#pragma GCC optimize ("Ofast") #include using namespace std; void*wmem; char memarr[96000000]; template inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } template inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){ walloc1d(arr, x2-x1, mem); (*arr) -= x1; } inline int my_getchar(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline void rd(long long &x){ int k; int m=0; x=0; for(;;){ k = my_getchar(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar(a); } inline void wt_L(int x){ int s=0; int m=0; char f[10]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar('-'); } while(s--){ my_putchar(f[s]+'0'); } } inline void wt_L(unsigned x){ int s=0; char f[10]; while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } while(s--){ my_putchar(f[s]+'0'); } } inline void wt_L(long long x){ int s=0; int m=0; char f[20]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar('-'); } while(s--){ my_putchar(f[s]+'0'); } } inline void wt_L(unsigned long long x){ int s=0; char f[21]; while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } while(s--){ my_putchar(f[s]+'0'); } } int WRITER_DOUBLE_DIGIT = 15; inline int writerDigit_double(){ return WRITER_DOUBLE_DIGIT; } inline void writerDigit_double(int d){ WRITER_DOUBLE_DIGIT = d; } inline void wt_L(double x){ const int d = WRITER_DOUBLE_DIGIT; int k; int r; double v; if(x!=x || (x==x+1 && x==2*x)){ my_putchar('E'); my_putchar('r'); my_putchar('r'); return; } if(x < 0){ my_putchar('-'); x = -x; } x += 0.5 * pow(0.1, d); r = 0; v = 1; while(x >= 10*v){ v *= 10; r++; } while(r >= 0){ r--; k = floor(x / v); if(k >= 10){ k = 9; } if(k <= -1){ k = 0; } x -= k * v; v *= 0.1; my_putchar(k + '0'); } if(d > 0){ my_putchar('.'); v = 1; for(r=(0);r<(d);r++){ v *= 0.1; k = floor(x / v); if(k >= 10){ k = 9; } if(k <= -1){ k = 0; } x -= k * v; my_putchar(k + '0'); } } } inline void wt_L(const char c[]){ int i=0; for(i=0;c[i]!='\0';i++){ my_putchar(c[i]); } } inline void wt_L(string &x){ int i=0; for(i=0;x[i]!='\0';i++){ my_putchar(x[i]); } } template inline void arrInsert(const int k, int &sz, S a[], const S aval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } a[k] = aval; } template inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } for(i=sz-1;i>k;i--){ b[i] = b[i-1]; } a[k] = aval; b[k] = bval; } template inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } for(i=sz-1;i>k;i--){ b[i] = b[i-1]; } for(i=sz-1;i>k;i--){ c[i] = c[i-1]; } a[k] = aval; b[k] = bval; c[k] = cval; } template inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval, V d[], const V dval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } for(i=sz-1;i>k;i--){ b[i] = b[i-1]; } for(i=sz-1;i>k;i--){ c[i] = c[i-1]; } for(i=sz-1;i>k;i--){ d[i] = d[i-1]; } a[k] = aval; b[k] = bval; c[k] = cval; d[k] = dval; } template struct segtree_rh{ int N; int logN; int trueN; SVAL*val; SFUN*fun; char*dofun; void malloc(int maxN, int once = 0); void walloc(int maxN, int once = 0, void **mem = &wmem); void free(void); SVAL& operator[](int i); void setN(int n, int zerofill = 1, int dobuild = 1); void build(void); inline void push_one(int a); inline void push(int a); inline void build(int a); inline void change(int a, int b, SFUN f); inline SVAL get(int a, int b); template int max_right(int a, int mx); template int max_right(int a); template int min_left(int b, int mn); template int min_left(int b); } ; struct graph{ int N; int*es; int**edge; void setEdgeRootedTree(int N__, int M, int A[], int B[], int root=0, int reorder=0, int cnv[] = NULL, void **mem = &wmem){ int i; int j; int k; int*dist; int*q; int qs; int qe; int*ind; void*tmem; N = N__; tmem = ((char*)(*mem)) + (sizeof(int) * N + 15) + (sizeof(int*) * N + 15) + (sizeof(int) * M + 15 * N); walloc1d(&es, N, mem); walloc1d(&edge, N, mem); for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ es[A[i]]++; es[B[i]]++; } for(i=(0);i<(N);i++){ walloc1d(&edge[i], es[i], &tmem); } for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ edge[A[i]][es[A[i]]++] = B[i]; edge[B[i]][es[B[i]]++] = A[i]; } walloc1d(&dist, N, &tmem); walloc1d(&q, N, &tmem); walloc1d(&ind, N, &tmem); if(cnv==NULL){ walloc1d(&cnv, N, &tmem); } for(i=(0);i<(N);i++){ dist[i] = -1; } dist[root] = 0; qs = qe = 0; q[qe++] = root; while(qs < qe){ i = q[qs++]; for(j=(0);j<(es[i]);j++){ k = edge[i][j]; if(dist[k]==-1){ dist[k] = dist[i] + 1; q[qe++] = k; } } } if(reorder == 0){ for(i=(0);i<(N);i++){ cnv[i] = i; } for(i=(0);i<(N);i++){ ind[i] = i; } } else{ for(i=(0);i<(N);i++){ cnv[i] = q[i]; } for(i=(0);i<(N);i++){ ind[cnv[i]] = i; } } for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ j = A[i]; k = B[i]; if(dist[j] > dist[k]){ swap(j, k); } es[ind[j]]++; } for(i=(0);i<(N);i++){ walloc1d(&edge[i], es[i], mem); } for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ j = A[i]; k = B[i]; if(dist[j] > dist[k]){ swap(j, k); } j = ind[j]; k = ind[k]; edge[j][es[j]++] = k; } } } ; graph g; int A[100000+10]; int B[100000+10]; int esz; long long C[100000+10]; int inorder[100000+10]; int exorder[100000+10]; int tsz[100000+10]; void add_edge(int x, int y){ arrInsert(esz, esz, A, x, B, y); } int N; int Q; int ts; void dfs(int x){ int PiIOrLma; inorder[x] = ts++; for(PiIOrLma=(0);PiIOrLma<(g.es[x]);PiIOrLma++){ auto&i = g.edge[x][PiIOrLma]; dfs(i); } exorder[x] = ts; } long long segtree_rh_merge(long long a, long long b){ return a ^ b; } long long segtree_rh_apply(long long f, long long a){ return f ^ a; } long long segtree_rh_compose(long long f, long long g){ return f ^ g; } segtree_rh t; int main(){ int i, x; wmem = memarr; rd(N); rd(Q); { int GIHf_YD2; for(GIHf_YD2=(0);GIHf_YD2<(N);GIHf_YD2++){ rd(C[GIHf_YD2]); } } { int rbGYC8dh; for(rbGYC8dh=(0);rbGYC8dh<(N-1);rbGYC8dh++){ rd(A[rbGYC8dh]);A[rbGYC8dh] += (-1); rd(B[rbGYC8dh]);B[rbGYC8dh] += (-1); } } t.walloc(300000); t.setN(300000, 1, 0); t.build(); g.setEdgeRootedTree(N, N-1, A, B); ts = 1; dfs(0); for(x=(0);x<(N);x++){ t.change(inorder[x], inorder[x]+1, C[x]); } for(i=(0);i<(Q);i++){ int type; rd(type); if(type == 1){ int x; long long y; rd(x); rd(y); --x; t.change(inorder[x], inorder[x]+1, y); } if(type==2){ int x; int y; rd(x); rd(y); --x; wt_L(t.get(inorder[x], exorder[x] )); wt_L('\n'); } } return 0; } template void segtree_rh::malloc(int maxN, int once /*= 0*/){ int i; for(i=1;i void segtree_rh::walloc(int maxN, int once /*= 0*/, void **mem /*= &wmem*/){ int i; for(i=1;i void segtree_rh::free(void){ delete [] val; delete [] fun; } template SVAL& segtree_rh::operator[](int i){ return val[N+i]; } template void segtree_rh::setN(int n, int zerofill /*= 1*/, int dobuild /*= 1*/){ int i; for(i=1,logN=0;i void segtree_rh::build(void){ int i; for(i=N-1;i;i--){ val[i] = segtree_rh_merge(val[2*i], val[2*i+1]); } int ur5KXcGs = N; for(i=(1);i<(ur5KXcGs);i++){ dofun[i] = 0; } } template inline void segtree_rh::push_one(int a){ if(dofun[a]){ if(2*a < N){ if(dofun[2*a]){ fun[2*a] = segtree_rh_compose(fun[a], fun[2*a]); } else{ fun[2*a] = fun[a]; dofun[2*a] = 1; } } val[2*a] = segtree_rh_apply(fun[a], val[2*a]); if(2*a+1 < N){ if(dofun[2*a+1]){ fun[2*a+1] = segtree_rh_compose(fun[a], fun[2*a+1]); } else{ fun[2*a+1] = fun[a]; dofun[2*a+1] = 1; } } val[2*a+1] = segtree_rh_apply(fun[a], val[2*a+1]); dofun[a] = 0; } } template inline void segtree_rh::push(int a){ int i; for(i=logN;i;i--){ push_one(a>>i); } } template inline void segtree_rh::build(int a){ while(a > 1){ a /= 2; val[a] = segtree_rh_merge(val[2*a], val[2*a+1]); if(dofun[a]){ val[a] = segtree_rh_apply(fun[a], val[a]); } } } template inline void segtree_rh::change(int a, int b, SFUN f){ int aa; int bb; if(a >= b){ return; } aa = (a += N); bb = (b += N); push(a); push(b-1); if(a%2){ val[a] = segtree_rh_apply(f, val[a]); a++; } if(b%2){ b--; val[b] = segtree_rh_apply(f, val[b]); } a /= 2; b /= 2; while(a < b){ if(a%2){ val[a] = segtree_rh_apply(f, val[a]); if(dofun[a]){ fun[a] = segtree_rh_compose(f, fun[a]); } else{ fun[a] = f; dofun[a] = 1; } a++; } if(b%2){ b--; val[b] = segtree_rh_apply(f, val[b]); if(dofun[b]){ fun[b] = segtree_rh_compose(f, fun[b]); } else{ fun[b] = f; dofun[b] = 1; } } a /= 2; b /= 2; } build(aa); build(bb-1); } template inline SVAL segtree_rh::get(int a, int b){ SVAL res; SVAL tmp; int fga = 0; int fgb = 0; a += N; b += N; push(a); push(b-1); while(a < b){ if(a%2){ if(fga){ res = segtree_rh_merge(res, val[a]); } else{ res = val[a]; fga = 1; } a++; } if(b%2){ b--; if(fgb){ tmp = segtree_rh_merge(val[b], tmp); } else{ tmp = val[b]; fgb = 1; } } a /= 2; b /= 2; } if(fga==1 && fgb==0){ return res; } if(fga==0 && fgb==1){ return tmp; } if(fga==1 && fgb==1){ return segtree_rh_merge(res, tmp); } return res; } template template int segtree_rh::max_right(int a, int mx){ int fg = 0; int ta = a; int sz = 1; SVAL cur; SVAL tmp; if(a>=mx){ return mx; } a += N; push(a); for(;;){ while(a%2==0){ a /= 2; sz *= 2; } if(ta + sz <= mx){ if(fg==0){ tmp = val[a]; } else{ tmp = segtree_rh_merge(cur, val[a]); } } if(ta + sz > mx || !f(tmp)){ while(a < N){ push_one(a); a *= 2; sz /= 2; if(ta + sz <= mx){ if(fg==0){ tmp = val[a]; } else{ tmp = segtree_rh_merge(cur, val[a]); } } if(ta + sz <= mx && f(tmp)){ fg = 1; cur = tmp; a++; ta += sz; } } return a - N; } fg = 1; cur = tmp; if((a & (a+1)) == 0){ break; } a++; ta += sz; } return mx; } template template int segtree_rh::max_right(int a){ return max_right(a, trueN); } template template int segtree_rh::min_left(int b, int mn){ int fg = 0; int tb = b; int sz = 1; SVAL cur; SVAL tmp; if(b <= mn){ return mn; } b += N; push(b-1); for(;;){ while(b%2==0){ b /= 2; sz *= 2; } if(tb - sz >= mn){ if(fg==0){ tmp = val[b-1]; } else{ tmp = segtree_rh_merge(val[b-1], cur); } } if(tb - sz < mn || !f(tmp)){ while(b-1 < N){ push_one(b-1); b *= 2; sz /= 2; if(tb - sz >= mn){ if(fg==0){ tmp = val[b-1]; } else{ tmp = segtree_rh_merge(val[b-1], cur); } } if(tb - sz >= mn && f(tmp)){ fg = 1; cur = tmp; b--; tb -= sz; } } return b - N; } fg = 1; cur = tmp; b--; tb -= sz; if(tb <= mn){ break; } } return mn; } template template int segtree_rh::min_left(int b){ return min_left(b, 0); } // cLay version 20210405-1 // --- original code --- // //no-unlocked // graph g; // int A[1d5+10], B[], esz; // ll C[1d5+10]; // int inorder[], exorder[], tsz[]; // // void add_edge(int x, int y){ // arrInsert(esz, esz, A, x, B, y); // } // int N, Q, ts; // // void dfs(int x){ // inorder[x] = ts++; // rep[g.edge[x]](i, g.es[x]) dfs(i); // exorder[x] = ts; // } // // ll segtree_rh_merge(ll a, ll b){ // return a ^ b; // } // ll segtree_rh_apply(ll f, ll a){ // return f ^ a; // } // ll segtree_rh_compose(ll f, ll g){ // return f ^ g; // } // segtree_rh t; // // { // rd(N, Q, C(N), (A--,B--)(N-1)); // t.walloc(3d5); // t.setN(3d5, 1, 0); // t.build(); // g.setEdgeRootedTree(N, N-1, A, B); // ts = 1; // dfs(0); // rep(x, N){ // t.change(inorder[x], inorder[x]+1, C[x]); // } // rep(i, Q){ // int type; // rd(type); // if(type == 1){ // int x; // ll y; // rd(x, y); // --x; // // t.change(inorder[x], inorder[x]+1, y); // } // if(type==2){ // int x, y; // rd(x, y); // --x; // wt(t.get(inorder[x], exorder[x] )); // } // } // }