#include // clang-format off using Int = long long; #define REP_(i, a_, b_, a, b, ...) for (Int i = (a), lim##i = (b); i < lim##i; i++) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) struct SetupIO { SetupIO() { std::cin.tie(nullptr), std::ios::sync_with_stdio(false), std::cout << std::fixed << std::setprecision(13); } } setup_io; #ifndef _MY_DEBUG #define dump(...) #endif // clang-format on /** * author: knshnb * created: Fri Apr 17 22:21:54 JST 2020 **/ template inline bool chmin(T& a, const T& b) { if (a <= b) return false; a = b; return true; } template inline bool chmax(T& a, const T& b) { if (a >= b) return false; a = b; return true; } // edgeを貼ったあとにbuild()を忘れない! struct TreeDoubling { struct Edge { int to, len; }; // 場合に応じて書き換える、toは必須 std::vector> g; int n, size; // MSB + 1 int root; std::vector depth; std::vector> parent; // ダミー頂点n(親もn) TreeDoubling(int n_) : g(n_), n(n_), size(64 - __builtin_clzll(n_) + 1), depth(n_) { parent.resize(size, std::vector(n + 1, n)); } void build(int root_ = 0) { auto dfs = [&](auto f, int v, int prv) -> void { for (Edge& e : g[v]) { if (e.to == prv) continue; depth[e.to] = depth[v] + e.len; parent[0][e.to] = v; f(f, e.to, v); } }; root = root_; depth[root] = 0; dfs(dfs, root, -1); for (int k = 0; k < size - 1; k++) { for (int i = 0; i < n; i++) { parent[k + 1][i] = parent[k][parent[k][i]]; } } } // vからd個分親にさかのぼった頂点、rootよりも上はnを返す int query(int v, int d) { int ret = v; for (int j = 0; j < size; j++) { if (d >> j & 1) ret = parent[j][ret]; } return ret; } int lca(int u, int v) { if (depth[u] > depth[v]) std::swap(u, v); v = query(v, depth[v] - depth[u]); if (u == v) return u; for (int j = size - 1; j >= 0; j--) { if (parent[j][u] == parent[j][v]) continue; u = parent[j][u]; v = parent[j][v]; } assert(parent[0][u] == parent[0][v]); return parent[0][u]; } int dist(int u, int v) { return depth[u] + depth[v] - depth[lca(u, v)] * 2; } }; /// @docs src/DataStructure/SegmentTree.md template struct SegmentTree { const F op; const T e; SegmentTree(F op_, T e_) : op(op_), e(e_) {} int n; std::vector t; void set_by_identity(int n_) { n = n_; t.clear(), t.resize(2 * n, e); } void set_by_vector(const std::vector& a) { n = a.size(); t.clear(), t.resize(2 * n, e); for (int i = 0; i < n; i++) t[i + n] = a[i]; build(); } void build() { for (int i = n - 1; i; --i) t[i] = op(t[2 * i], t[2 * i + 1]); } T& operator[](int i) { return t[i + n]; } // [l, r) T query(int l, int r) const { assert(0 <= l && l <= r && r <= n); T resl = e, resr = e; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) resl = op(resl, t[l++]); if (r & 1) resr = op(t[--r], resr); } return op(resl, resr); } // i番目をxに変更 void update(int i, const T& x) { assert(0 <= i && i < n); t[i += n] = x; while (i >>= 1) t[i] = op(t[2 * i], t[2 * i + 1]); } // i番目にxを作用 (a[i] = op(a[i], x)) void operate(int i, const T& x) { assert(0 <= i && i < n); i += n; t[i] = op(t[i], x); while (i >>= 1) t[i] = op(t[2 * i], t[2 * i + 1]); } friend std::string to_string(const SegmentTree& seg) { return to_string(std::vector(seg.t.begin() + seg.n, seg.t.end())); } }; template auto make_segment_tree(F op, T e) { return SegmentTree(op, e); } signed main() { int n, K, Q; std::cin >> n >> K >> Q; std::vector c(n), a(K); REP(i, n) std::cin >> c[i]; REP(i, K) std::cin >> a[i], a[i]--; TreeDoubling g(n); for (int i = 0; i < n - 1; i++) { int u, v; std::cin >> u >> v; u--, v--; g.g[u].push_back({v, 1}); g.g[v].push_back({u, 1}); } g.build(); std::vector mas(n, -1); auto dfs = [&](auto f, int v, int prv) -> void { chmax(mas[v], c[v]); for (auto& p : g.g[v]) { Int s = p.to; if (s == prv) continue; chmax(mas[s], mas[v]); f(f, s, v); } }; dfs(dfs, 0, -1); auto seg = make_segment_tree( [&g](Int i, Int j) -> Int { if (i == -1) return j; if (j == -1) return i; return g.lca(i, j); }, -1LL); seg.set_by_vector(a); REP(q, Q) { Int t, x, y; std::cin >> t >> x >> y; if (t == 1) { seg.update(x - 1, y - 1); } else { std::cout << mas[seg.query(x - 1, y)] << "\n"; } } }