結果

問題 No.1030 だんしんぐぱーりない
コンテスト
ユーザー KoD
提出日時 2020-04-17 22:51:38
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 7,692 bytes
コンパイル時間 2,018 ms
コンパイル使用メモリ 92,492 KB
最終ジャッジ日時 2025-01-09 20:31:24
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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ファイルパターン 結果
sample AC * 2
other AC * 26 WA * 1 RE * 7 TLE * 6
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ソースコード

diff # 

#include <iostream>
#include <algorithm>
#include <utility>
#include <vector>
#include <numeric>

template <class T, class U>
inline bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) {
    lhs = rhs;
    return true;
  }
  return false;
}

template <class T, class U>
inline bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) {
    lhs = rhs;
    return true;
  }
  return false;
}

// [l, r) from l to r
struct range {
  struct itr {
    int i;
    constexpr itr(int i_): i(i_) { }
    constexpr void operator ++ () { ++i; }
    constexpr int operator * () const { return i; }
    constexpr bool operator != (itr x) const { return i != x.i; }
  };
  const itr l, r;
  constexpr range(int l_, int r_): l(l_), r(std::max(l_, r_)) { }
  constexpr itr begin() const { return l; }
  constexpr itr end() const { return r; }
};

// [l, r) from r to l
struct revrange {
  struct itr {
    int i;
    constexpr itr(int i_): i(i_) { }
    constexpr void operator ++ () { --i; }
    constexpr int operator * () const { return i; }
    constexpr bool operator != (itr x) const { return i != x.i; }
  };
  const itr l, r;
  constexpr revrange(int l_, int r_): l(l_ - 1), r(std::max(l_, r_) - 1) { }
  constexpr itr begin() const { return r; }
  constexpr itr end() const { return l; }
};


class heavy_light_decomposition {
private:
  std::vector<std::vector<int>> graph;
  std::vector<int> size, parent, head;
  int index;

  void calc_size(int u, int p) {
    size[u] = 1;
    for (int v: graph[u]) {
      if (v != p) {
        calc_size(v, u);
        size[u] += size[v];
      }
    }
  }

  void decompose(int u, int p, int h) {
    label[u] = index;
    head[u] = h;
    parent[u] = p;
    ++index;
    int max = -1, heavy = -1;
    for (int v : graph[u]) {
      if (v != p) {
        if (max < size[v]) {
          max = size[v];
          heavy = v;
        }
      }
    }
    if (heavy == -1) {
      return;
    }
    decompose(heavy, u, h);
    for (int v : graph[u]) {
      if (v != p && v != heavy) {
        decompose(v, u, v);
      }
    }
  }

public:
  std::vector<int> label;

  heavy_light_decomposition() { }
  heavy_light_decomposition(int size_) { init(size_); }

  void init(int size_) {
    graph.assign(size_, { });
    size.assign(size_, 0);
    parent.assign(size_, 0);
    head.assign(size_, 0);
    label.assign(size_, 0);
  }

  void add_edge(int u, int v) {
    graph[u].push_back(v);
    graph[v].push_back(u);
  }

  void build() {
    index = 0;
    calc_size(0, -1);
    decompose(0, -1, 0);
  }

  template <class T> 
  void each_edge(int u, int v, const T &func) const {
    while (true) {
      if (label[u] > label[v]) {
        std::swap(u, v);
      }
      if (head[u] == head[v]) {
        if (label[u] + 1 <= label[v]) {
          func(label[u] + 1, label[v]);
        }
        return;
      }
      func(label[head[v]], label[v]);
      v = parent[head[v]];
    }
  }

  template <class T> 
  void each_vertex(int u, int v, const T &func) const {
    while (true) {
      if (label[u] > label[v]) {
        std::swap(u, v);
      }
      if (head[u] == head[v]) {
        func(label[u], label[v]);
        return;
      }
      func(label[head[v]], label[v]);
      v = parent[head[v]];
    }
  }

  int lca(int u, int v) const {
    if (label[u] > label[v]) {
      std::swap(u, v);
    }
    while (label[u] <= label[v]) {
      if (head[u] == head[v]) {
        return u;
      }
      v = parent[head[v]];
    }
    return v;
  }

};

heavy_light_decomposition hld;

template <class T>
class segment_tree {
public:
  using value_type = typename T::value_type;
  using effector_type = typename T::effector_type;
  using value_operation = typename T::value_operation;
  using merge_operation = typename T::merge_operation;

private:
  int size;
  const value_operation op1;
  const merge_operation op2;
  std::vector<value_type> node;

  void update() {
    for (int k = size - 1; k > 0; --k) {
      node[k] = op1(node[k << 1 | 0], node[k << 1 | 1]);
    }
  }

public:
  segment_tree(): op1(value_operation()), op2(merge_operation()) { }
  segment_tree(int size_, const value_type &initial_ = value_operation().identity):
    op1(value_operation()), op2(merge_operation())
  { init(size_, initial_); }
  segment_tree(const std::vector<value_type> &node_):
    op1(value_operation()), op2(merge_operation())
  { build(node_); }

  void init(int size_, const value_type &initial_ = value_operation().identity) {
    size = 1;
    while (size < size_) {
      size <<= 1;
    }
    node.assign(size << 1, initial_);
    update();
  }
  void build(const std::vector<value_type> &node_) {
    init(node_.size());
    assign(node_.begin(), node_.end(), 0);
  }

  void modify(int i, const effector_type &x) {
    i += size;
    node[i] = op2(node[i], x);
    while (i > 1) {
      i >>= 1;
      node[i] = op1(node[i << 1 | 0], node[i << 1 | 1]);
    }
  }
  template <class U>
  void modify(U begin, U end, int i) {
    i += size;
    while (begin != end) {
      node[i] = op2(node[i], *begin);
      ++i;
      ++begin;
    }
    update();
  }

  void assign(int i, const value_type &x) {
    i += size;
    node[i] = x;
    while (i > 1) {
      i >>= 1;
      node[i] = op1(node[i << 1 | 0], node[i << 1 | 1]);
    } 
  }
  template <class U>
  void assign(U begin, U end, int i) {
    i += size;
    while (begin != end) {
      node[i] = *begin;
      ++i;
      ++begin;
    }
    update();
  }

  value_type operator [] (int i) const { 
    return node[i + size];
  }
  value_type fold(int l, int r) const {
    l += size;
    r += size;
    value_type resl = op1.identity;
    value_type resr = op1.identity;
    while (l < r) {
      if (l & 1) {
        resl = op1(resl, node[l++]);
      }
      if (r & 1) {
        resr = op1(node[--r], resr);
      }
      l >>= 1;
      r >>= 1;
    }
    return op1(resl, resr);
  }

};

template <class T>
struct fix_point: private T {
  explicit constexpr fix_point(T &&func): T(std::forward<T>(func)) { }
  template <class... Args>
  constexpr decltype(auto) operator () (Args &&... args) const {
    return T::operator()(*this, std::forward<Args>(args)...);
  }
};

int main() {
  int N, K, Q;
  std::cin >> N >> K >> Q;
  std::vector<int> vivace(N);
  std::vector<std::vector<int>> graph(N);
  for (int &x: vivace) {
    std::cin >> x;
  }
  std::vector<int> lives(K);
  for (int &x: lives) {
    std::cin >> x;
    --x;
  }
  hld.init(N);
  for (int i: range(0, N - 1)) {
    int a, b;
    std::cin >> a >> b;
    --a; --b;
    graph[a].push_back(b);
    graph[b].push_back(a);
    hld.add_edge(a, b);
  }
  hld.build();
  struct monoid {
    using value_type = int;
    using effector_type = int;
    struct value_operation {
      value_type identity = -1;
      value_type operator () (const value_type &i, const value_type &j) const {
        if (i == -1) return j;
        if (j == -1) return i;
        return hld.lca(i, j);
      }
    };
    struct merge_operation {
      value_type operator () (const value_type &i, const effector_type &j) const {
        return j;
      }
    };
  };
  segment_tree<monoid> seg(N);
  for (int i: range(0, K)) {
    seg.assign(i, lives[i]);
  }
  fix_point([&](auto dfs, int u, int p) -> void {
    if (p != -1) {
      chmax(vivace[u], vivace[p]);
    }
    for (int v: graph[u]) {
      if (v != p) {
        dfs(v, u);
      }
    }
  })(0, -1);
  while (Q--) {
    int type;
    std::cin >> type;
    if (type == 1) {
      int x, y;
      std::cin >> x >> y;
      --x; --y;
      seg.assign(x, y);
    }
    else {
      int l, r;
      std::cin >> l >> r;
      --l;
      std::cout << vivace[seg.fold(l, r)] << '\n';
    }
  }
  return 0;
}
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