#include #include #include #include #include template inline bool chmin(T &lhs, const U &rhs) { if (lhs > rhs) { lhs = rhs; return true; } return false; } template 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> graph; std::vector 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 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 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 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 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 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 &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 &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 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 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 struct fix_point: private T { explicit constexpr fix_point(T &&func): T(std::forward(func)) { } template constexpr decltype(auto) operator () (Args &&... args) const { return T::operator()(*this, std::forward(args)...); } }; int main() { int N, K, Q; std::cin >> N >> K >> Q; std::vector vivace(N); std::vector> graph(N); for (int &x: vivace) { std::cin >> x; } std::vector 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 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; }