#include "bits/stdc++.h" #include #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define SZ(x) ((lint)(x).size()) #define FOR(i, begin, end) for(lint i=(begin),i##_end_=(end);i=i##_begin_;--i) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) #define endk '\n' using namespace std; typedef unsigned long long _ulong; typedef long long int lint; typedef long double ld; typedef pair plint; typedef pair pld; struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; template auto add = [](T a, T b) -> T { return a + b; }; template auto f_max = [](T a, T b) -> T { return max(a, b); }; template auto f_min = [](T a, T b) -> T { return min(a, b); }; template using V = vector; using Vl = V; using VVl = V; template< typename T > ostream& operator<<(ostream& os, const vector< T >& v) { for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : ""); return os; } template< typename T >istream& operator>>(istream& is, vector< T >& v) { for (T& in : v) is >> in; return is; } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template T div_floor(T a, T b) { if (b < 0) a *= -1, b *= -1; return a >= 0 ? a / b : (a + 1) / b - 1; } template T div_ceil(T a, T b) { if (b < 0) a *= -1, b *= -1; return a > 0 ? (a - 1) / b + 1 : a / b; } template struct rec { F f; rec(F&& f_) : f(std::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; lint gcd(lint a, lint b) { if (b == 0) return a; else return gcd(b, a % b); } lint digit(lint a) { return (lint)log10(a); } lint e_dist(plint a, plint b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); } lint m_dist(plint a, plint b) { return abs(a.first - b.first) + abs(a.second - b.second); } bool check_overflow(lint a, lint b, lint limit) { if (b == 0) return false; return a > limit / b; } // a * b > c => true void Worshall_Floyd(VVl& g) { REP(k, SZ(g)) REP(i, SZ(g)) REP(j, SZ(g)) chmin(g[i][j], g[i][k] + g[k][j]); } const lint MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 1e18; lint dx[8] = { -1, 1, 0, 0, 1, -1, 1, -1 }, dy[8] = { 0, 0, 1, -1, -1, -1, 1, 1 }; bool YN(bool flag) { cout << (flag ? "YES" : "NO") << endk; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << endl; return flag; } struct Edge { lint from, to; string cost; Edge() { } Edge(lint u, lint v, string c) { cost = c; from = u; to = v; } bool operator<(const Edge& e) const { if (SZ(cost) != SZ(e.cost)) return SZ(cost) < SZ(e.cost); else return cost < e.cost; } }; struct WeightedEdge { lint to; lint cost; WeightedEdge(lint v, lint c) { to = v; cost = c; } bool operator<(const WeightedEdge& e) const { return cost < e.cost; } }; using WeightedGraph = V>; typedef pair tlint; typedef pair qlint; typedef pair valstr; struct BinaryIndexedTree { int n; int b; vector bit; BinaryIndexedTree(int n_) : n(n_ + 1), bit(n, 0) {} void add(int i, lint x) { for (int idx = i; idx < n; idx += (idx & -idx)) { bit[idx] += x; } } lint sum(int i) { lint s = 0; for (int idx = i; idx > 0; idx -= (idx & -idx)) { s += bit[idx]; } return s; } int lower_bound(lint w) { if (w <= 0) { return 0; } else { int x = 0, r = 1; while (r < n) r = r << 1; for (int len = r; len > 0; len = len >> 1) { if (x + len < n && bit[x + len] < w) { w -= bit[x + len]; x += len; } } return x; } } void show() { for (int i = 0; i < n - 1; i++) { cout << sum(i) - sum(i - 1) << " "; } cout << endk; } }; struct ExtendBinaryIndexedTree { public: ExtendBinaryIndexedTree(int _n) { init(_n); } //半開区間[l, r) void add(int l, int r, lint x) { add_sub(0, l, -x * (l - 1)); add_sub(0, r, x * (r - 1)); add_sub(1, l, x); add_sub(1, r, -x); } //区間[0, i) lint sum(int i) { return sum_sub(0, i) + sum_sub(1, i) * i; } void show() { for (int i = 0; i < n - 1; i++) { cout << sum(i + 1) - sum(i) << " "; } cout << endk; } private: int n; vector bit[2]; void init(int _n) { n = _n + 1; bit[0].assign(n, 0); bit[1].assign(n, 0); } void add_sub(int p, int i, lint x) { for (int idx = i; idx < n; idx += (idx & -idx)) { bit[p][idx] += x; } } lint sum_sub(int p, int i) { lint s = 0; for (int idx = i; idx > 0; idx -= (idx & -idx)) { s += bit[p][idx]; } return s; } }; int main() { lint N, Q; cin >> N >> Q; Vl arr(N); cin >> arr; VVl to(N); REP(i, N - 1) { lint u, v; cin >> u >> v; u--; v--; to[u].push_back(v); to[v].push_back(u); } Vl in(N), out(N); lint idx = 2; auto dfs = [&](auto&& dfs, lint curr, lint prv) -> void { in[curr] = idx; idx++; for (lint nxt : to[curr]) { if (nxt == prv) continue; dfs(dfs, nxt, curr); } out[curr] = idx; idx++; }; dfs(dfs, 0, -1); V bit(10, BinaryIndexedTree(2 * N + 1)); REP(i, N) { REP(j, 10) { if ((arr[i] >> j) % 2) bit[j].add(in[i], 1); } } REP(i, Q) { lint t; cin >> t; lint x, y; cin >> x >> y; x--; if (t == 1) { REP(j, 10) if ((arr[x] >> j) % 2) bit[j].add(in[x], -1); arr[x] ^= y; REP(j, 10) if ((arr[x] >> j) % 2) bit[j].add(in[x], 1); } else { lint ans = 0; REP(j, 10) ans += (1 << j) * ((bit[j].sum(out[x]) - bit[j].sum(in[x] - 1)) % 2); cout << ans << endk; } } }