sz;
  vector< Monoid > seg;

  const F f;
  const Monoid M1;

  SegmentTree(int n, const F f, const Monoid &M1) : f(f), M1(M1) {
    sz = 1;
    while(sz < n) sz <<= 1;
    seg.assign(2 * sz, M1);
  }

  void set(int k, const Monoid &x) {
    seg[k + sz] = x;
  }

  void build() {
    for(int k = sz - 1; k > 0; k--) {
      seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }

  void update(int k, const Monoid &x) {
    k += sz;
    seg[k] = x;
    while(k >>= 1) {
      seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }

  Monoid query(int a, int b) {
    Monoid L = M1, R = M1;
    for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
      if(a & 1) L = f(L, seg[a++]);
      if(b & 1) R = f(seg[--b], R);
    }
    return f(L, R);
  }

  Monoid operator[](const int &k) const {
    return seg[k + sz];
  }

  template< typename C >
  int find_subtree(int a, const C &check, Monoid &M, bool type) {
    while(a < sz) {
      Monoid nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]);
      if(check(nxt)) a = 2 * a + type;
      else M = nxt, a = 2 * a + 1 - type;
    }
    return a - sz;
  }


  template< typename C >
  int find_first(int a, const C &check) {
    Monoid L = M1;
    if(a <= 0) {
      if(check(f(L, seg[1]))) return find_subtree(1, check, L, false);
      return -1;
    }
    int b = sz;
    for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
      if(a & 1) {
        Monoid nxt = f(L, seg[a]);
        if(check(nxt)) return find_subtree(a, check, L, false);
        L = nxt;
        ++a;
      }
    }
    return -1;
  }

  template< typename C >
  int find_last(int b, const C &check) {
    Monoid R = M1;
    if(b >= sz) {
      if(check(f(seg[1], R))) return find_subtree(1, check, R, true);
      return -1;
    }
    int a = sz;
    for(b += sz; a < b; a >>= 1, b >>= 1) {
      if(b & 1) {
        Monoid nxt = f(seg[--b], R);
        if(check(nxt)) return find_subtree(b, check, R, true);
        R = nxt;
      }
    }
    return -1;
  }
};

/**
 * @brief Heavy-Light-Decomposition(HL分解)
 * @see https://smijake3.hatenablog.com/entry/2019/09/15/200200
 */
template< typename T = int >
struct HeavyLightDecomposition : Graph< T > {
public:
  using Graph< T >::Graph;
  using Graph< T >::g;
  vector< int > sz, in, out, head, rev, par, dep;

  void build() {
    sz.assign(g.size(), 0);
    in.assign(g.size(), 0);
    out.assign(g.size(), 0);
    head.assign(g.size(), 0);
    rev.assign(g.size(), 0);
    par.assign(g.size(), 0);
    dep.assign(g.size(), 0);
    dfs_sz(0, -1, 0);
    int t = 0;
    dfs_hld(0, -1, t);
  }

  /* k: 0-indexed */
  int la(int v, int k) {
    while(1) {
      int u = head[v];
      if(in[v] - k >= in[u]) return rev[in[v] - k];
      k -= in[v] - in[u] + 1;
      v = par[u];
    }
  }

  int lca(int u, int v) const {
    for(;; v = par[head[v]]) {
      if(in[u] > in[v]) swap(u, v);
      if(head[u] == head[v]) return u;
    }
  }

  int dist(int u, int v) const {
    return dep[u] + dep[v] - 2 * dep[lca(u, v)];
  }

  template< typename E, typename Q, typename F, typename S >
  E query(int u, int v, const E &ti, const Q &q, const F &f, const S &s, bool edge = false) {
    E l = ti, r = ti;
    for(;; v = par[head[v]]) {
      if(in[u] > in[v]) swap(u, v), swap(l, r);
      if(head[u] == head[v]) break;
      l = f(q(in[head[v]], in[v] + 1), l);
    }
    return s(f(q(in[u] + edge, in[v] + 1), l), r);
  }

  template< typename E, typename Q, typename F >
  E query(int u, int v, const E &ti, const Q &q, const F &f, bool edge = false) {
    return query(u, v, ti, q, f, f, edge);
  }

  template< typename Q >
  void add(int u, int v, const Q &q, bool edge = false) {
    for(;; v = par[head[v]]) {
      if(in[u] > in[v]) swap(u, v);
      if(head[u] == head[v]) break;
      q(in[head[v]], in[v] + 1);
    }
    q(in[u] + edge, in[v] + 1);
  }

  /* {parent, child} */
  vector< pair< int, int > > compress(vector< int > &remark) {
    auto cmp = [&](int a, int b) { return in[a] < in[b]; };
    sort(begin(remark), end(remark), cmp);
    remark.erase(unique(begin(remark), end(remark)), end(remark));
    int K = (int) remark.size();
    for(int k = 1; k < K; k++) remark.emplace_back(lca(remark[k - 1], remark[k]));
    sort(begin(remark), end(remark), cmp);
    remark.erase(unique(begin(remark), end(remark)), end(remark));
    vector< pair< int, int > > es;
    stack< int > st;
    for(auto &k : remark) {
      while(!st.empty() && out[st.top()] <= in[k]) st.pop();
      if(!st.empty()) es.emplace_back(st.top(), k);
      st.emplace(k);
    }
    return es;
  }

  explicit HeavyLightDecomposition(const Graph< T > &g) : Graph< T >(g) {}

private:
  void dfs_sz(int idx, int p, int d) {
    dep[idx] = d;
    par[idx] = p;
    sz[idx] = 1;
    if(g[idx].size() && g[idx][0] == p) swap(g[idx][0], g[idx].back());
    for(auto &to : g[idx]) {
      if(to == p) continue;
      dfs_sz(to, idx, d + 1);
      sz[idx] += sz[to];
      if(sz[g[idx][0]] < sz[to]) swap(g[idx][0], to);
    }
  }

  void dfs_hld(int idx, int p, int &times) {
    in[idx] = times++;
    rev[in[idx]] = idx;
    for(auto &to : g[idx]) {
      if(to == p) continue;
      head[to] = (g[idx][0] == to ? head[idx] : to);
      dfs_hld(to, idx, times);
    }
    out[idx] = times;
  }
};


int main() {
  int N, K, Q;
  cin >> N >> K >> Q;
  vector< int > C(N);
  cin >> C;
  vector< int > A(K);
  cin >> A;
  for(auto &p : A) --p;
  HeavyLightDecomposition< int > g(N);
  g.read(N - 1);
  g.build();
  auto f1 = [](int a, int b) { return min(a, b); };
  auto f2 = [](int a, int b) { return max(a, b); };
  SegmentTree< int > seg1(K, f1, inf), seg2(K, f2, -inf), seg3(N, f2, -inf);
  for(int i = 0; i < K; i++) {
    seg1.set(i, g.in[A[i]]);
    seg2.set(i, g.in[A[i]]);
  }
  for(int i = 0; i < N; i++) {
    seg3.set(g.in[i], C[i]);
  }
  seg1.build();
  seg2.build();
  seg3.build();
  while(Q--) {
    int t, a, b;
    cin >> t >> a >> b;
    if(t == 1) {
      --a, --b;
      seg1.update(a, g.in[b]);
      seg2.update(a, g.in[b]);
    } else {
      --a;
      int x = seg1.query(a, b);
      int y = seg2.query(a, b);
      int lca = g.lca(g.rev[x], g.rev[y]);
      cout << g.query(lca, 0, -inf, [&](int a, int b) { return seg3.query(a, b); }, [](int a, int b) { return max(a, b); }) << "\n";
    }
  }

}
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