#include using namespace std; using LL = long long int; #define incID(i, l, r) for(int i = (l) ; i < (r); ++i) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); --i) #define incII(i, l, r) for(int i = (l) ; i <= (r); ++i) #define decII(i, l, r) for(int i = (r) ; i >= (l); --i) #define inc(i, n) incID(i, 0, n) #define dec(i, n) decID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec1(i, n) decII(i, 1, n) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define FR front() #define BA back() #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() auto setmin = [](auto & a, auto b) { return (b < a ? a = b, true : false); }; auto setmax = [](auto & a, auto b) { return (b > a ? a = b, true : false); }; auto setmineq = [](auto & a, auto b) { return (b <= a ? a = b, true : false); }; auto setmaxeq = [](auto & a, auto b) { return (b >= a ? a = b, true : false); }; #define SI(v) static_cast(v.size()) #define RF(e, v) for(auto & e: v) #define until(e) while(! (e)) #define if_not(e) if(! (e)) #define ef else if #define UR assert(false) #define IN(T, ...) T __VA_ARGS__; IN_(__VA_ARGS__); void IN_() { }; template void IN_(T & a, U & ... b) { cin >> a; IN_(b ...); }; template void OUT(T && a) { cout << a << endl; } template void OUT(T && a, U && ... b) { cout << a << " "; OUT(b ...); } // ---- ---- #define bit(b, i) (((b) >> (i)) & 1) #define PC __builtin_popcountll #define BL(a) (a ? 64 - __builtin_clzll(a) : 0) class Forest { private: int n, B; vector> g, p; vector h, f; bool ok; void dfs(int v, int pp, int hh) { if(f[v] != 0) { return; } f[v] = 1; p[v][0] = pp; h[v] = hh; RF(e, g[v]) { dfs(e, v, hh + 1); } } public: Forest(int nn = 0) { init(nn); } void init(int nn) { n = nn; B = 0; while((1 << B) < n) { B++; } g = vector>(n); p = vector>(n, vector(B + 1)); h = vector(n); f = vector(n); ok = false; } void add(int a, int b) { assert(! ok); assert(inID(a, 0, n)); assert(inID(b, 0, n)); g[a].PB(b); g[b].PB(a); } void calc(const vector & root = { }) { assert(! ok); RF(e, root) { dfs(e, e, 0); } inc(i, n) { dfs(i, i, 0); } inc(k, B) { inc(i, n) { p[i][k + 1] = p[p[i][k]][k]; } } ok = true; } bool same(int a, int b) { assert(ok); assert(inID(a, 0, n)); assert(inID(b, 0, n)); return (p[a][B] == p[b][B]); } int lca(int a, int b) { if(! same(a, b)) { return -1; } int d = abs(h[a] - h[b]); if(h[a] > h[b]) { a = up(a, d); } if(h[a] < h[b]) { b = up(b, d); } assert(h[a] == h[b]); if(a == b) { return a; } dec(k, B) { if(p[a][k] != p[b][k]) { a = p[a][k]; b = p[b][k]; } } assert(a != b && p[a][0] == p[b][0]); return p[a][0]; } int dist(int a, int b) { if(! same(a, b)) { return -1; } return h[a] + h[b] - 2 * h[lca(a, b)]; } int up(int a, int x) { assert(ok); assert(inID(a, 0, n)); if(x > h[a]) { return -1; } inc(k, B) { if(bit(x, k) == 1) { a = p[a][k]; } } return a; } const vector> & get_g() { return g; } const vector> & get_p() { return p; } const vector & get_h() { return h; } }; // ---- template class SegmentTree { private: int n, s; vector a; function f; T e; bool ok; public: SegmentTree() { n = 0; } SegmentTree(int nn, function ff, T ee) { init(nn, ff, ee); } void init(int nn, function ff, T ee) { n = nn; f = ff; e = ee; s = 1; while(s < n) { s *= 2; } a = vector(2 * s, e); ok = true; } void shift(int & p) { assert(inID(p, 0, n)); p += s; } void apply(int p, function g) { shift(p); g(a[p]); while(p > 1) { p /= 2; a[p] = f(a[2 * p], a[2 * p + 1]); } } T fold_ID(int l, int r) { assert(ok); assert(inII(l, 0, n)); l += s; assert(inII(r, 0, n)); r += s; r--; T x = e, y = e; while(l <= r) { if(l % 2 == 1) { x = f(x, a[l]); l++; } if(r % 2 == 0) { y = f(a[r], y); r--; } l /= 2; r /= 2; } return f(x, y); } T fold_II(int l, int r) { return fold_ID(l + 0, r + 1); } T fold_CI(int l, int r) { return fold_ID(l + 1, r + 1); } T fold_CD(int l, int r) { return fold_ID(l + 1, r + 0); } const T & operator[](int p) { shift(p); return a[p]; } T & ref(int p) { shift(p); ok = false; return a[p]; } void update() { dec(i, s) { a[i] = f(a[2 * i], a[2 * i + 1]); } ok = true; } }; #define OP(s) [&](auto & A, auto & B) { return s; } #define AP(s) [&](auto & A) { s; } // ---- template istream & operator>>(istream & s, vector & v) { RF(e, v) { s >> e; } return s; } template ostream & operator<<(ostream & s, vector const & v) { inc(i, SI(v)) { s << (i == 0 ? "" : " ") << v[i]; } return s; } int main() { IN(int, n, k, Q); vector c(n); cin >> c; vector a(k); RF(e, a) { cin >> e; e--; } Forest tree(n); inc(i, n - 1) { IN(int, a, b); a--; b--; tree.add(a, b); } tree.calc(); auto f = [&](int x, int y) { if(x == -1 && y == -1) { return -1; } if(x == -1) { return y; } if(y == -1) { return x; } return tree.lca(x, y); }; SegmentTree st(k, f, -1); inc(i, k) { st.ref(i) = a[i]; } st.update(); function dfs = [&](int v, int p) { if(p != -1) { setmax(c[v], c[p]); } RF(e, tree.get_g()[v]) { if(e == p) { continue; } dfs(e, v); } }; dfs(0, -1); inc(q, Q) { IN(int, t, x, y); x--; y--; if(t == 1) { a[x] = y; st.apply(x, AP(A = y)); } else { OUT(c[st.fold_II(x, y)]); } } }