#pragma region Macros #pragma GCC optimize("O3") #include #define ll long long #define ld long double #define rep2(i, a, b) for(ll i = a; i <= b; ++i) #define rep(i, n) for(ll i = 0; i < n; ++i) #define rep3(i, a, b) for(ll i = a; i >= b; --i) #define pii pair #define pll pair #define pb push_back #define eb emplace_back #define vi vector #define vll vector #define vpi vector #define vpll vector #define overload2(_1, _2, name, ...) name #define vec(type, name, ...) vector name(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ IN(name) #define vv(type, name, h, ...) vector> name(h, vector(__VA_ARGS__)) #define VV(type, name, h, w) \ vector> name(h, vector(w)); \ IN(name) #define vvv(type, name, h, w, ...) vector>> name(h, vector>(w, vector(__VA_ARGS__))) #define fi first #define se second #define all(c) begin(c), end(c) #define ios ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) using namespace std; template using pq = priority_queue; template using pqg = priority_queue, greater>; #define Size(c) (int)(c).size() #define INT(...) \ int __VA_ARGS__; \ IN(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ IN(__VA_ARGS__) #define ULL(...) \ ull __VA_ARGS__; \ IN(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ IN(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ IN(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ IN(__VA_ARGS__) #define LD(...) \ ld __VA_ARGS__; \ IN(__VA_ARGS__) int scan() { return getchar(); } template void scan(T a) { cin >> a; } void scan(int &a) { cin >> a; } void scan(long long &a) { cin >> a; } void scan(char &a) { cin >> a; } void scan(double &a) { cin >> a; } void scan(long double &a) { cin >> a; } void scan(char a[]) { scanf("%s", a); } void scan(string &a) { cin >> a; } template void scan(vector &); template void scan(array &); template void scan(pair &); template void scan(T (&)[size]); template void scan(vector &a) { for(auto &i : a) scan(i); } template void scan(deque &a) { for(auto &i : a) scan(i); } template void scan(array &a) { for(auto &i : a) scan(i); } template void scan(pair &p) { scan(p.first); scan(p.second); } template void scan(T (&a)[size]) { for(auto &i : a) scan(i); } template void scan(T &a) { cin >> a; } void IN() {} template void IN(Head &head, Tail &...tail) { scan(head); IN(tail...); } string stin() { string s; cin >> s; return s; } template inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } vi iota(int n) { vi a(n); iota(all(a), 0); return a; } template void UNIQUE(vector &x) { sort(all(x)); x.erase(unique(all(x)), x.end()); } int in() { int x; cin >> x; return x; } ll lin() { unsigned long long x; cin >> x; return x; } void print() { putchar(' '); } void print(bool a) { cout << a; } void print(int a) { cout << a; } void print(long long a) { cout << a; } void print(char a) { cout << a; } void print(string &a) { cout << a; } void print(double a) { cout << a; } template void print(const vector &); template void print(const array &); template void print(const pair &p); template void print(const T (&)[size]); template void print(const vector &a) { if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end();) { cout << " "; print(*i); } cout << endl; } template void print(const deque &a) { if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end();) { cout << " "; print(*i); } } template void print(const array &a) { print(a[0]); for(auto i = a.begin(); ++i != a.end();) { cout << " "; print(*i); } } template void print(const pair &p) { cout << '('; print(p.first); cout << ","; print(p.second); cout << ')'; } template void print(set &x) { for(auto e : x) print(e), cout << " "; cout << endl; } template void print(multiset &x) { for(auto e : x) print(e), cout << " "; cout << endl; } template void print(const T (&a)[size]) { print(a[0]); for(auto i = a; ++i != end(a);) { cout << " "; print(*i); } } template void print(const T &a) { cout << a; } int out() { putchar('\n'); return 0; } template int out(const T &t) { print(t); putchar('\n'); return 0; } template int out(const Head &head, const Tail &...tail) { print(head); putchar(' '); out(tail...); return 0; } ll gcd(ll a, ll b) { while(b) { ll c = b; b = a % b; a = c; } return a; } ll lcm(ll a, ll b) { if(!a || !b) return 0; return a * b / gcd(a, b); } vector factor(ll x) { vector ans; for(ll i = 2; i * i <= x; i++) if(x % i == 0) { ans.push_back({i, 1}); while((x /= i) % i == 0) ans.back().second++; } if(x != 1) ans.push_back({x, 1}); return ans; } vector divisor(int x) { vector ans; for(int i = 1; i * i <= x; i++) if(x % i == 0) { ans.pb(i); if(i * i != x) ans.pb(x / i); } return ans; } template void zip(vector &x) { vector y = x; sort(all(y)); for(int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); } } int popcount(ll x) { return __builtin_popcountll(x); } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int rnd(int n) { return uniform_int_distribution(0, n - 1)(rng); } template void shuffle(vector &v) { rep3(i, v.size() - 1, 1) { swap(v[i], v[rnd(i)]); } } #define endl '\n' vector YES{"NO", "YES"}; vector Yes{"No", "Yes"}; vector yes{"no", "yes"}; #ifdef _LOCAL #undef endl #define debug(x) \ cout << #x << ": "; \ print(x); \ cout << endl; void err() {} template void err(const T &t) { print(t); cout << " "; } template void err(const Head &head, const Tail &...tail) { print(head); putchar(' '); out(tail...); } #else #define debug(x) template void err(const T &...) {} #endif template struct edge { int from, to; T cost; int id; edge(int to, T cost) : from(-1), to(to), cost(cost) {} edge(int from, int to, T cost) : from(from), to(to), cost(cost) {} // edge(int from,int to,T cost,int id):from(from),to(to),cost(cost),id(id){} edge &operator=(const int &x) { to = x; return *this; } operator int() const { return to; } }; template using Edges = vector>; template using WeightedTree = vector>; template using Edges = vector>; template using WeightedGraph = vector>; template using Matrix = vector>; using Graph = vector>; using tree = vector>; tree getTree(int n, int offset = 1) { tree res(n); for(int i = 0; i < n - 1; i++) { int a, b; cin >> a >> b; a -= offset, b -= offset; res[a].emplace_back(b); res[b].emplace_back(a); } return res; } template WeightedTree getWeightedTree(int n, int offset = 1) { WeightedTree res(n); for(int i = 0; i < n - 1; i++) { int a, b; cin >> a >> b; a -= offset, b -= offset; T c; cin >> c; res[a].emplace_back(b, c); res[b].emplace_back(a, c); } return res; } Graph getGraph(int n, int m, int offset = 1) { Graph res(n); for(int i = 0; i < m; ++i) { int a, b; cin >> a >> b; a -= offset, b -= offset; res[a].emplace_back(b); res[b].emplace_back(a); } return res; } template WeightedGraph getWeightedGraph(int n, int m, int offset = 1) { WeightedGraph res(n); for(int i = 0; i < m; ++i) { int a, b; cin >> a >> b; T c; cin >> c; res[a].emplace_back(b, c); res[b].emplace_back(a, c); } } struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(15); } } setup_io; #pragma endregion // _________コーディングはここから!!___________ template struct HLDecomposition { G &g; vector sz, in, out, head, rev, par; HLDecomposition(G &g) : g(g), sz(g.size()), in(g.size()), out(g.size()), head(g.size()), rev(g.size()), par(g.size()) {} void dfs_sz(int idx, int p) { par[idx] = p; sz[idx] = 1; if(g[idx].size() and g[idx][0] == p) swap(g[idx][0], g[idx].back()); for(auto &to : g[idx]) { if(to == p) continue; dfs_sz(to, idx); sz[idx] += sz[to]; if(sz[g[idx][0]] < sz[to]) swap(g[idx][0], to); } } void dfs_hld(int idx, int par, int ×) { in[idx] = times++; rev[in[idx]] = idx; for(auto &to : g[idx]) { if(to == par) continue; head[to] = (g[idx][0] == to ? head[idx] : to); dfs_hld(to, idx, times); } out[idx] = times; } template void dfs_hld(int idx, int par, int ×, vector &v) { in[idx] = times++; rev[in[idx]] = idx; for(auto &to : g[idx]) { if(to == par) { v[in[idx]] = to.cost; continue; } head[to] = (g[idx][0] == to ? head[idx] : to); dfs_hld(to, idx, times, v); } out[idx] = times; } template void dfs_hld(int idx, int par, int ×, vector &v, vector &a) { in[idx] = times++; rev[in[idx]] = idx; v[in[idx]] = a[idx]; for(auto &to : g[idx]) { if(to == par) continue; head[to] = (g[idx][0] == to ? head[idx] : to); dfs_hld(to, idx, times, v, a); } out[idx] = times; } void build() { dfs_sz(0, -1); int t = 0; dfs_hld(0, -1, t); } template vector build() { dfs_sz(0, -1); int t = 0; vector res(g.size()); dfs_hld(0, -1, t, res); return res; } // 頂点属性で build する場合 template vector build(vector &a) { dfs_sz(0, -1); int t = 0; vector res(g.size()); dfs_hld(0, -1, t, res, a); return res; } int la(int v, int k) { while(1) { int u = head[v]; if(in[v] - k >= in[u]) return rev[in[v] - k]; k -= in[v] - in[u] + 1; v = par[u]; } } int lca(int u, int v) { for(;; v = par[head[v]]) { if(in[u] > in[v]) swap(u, v); if(head[u] == head[v]) return u; } } template T query(int u, int v, const T &e, const Q &q, const F &f, bool edge = false) { T l = e, r = e; for(;; v = par[head[v]]) { if(in[u] > in[v]) swap(u, v), swap(l, r); if(head[u] == head[v]) break; l = f(q(in[head[v]], in[v] + 1), l); } return f(f(q(in[u] + edge, in[v] + 1), l), r); } template T query(int u, int v, const T &e, const Q &q1, const Q2 &q2, const F &f, bool edge = false) { T l = e, r = e; for(;;) { if(head[u] == head[v]) break; if(in[u] > in[v]) { l = f(l, q2(in[head[u]], in[u] + 1)); u = par[head[u]]; } else { r = f(q1(in[head[v]], in[v] + 1), r); v = par[head[v]]; } } if(in[u] > in[v]) return f(f(l, q2(in[v] + edge, in[u] + 1)), r); return f(f(l, q1(in[u] + edge, in[v] + 1)), r); } template void add(int u, int v, const Q &q, bool edge = false) { for(;; v = par[head[v]]) { if(in[u] > in[v]) swap(u, v); if(head[u] == head[v]) break; q(in[head[v]], in[v] + 1); } q(in[u] + edge, in[v] + 1); } }; template struct SegmentTree { using F = function; #define clz(x) __builtin_clz(x) int sz; vector seg; const F f; const T unit; SegmentTree(int n, const F f, const T &unit) : f(f), unit(unit), sz(n - 1 ? 1 << (32 - clz(n - 1)) : 1) { seg.assign(2 * sz, unit); } SegmentTree(vector &a, const F f, const T &unit) : f(f), sz((int)a.size() > 1 ? 1 << (32 - clz(a.size() - 1)) : 1), unit(unit) { int n0 = a.size(); seg.assign(2 * sz, unit); for(int i = 0; i < n0; ++i) seg[i + sz] = a[i]; for(int i = sz - 1; i > 0; --i) seg[i] = f(seg[i << 1], seg[(i << 1) | 1]); } T query(int l, int r) { T x = unit; for(int d = r - l; d >= 1; d = r - l) { int L = l | ((1U << 31) >> clz(d)); int k = __builtin_ctz(L); x = f(x, seg[(sz | l) >> k]); l += L & (-L); } return x; } void update(int i, T x) { int k = i + sz; seg[k] = x; for(k = k >> 1; k > 0; k >>= 1) { seg[k] = f(seg[k << 1], seg[(k << 1) | 1]); } } void add(int i, T x) { int k = i + sz; seg[k] = f(seg[k], x); for(k = k >> 1; k > 0; k >>= 1) { seg[k] = f(seg[k << 1], seg[(k << 1) | 1]); } } T operator[](int k) const { return seg[sz + k]; } }; template struct IO { char reader[sz], writer[sz]; char *now, *now2 = writer; IO() { reader[fread(reader, sizeof(char), sizeof(char) * sz, stdin)]; now = reader; } inline T read() { while(*now && *now <= 32) now++; if(*now == '-') { now++; T res = 0; while('0' <= *now and *now <= '9') { res = res * 10 + *now++ - '0'; } return -res; } else { T res = 0; while('0' <= *now and *now <= '9') { res = res * 10 + *now++ - '0'; } return res; } } inline string read_str() { string res; while(*now and *now != '\n' and *now != ' ') res += *now++; now++; return res; } inline void write(T x, char margin = ' ') { if(x == 0) { putchar('0'); putchar(margin); return; } if(x < 0) { putchar('-'); x = -x; } while(x) { *now2 = '0' + x % 10; now2++; x /= 10; } do { now2--; putchar(*now2); } while(now2 != writer); putchar(margin); } inline void write_str(string s, char margin = ' ') { for(auto c : s) putchar(c); putchar(margin); } }; IO io; main() { int n = io.read(), q = io.read(); vll a(n); rep(i, n) a[i] = io.read(); tree g(n); rep(i, n - 1) { int x = io.read() - 1, y = io.read() - 1; g[x].eb(y), g[y].eb(x); } HLDecomposition hld(g); auto b = hld.build(a); SegmentTree seg( b, [](ll x, ll y) { return x ^ y; }, 0LL); while(q--) { int id = io.read(); if(id == 2) { int x = io.read() - 1, y = io.read(); io.write(seg.query(hld.in[x], hld.out[x]), '\n'); } else { int x = io.read() - 1, a = io.read(); seg.update(hld.in[x], a ^ seg[hld.in[x]]); } } }