#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; const int INF = 0x3f3f3f3f; const ll LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // const int MOD = 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; const int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); } } iosetup; using CostType = int; struct Edge { int src, dst; CostType cost; Edge(int src, int dst, CostType cost = 0) : src(src), dst(dst), cost(cost) {} inline bool operator<(const Edge &x) const { return cost != x.cost ? cost < x.cost : dst != x.dst ? dst < x.dst : src < x.src; } inline bool operator<=(const Edge &x) const { return !(x < *this); } inline bool operator>(const Edge &x) const { return x < *this; } inline bool operator>=(const Edge &x) const { return !(*this < x); } }; struct LCADoubling { vector depth; vector dist; LCADoubling(const vector> &graph) : graph(graph) { n = graph.size(); depth.resize(n); dist.resize(n); while ((1 << table_h) <= n) ++table_h; parent.resize(table_h, vector(n)); } void build(int root = 0) { dfs(-1, root, 0, 0); for (int i = 0; i + 1 < table_h; ++i) REP(ver, n) { parent[i + 1][ver] = (parent[i][ver] == -1 ? -1 : parent[i][parent[i][ver]]); } } int query(int u, int v) { if (depth[u] > depth[v]) swap(u, v); REP(i, table_h) { if ((depth[v] - depth[u]) >> i & 1) v = parent[i][v]; } if (u == v) return u; for (int i = table_h - 1; i >= 0; --i) { if (parent[i][u] != parent[i][v]) { u = parent[i][u]; v = parent[i][v]; } } return parent[0][u]; } CostType distance(int u, int v) { return dist[u] + dist[v] - dist[query(u, v)] * 2; } private: int n, table_h = 1; vector> graph; vector> parent; void dfs(int par, int ver, int now_depth, CostType now_dist) { depth[ver] = now_depth; dist[ver] = now_dist; parent[0][ver] = par; for (const Edge &e : graph[ver]) { if (e.dst != par) dfs(ver, e.dst, now_depth + 1, now_dist + e.cost); } } }; template struct SegmentTree { using Fn = function; SegmentTree(int sz, Fn fn, const Monoid UNITY) : fn(fn), UNITY(UNITY) { init(sz); dat.assign(n << 1, UNITY); } SegmentTree(const vector &a, Fn fn, const Monoid UNITY) : fn(fn), UNITY(UNITY) { int a_sz = a.size(); init(a_sz); dat.resize(n << 1); REP(i, a_sz) dat[i + n] = a[i]; for (int i = n - 1; i > 0; --i) dat[i] = fn(dat[i << 1], dat[(i << 1) + 1]); } void update(int node, Monoid val) { node += n; dat[node] = val; while (node >>= 1) dat[node] = fn(dat[node << 1], dat[(node << 1) + 1]); } Monoid query(int left, int right) { Monoid l_res = UNITY, r_res = UNITY; for (left += n, right += n; left < right; left >>= 1, right >>= 1) { if (left & 1) l_res = fn(l_res, dat[left++]); if (right & 1) r_res = fn(dat[--right], r_res); } return fn(l_res, r_res); } Monoid operator[](const int idx) const { return dat[idx + n]; } private: int n = 1; Fn fn; const Monoid UNITY; vector dat; void init(int sz) { while (n < sz) n <<= 1; } }; int main() { int n, k, q; cin >> n >> k >> q; vector c(n), a(k); REP(i, n) cin >> c[i]; REP(i, k) cin >> a[i], --a[i]; // REP(i, k) cout << a[i] << " \n"[i + 1 == k]; vector> graph(n); REP(_, n - 1) { int e, f; cin >> e >> f; --e; --f; graph[f].emplace_back(f, e, 1); } LCADoubling lca(graph); lca.build(0); SegmentTree seg(a, [&](int l, int r) { if (l == -1) return r; if (r == -1) return l; return lca.query(l, r); }, -1); vector dp(n, 0); function dfs = [&](int ver) { chmax(dp[ver], c[ver]); for (const Edge &e : graph[ver]) { chmax(dp[e.dst], dp[ver]); dfs(e.dst); } }; dfs(0); while (q--) { int t; cin >> t; if (t == 1) { int x, y; cin >> x >> y; --x; --y; seg.update(x, y); } else if (t == 2) { int l, r; cin >> l >> r; --l; --r; cout << dp[seg.query(l, r + 1)] << '\n'; } } return 0; }