#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for(ll x = (s); (x) <= (t); (x)++) #define per(x, s, t) for(ll x = (s); (x) >= (t); (x)--) #define reps(x, s) for(llint x = 0; (x) < (ll)(s).size(); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define sz(x) ((ll)(x).size()) #define ceil(x, y) (((x)+(y)-1) / (y)) #define all(x) (x).begin(),(x).end() #define outl(...) dump_func(__VA_ARGS__) #define outf(x) cout << fixed << setprecision(16) << (x) << endl #define inf 1e18 const double PI = 3.1415926535897932384626433; using namespace std; typedef long long llint; typedef long long ll; typedef pair P; struct edge{ ll to, cost; edge(){} edge(ll a, ll b){ to = a, cost = b;} }; const ll dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1}; const ll mod = 1000000007; //const ll mod = 998244353; struct mint{ ll x = 0; mint(ll y = 0){x = y; if(x < 0 || x >= mod) x = (x%mod+mod)%mod;} mint(const mint &ope) {x = ope.x;} mint operator-(){return mint(-x);} mint operator+(const mint &ope){return mint(x) += ope;} mint operator-(const mint &ope){return mint(x) -= ope;} mint operator*(const mint &ope){return mint(x) *= ope;} mint operator/(const mint &ope){return mint(x) /= ope;} mint& operator+=(const mint &ope){ x += ope.x; if(x >= mod) x -= mod; return *this; } mint& operator-=(const mint &ope){ x += mod - ope.x; if(x >= mod) x -= mod; return *this; } mint& operator*=(const mint &ope){ x *= ope.x, x %= mod; return *this; } mint& operator/=(const mint &ope){ ll n = mod-2; mint mul = ope; while(n){ if(n & 1) *this *= mul; mul *= mul; n >>= 1; } return *this; } mint inverse(){return mint(1) / *this;} bool operator ==(const mint &ope){return x == ope.x;} bool operator !=(const mint &ope){return x != ope.x;} bool operator <(const mint &ope){return x < ope.x;} }; mint modpow(mint a, ll n){ if(n == 0) return mint(1); if(n % 2) return a * modpow(a, n-1); else return modpow(a*a, n/2); } istream& operator >>(istream &is, mint &ope){ ll t; is >> t, ope.x = t; return is; } ostream& operator <<(ostream &os, mint &ope){return os << ope.x;} ostream& operator <<(ostream &os, const mint &ope){return os << ope.x;} vector fact, fact_inv; void make_fact(int n){ fact.resize(n+1), fact_inv.resize(n+1); fact[0] = mint(1); rep(i, 1, n) fact[i] = fact[i-1] * mint(i); fact_inv[n] = fact[n].inverse(); per(i, n-1, 0) fact_inv[i] = fact_inv[i+1] * mint(i+1); } mint comb(ll n, ll k){ if(n < 0 || k < 0 || n < k) return mint(0); return fact[n] * fact_inv[k] * fact_inv[n-k];} mint perm(ll n, ll k){ return comb(n, k) * fact[k]; } vector prime, pvec; void make_prime(int n){ prime.resize(n+1); rep(i, 2, n){ if(prime[i]) continue; for(int j = i; j <= n; j+=i) prime[j] = i; } rep(i, 2, n) if(prime[i] == i) pvec.push_back(i); } bool exceed(ll x, ll y, ll m){return x >= m / y + 1;} void mark(){ cout << "*" << endl; } void yes(){ cout << "YES" << endl; } void no(){ cout << "NO" << endl; } ll sgn(ll x){ if(x > 0) return 1; if(x < 0) return -1; return 0;} ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);} ll lcm(ll a, ll b){return a/gcd(a, b)*b;} ll digitnum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret++; return ret;} ll digitsum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret += x % b; return ret;} string lltos(ll x){string ret; for(;x;x/=10) ret += x % 10 + '0'; reverse(ret.begin(), ret.end()); return ret;} ll stoll(string &s){ll ret = 0; for(auto c : s) ret *= 10, ret += c - '0'; return ret;} template void uniq(T &vec){ sort(vec.begin(), vec.end()); vec.erase(unique(vec.begin(), vec.end()), vec.end());} template pair& operator+=(pair &s, const pair &t){ s.first += t.first, s.second += t.second; return s; } template pair& operator-=(pair &s, const pair &t){ s.first -= t.first, s.second -= t.second; return s; } template pair operator+(const pair &s, const pair &t){ return pair(s.first+t.first, s.second+t.second); } template pair operator-(const pair &s, const pair &t){ return pair(s.first-t.first, s.second-t.second); } template ostream& operator << (ostream& os, vector& vec) { for(int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template ostream& operator << (ostream& os, deque& deq) { for(int i = 0; i < deq.size(); i++) os << deq[i] << (i + 1 == deq.size() ? "" : " "); return os; } template ostream& operator << (ostream& os, pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator << (ostream& os, const pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator << (ostream& os, map& map_var) { for(typename map::iterator itr = map_var.begin(); itr != map_var.end(); itr++) { os << "(" << itr->first << ", " << itr->second << ")"; itr++; if(itr != map_var.end()) os << ","; itr--; } return os; } template ostream& operator << (ostream& os, set& set_var) { for(typename set::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--; } return os; } template ostream& operator << (ostream& os, multiset& set_var) { for(typename multiset::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--; } return os; } template void outa(T a[], ll s, ll t){for(ll i = s; i <= t; i++){ cout << a[i]; if(i < t) cout << " ";}cout << endl;} void dump_func(){cout << endl;} template void dump_func(Head &&head, Tail &&... tail) { cout << head; if(sizeof...(Tail) > 0) cout << " "; dump_func(std::move(tail)...); } struct HLD{ int V, logV; vector

mp; map mp2; vector

parent; //subtree of v is [pre_order[v], back_order[v]] vector pre_order; vector back_order; int order; int global_id, local_id; vector size, depth; vector > prev; HLD(){} void predfs(vector G[], int v, int p, int d) { size[v] = 1, depth[v] = d, prev[v][0] = p; for(int i = 0; i < G[v].size(); i++){ if(G[v][i] == p) continue; predfs(G, G[v][i], v, d+1); size[v] += size[G[v][i]]; } } void maindfs(vector G[], int v, int p) { mp[v] = make_pair(global_id, local_id); mp2[make_pair(global_id, local_id)] = v; pre_order[v] = ++order; if(G[v].size() == 1 && G[v][0] == p){ back_order[v] = order; return; } vector

vec; for(int i = 0; i < G[v].size(); i++){ if(G[v][i] == p) continue; vec.push_back(make_pair(size[G[v][i]], G[v][i])); } sort(vec.rbegin(), vec.rend()); local_id++; if(vec.size() >= 1) maindfs(G, vec[0].second, v); for(int i = 1; i < vec.size(); i++){ parent.push_back(mp[v]); global_id++, local_id = 0; maindfs(G, vec[i].second, v); } back_order[v] = order; } int getLCA(int u, int v){ int x = u, y = v; if(depth[y] > depth[x]) swap(x, y); for(int i = logV-1; i >= 0; i--){ if(depth[x] - (1<= depth[y]) x = prev[x][i]; } if(x == y) return x; for(int i = logV-1; i >= 0; i--){ if(prev[x][i] != prev[y][i]){ x = prev[x][i]; y = prev[y][i]; } } x = prev[x][0]; return x; } void pathcalc(int v, int lca, vector > &dest) { int gid = mp[v].first, lid = mp[v].second; int Gid = mp[lca].first, Lid = mp[lca].second; while(Gid != gid){ dest.push_back(make_pair(gid, make_pair(0, lid))); int ngid = parent[gid].first, nlid = parent[gid].second; gid = ngid, lid = nlid; } dest.push_back(make_pair(gid, make_pair(Lid, lid))); } void init(vector G[], int V) // The tree must be undirected and 1-indexed. { this->V = V, logV = 0; for(int t = V; t; t/=2) logV++; prev.resize(V+1); for(int i = 0; i <= V; i++) prev[i].resize(logV); size.resize(V+1), depth.resize(V+1); predfs(G, 1, 0, 0); prev[0][0] = 0; for(int i = 1; i < logV; i++){ for(int j = 1; j <= V; j++){ prev[j][i] = prev[prev[j][i-1]][i-1]; } } mp.resize(V+1), mp2.clear(); parent.clear(), parent.push_back(make_pair(-1, -1)); pre_order.resize(V+1), back_order.resize(V+1); global_id = local_id = 0, order = 0; maindfs(G, 1, 0); } void path(int u, int v, vector > &dest) { dest.clear(); int lca = getLCA(u, v); pathcalc(u, lca, dest); pathcalc(v, lca, dest); pair p = make_pair(mp[lca].first, make_pair(mp[lca].second, mp[lca].second)); for(int i = 0; i < dest.size(); i++){ if(dest[i] == p){ dest.erase(dest.begin()+i); return ; } } } void getPath(int u, int v, vector

&dest) //transform an u-v path into intervals[l, r] on segtree. { vector > src; path(u, v, src); dest.clear(); for(int i = 0; i < src.size(); i++){ int u = mp2[make_pair(src[i].first, src[i].second.first)], v = mp2[make_pair(src[i].first, src[i].second.second)]; dest.push_back(make_pair(pre_order[u], pre_order[v])); } } }; struct SegTree{ typedef ll SEG; int size; vector seg; SegTree(){} SegTree(int size){ this->size = size; seg.resize(1<<(size+1)); } SEG Ident(){ //identity element return 0; } SEG ope(SEG a, SEG b){ //operator return a^b; } void init() { for(int i = 0; i < (1<<(size+1)); i++) seg[i] = Ident(); } void update(int i, SEG val) { i += (1 << size); seg[i] = val; while(i > 1){ i /= 2; seg[i] = ope(seg[i*2], seg[i*2+1]); } } SEG query(int a, int b, int k, int l, int r) { if(b < l || r < a) return Ident(); if(a <= l && r <= b) return seg[k]; SEG lval = query(a, b, k*2, l, (l+r)/2); SEG rval = query(a, b, k*2+1, (l+r)/2+1, r); return ope(lval, rval); } SEG query(int a, int b) { if(a > b) return Ident(); return query(a, b, 1, 0, (1< G[100005]; HLD hld; SegTree seg(17); int main(void) { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> Q; rep(i, 1, n) cin >> c[i]; ll u, v; rep(i, 1, n-1){ cin >> u >> v; G[u].push_back(v); G[v].push_back(u); } hld.init(G, n); seg.init(); rep(i, 1, n) seg.update(hld.pre_order[i], c[i]); ll t, x, y; rep(i, 1, Q){ cin >> t >> x >> y; if(t == 1){ ll z = seg.query(hld.pre_order[x], hld.pre_order[x]) ^ y; seg.update(hld.pre_order[x], z); } else outl(seg.query(hld.pre_order[x], hld.back_order[x])); } return 0; }