#include #define REP_(i, a_, b_, a, b, ...) \ for (int i = (a), END_##i = (b); i < END_##i; ++i) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define ALL(x) std::begin(x), std::end(x) using i64 = long long; template inline bool chmax(T &a, U b) { return a < b and ((a = std::move(b)), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = std::move(b)), true); } template inline int ssize(const T &a) { return (int) std::size(a); } template std::istream &operator>>(std::istream &is, std::vector &a) { for (auto &x : a) is >> x; return is; } template std::ostream &operator<<(std::ostream &os, const std::pair &a) { return os << "(" << a.first << ", " << a.second << ")"; } template std::ostream &print_seq(const Container &a, std::string_view sep = " ", std::string_view ends = "\n", std::ostream &os = std::cout) { auto b = std::begin(a), e = std::end(a); for (auto it = std::begin(a); it != e; ++it) { if (it != b) os << sep; os << *it; } return os << ends; } template struct is_iterable : std::false_type {}; template struct is_iterable())), decltype(std::end(std::declval()))>> : std::true_type { }; template::value && !std::is_same::value && !std::is_same::value>> std::ostream &operator<<(std::ostream &os, const T &a) { return print_seq(a, ", ", "", (os << "{")) << "}"; } void print() { std::cout << "\n"; } template void print(const T &x) { std::cout << x << "\n"; } template void print(const Head &head, Tail... tail) { std::cout << head << " "; print(tail...); } void read_from_cin() {} template void read_from_cin(T &value, Ts &...args) { std::cin >> value; read_from_cin(args...); } #define INPUT(type, ...) \ type __VA_ARGS__; \ read_from_cin(__VA_ARGS__) #ifdef MY_DEBUG #include "debug_dump.hpp" #else #define DUMP(...) #endif using namespace std; vector cost; struct EulerTour { using G = vector>; const int n; // number of nodes const G &g; // Euler Tour on nodes. vector in; // index in the tour on entering the subtree of v vector out; // index in the tour on exiting the subtree of v vector depth; vector node_tour; vector depth_tour; vector cost_tour; explicit EulerTour(const G &g, int root = 0) : n((int) g.size()), g(g), in(n, -1), out(n, -1), depth(n, -1) { node_tour.reserve(n * 2); depth_tour.reserve(n * 2); depth[root] = 0; dfs(root, -1); } private: void dfs(int v, int p) { in[v] = int(node_tour.size()); if (p != -1) depth[v] = depth[p] + 1; node_tour.push_back(v); depth_tour.push_back(depth[v]); cost_tour.push_back(cost[v]); for (auto u : g[v]) { if (u == p) continue; dfs(u, v); } out[v] = int(node_tour.size()); } }; template struct SegTree { using T = typename Monoid::T; int n_; // number of valid leaves. int offset_; // where leaves start std::vector data_; // data size: 2*offset_ inline int size() const { return n_; } inline int offset() const { return offset_; } explicit SegTree(int n) : n_(n) { offset_ = 1; while (offset_ < n_) offset_ <<= 1; data_.assign(2 * offset_, Monoid::id()); } explicit SegTree(const std::vector &leaves) : n_(leaves.size()) { offset_ = 1; while (offset_ < n_) offset_ <<= 1; data_.assign(2 * offset_, Monoid::id()); for (int i = 0; i < n_; ++i) { data_[offset_ + i] = leaves[i]; } for (int i = offset_ - 1; i > 0; --i) { data_[i] = Monoid::op(data_[i * 2], data_[i * 2 + 1]); } } // Sets i-th value (0-indexed) to x. void set(int i, const T &x) { int k = offset_ + i; data_[k] = x; // Update its ancestors. while (k > 1) { k >>= 1; data_[k] = Monoid::op(data_[k * 2], data_[k * 2 + 1]); } } // Queries by [l,r) range (0-indexed, half-open interval). T fold(int l, int r) const { l = std::max(l, 0) + offset_; r = std::min(r, offset_) + offset_; T vleft = Monoid::id(), vright = Monoid::id(); for (; l < r; l >>= 1, r >>= 1) { if (l & 1) vleft = Monoid::op(vleft, data_[l++]); if (r & 1) vright = Monoid::op(data_[--r], vright); } return Monoid::op(vleft, vright); } T fold_all() const { return data_[1]; } // Returns i-th value (0-indexed). T operator[](int i) const { return data_[offset_ + i]; } friend std::ostream &operator<<(std::ostream &os, const SegTree &st) { os << "["; for (int i = 0; i < st.size(); ++i) { if (i != 0) os << ", "; const auto &x = st[i]; os << x; } return os << "]"; } }; struct XorOp { using T = unsigned; static T op(const T &x, const T &y) { return x ^ y; } static constexpr T id() { return 0; } }; int main() { ios_base::sync_with_stdio(false), cin.tie(nullptr); cout << std::fixed << std::setprecision(15); INPUT(int, n, Q); cost.resize(n); cin >> cost; DUMP(cost); vector> g(n); REP(i, n - 1) { INPUT(int, a, b); --a, --b; g[a].push_back(b); g[b].push_back(a); } EulerTour et(g); DUMP(n, et.cost_tour.size()); SegTree seg(et.cost_tour); REP(qi, Q) { DUMP(qi, seg); INPUT(unsigned, t, x, y); --x; if (t == 1) { int j = et.in[x]; seg.set(j, seg[j] ^ y); } else { assert(y == 0); int l = et.in[x], r = et.out[x]; auto ans = seg.fold(l, r); print(ans); } } }