#include #include // #include // using Bint = boost::multiprecision::cpp_int; #define REP(i, n) for(int i = 0;i < n;i++) #define ll long long using namespace std; typedef pair P; typedef pair LP; const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; const int INF = 1000000000; const ll LINF = 1000000000000000000;//1e18 const double PI = acos(-1.0); const double EPS = 1e-10; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } inline constexpr ll ceil_div(const ll a, const ll b) {return (a + b - 1) / b - !!((a + b - 1) % b < 0);}// return ceil(a/b) inline constexpr ll floor_div(const ll a, const ll b) {return a / b - !!(a % b < 0);}// return floor(a/b) /* ----------------------- DEBUG FUNCTION ---------------------------- */ #define DUMPOUT cerr void dump_function() { DUMPOUT << ' '; } void dump_function(bool a) { DUMPOUT << a; } void dump_function(int a) { DUMPOUT << a; } void dump_function(long long a) { DUMPOUT << a; } void dump_function(char a) { DUMPOUT << a; } void dump_function(string &a) { DUMPOUT << a; } void dump_function(double a) { DUMPOUT << a; } template void dump_function(const vector &); template void dump_function(const array &); template void dump_function(const pair &p); template void dump_function(const T (&)[size]); template void dump_function(const vector &a) { if(a.empty()) return; dump_function(a[0]); for(auto i = a.begin(); ++i != a.end();) { DUMPOUT << " "; dump_function(*i); } DUMPOUT << endl; } template void dump_function(const deque &a) { if(a.empty()) return; dump_function(a[0]); for(auto i = a.begin(); ++i != a.end();) { DUMPOUT << " "; dump_function(*i); } } template void dump_function(const array &a) { dump_function(a[0]); for(auto i = a.begin(); ++i != a.end();) { DUMPOUT << " "; dump_function(*i); } } template void dump_function(const pair &p) { DUMPOUT << '('; dump_function(p.first); DUMPOUT << ","; dump_function(p.second); DUMPOUT << ')'; } template void dump_function(set &x) { for(auto e : x) dump_function(e), DUMPOUT << " "; DUMPOUT << endl; } template void dump_function(multiset &x) { for(auto e : x) dump_function(e), DUMPOUT << " "; DUMPOUT << endl; } template void dump_function(const T (&a)[size]) { dump_function(a[0]); for(auto i = a; ++i != end(a);) { DUMPOUT << " "; dump_function(*i); } } template void dump_function(const T &a) { DUMPOUT << a; } int dump_out() { DUMPOUT << '\n'; return 0; } template int dump_out(const T &t) { dump_function(t); DUMPOUT << '\n'; return 0; } template int dump_out(const Head &head, const Tail &... tail) { dump_function(head); DUMPOUT << ' '; dump_out(tail...); return 0; } #ifdef DEBUG_ #define dump(x) \ DUMPOUT << #x << ": "; \ dump_function(x); \ DUMPOUT << endl; void dumps() {} template void dumps(const T &t) { dump_function(t); DUMPOUT << " "; } template void dumps(const Head &head, const Tail &... tail) { dump_function(head); DUMPOUT << ' '; dump_out(tail...); } #else #define dump(x) template void dumps(const T &...) {} #endif /* ----------------------- DEBUG FUNCTION ---------------------------- */ template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; } constexpr int getmod() const { return MOD; } constexpr Fp operator - () const noexcept { return val ? MOD - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b, swap(a, b); u -= t * v, swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr istream& operator >> (istream& is, Fp& x) noexcept { is >> x.val; x.val %= MOD; if (x.val < 0) x.val += MOD; return is; } friend constexpr ostream& operator << (ostream& os, const Fp& x) noexcept { return os << x.val; } friend constexpr Fp modpow(const Fp& r, long long n) noexcept { if (n == 0) return 1; auto t = modpow(r, n / 2); t = t * t; if (n & 1) t = t * r; return t; } friend constexpr Fp modinv(const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b, swap(a, b); u -= t * v, swap(u, v); } return Fp(u); } }; template struct BiCoef { vector fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int MOD = fact_[0].getmod(); for(int i = 2; i < n; i++){ fact_[i] = fact_[i-1] * i; inv_[i] = -inv_[MOD%i] * (MOD/i); finv_[i] = finv_[i-1] * inv_[i]; } } constexpr T nCr(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; int MOD = fact_[0].getmod(); if(n < MOD) return fact_[n] * finv_[k] * finv_[n-k]; // Lucasの定理 T ret = 1; while(n || k){ int _n = n % MOD, _k = k % MOD; n /= MOD; k /= MOD; ret *= nCr(_n, _k); } return ret; } constexpr T nPr(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[n-k]; } constexpr T nHr(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[n-k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; /* ----------------------------- MOD ----------------------------------- */ const int MOD = 1000000007; const int MOD2 = 998244353; using mint = Fp; // BiCoef bc; // using vec = vector; // using mat = vector; /* ----------------------------- MOD ----------------------------------- */ /* ----------------------- AtCoder Library ---------------------------- */ #include using namespace atcoder; /* ----------------------- AtCoder Library ---------------------------- */ class HLD{ void dfs_sz(int v, int p){ if(g[v].size() and g[v][0] == p) swap(g[v][0], g[v].back()); for(auto &to : g[v]){ if(to == p) continue; dfs_sz(to, v); sz[v] += sz[to]; if(sz[to] > sz[g[v][0]]) swap(to, g[v][0]); } } void dfs_hld(int v, int p, int &k){ par[v] = p; vid[v] = k++, inv[vid[v]] = v; for(auto to : g[v]){ if(to == p) continue; head[to] = (to == g[v][0] ? head[v] : to); dfs_hld(to, v, k); } } public: int n; vector> g; vector vid, head, sz, par, inv; HLD() {} HLD(int sz) : n(sz), g(n), vid(n, -1), head(n), sz(n, 1), par(n), inv(n) {} void add_edge(int u, int v){ g[u].emplace_back(v); g[v].emplace_back(u); } void build(vector rs=vector(1,0)){ int k = 0; for(int r : rs){ dfs_sz(r, -1); head[r] = r; dfs_hld(r, -1, k); } } // パスu-vの頂点属性クエリ 区間[l, r) を返す vector> for_each(int u, int v){ vector> res; while(1){ if(vid[u] > vid[v]) swap(u, v); res.emplace_back(max(vid[head[v]], vid[u]), vid[v] + 1); if(head[u] != head[v]) v = par[head[v]]; else break; } return res; } // パスu-vの辺属性クエリ 区間[l, r)を返す vector> for_each_edge(int u, int v){ vector> res; while(1){ if(vid[u] > vid[v]) swap(u, v); if(head[u] != head[v]){ res.emplace_back(vid[head[v]], vid[v] + 1); v = par[head[v]]; } else{ if(u != v) res.emplace_back(vid[u] + 1, vid[v] + 1); break; } } return res; } // 頂点uの部分木に対する頂点属性クエリ 区間[l, r) を返す pair subtree(int u){ return {vid[u], vid[u] + sz[u]}; } // 頂点uの部分木に対する辺属性クエリ 区間[l, r) を返す pair subtree_edge(int u){ return {vid[u] + 1, vid[u] + sz[u]}; } int lca(int u, int v){ while(1){ if(vid[u] > vid[v]) swap(u, v); if(head[u] == head[v]) return u; v = par[head[v]]; } } }; struct S{ int value; int size; }; using F = long long; const F ID = 0; S op(S a, S b){ return {a.value ^ b.value, a.size + b.size}; } S e(){ return {0, 0}; } S mapping(F f, S x){ if(x.size & 1) x.value ^= f; return x; } F composition(F f, F g){ return f ^ g; } F id(){ return ID; } void solve(){ int N, Q; cin >> N >> Q; vector C(N); REP(i,N) cin >> C[i]; HLD hld(N); REP(i,N-1){ int u, v; cin >> u >> v; hld.add_edge(--u, --v); } hld.build(); vector v(N, {0, 1}); lazy_segtree seg(v); REP(i,N){ int id = hld.vid[i]; seg.apply(id, id+1, C[i]); } while(Q--){ int q; cin >> q; if(q == 1){ int x, y; cin >> x >> y; --x; int id = hld.vid[x]; seg.apply(id, id+1, y); } else{ int x, y; cin >> x >> y; --x; auto [l, r] = hld.subtree(x); auto res = seg.prod(l, r); cout << res.value << endl; } } } int main(){ cin.tie(0); ios::sync_with_stdio(false); solve(); // int T; cin >> T; REP(t,T) solve(); }