#pragma GCC optimize ("Ofast") #include using namespace std; void *wmem; char memarr[96000000]; template inline S max_L(S a,T b){ return a>=b?a:b; } 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); } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(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_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); 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_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(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_unlocked(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_unlocked('-'); } while(s--){ my_putchar_unlocked(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_unlocked(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_unlocked('-'); } while(s--){ my_putchar_unlocked(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_unlocked(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_unlocked('E'); my_putchar_unlocked('r'); my_putchar_unlocked('r'); return; } if(x < 0){ my_putchar_unlocked('-'); 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_unlocked(k + '0'); } if(d > 0){ my_putchar_unlocked('.'); 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_unlocked(k + '0'); } } } inline void wt_L(const char c[]){ int i=0; for(i=0;c[i]!='\0';i++){ my_putchar_unlocked(c[i]); } } inline void wt_L(string &x){ int i=0; for(i=0;x[i]!='\0';i++){ my_putchar_unlocked(x[i]); } } 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; } } int preorder(int res[], int root = 0, void *mem=wmem){ int i; int j; int k; int sts; int sz = 0; long long *st; char *vis; walloc1d(&vis, N, &mem); walloc1d(&st, N, &mem); sts = 0; st[sts++] = ((long long)root) << 32; for(i=(0);i<(N);i++){ vis[i] = 0; } vis[root] = 1; while(sts){ i = st[--sts] >> 32; j = st[sts] & 2147483647; if(j==0){ res[sz++] = i; } while(j < es[i]){ k = edge[i][j++]; if(vis[k]){ continue; } if(j < es[i]){ st[sts++] = (((long long)i) << 32) + j; } vis[k] = 1; st[sts++] = ((long long)k) << 32; break; } } return sz; } } ; int N; int A[100000]; int B[100000]; int U[100000]; int V[100000]; long long dp[2][100000]; graph g; int pre[100000]; int main(){ int t_ynMSdg; wmem = memarr; rd(N); { int Lj4PdHRW; for(Lj4PdHRW=(0);Lj4PdHRW<(N);Lj4PdHRW++){ rd(A[Lj4PdHRW]); } } { int e98WHCEY; for(e98WHCEY=(0);e98WHCEY<(N);e98WHCEY++){ rd(B[e98WHCEY]); } } { int FmcKpFmN; for(FmcKpFmN=(0);FmcKpFmN<(N-1);FmcKpFmN++){ rd(U[FmcKpFmN]);U[FmcKpFmN] += (-1); rd(V[FmcKpFmN]);V[FmcKpFmN] += (-1); } } g.setEdgeRootedTree(N,N-1,U,V); g.preorder(pre); for(t_ynMSdg=(N)-1;t_ynMSdg>=(0);t_ynMSdg--){ int tU__gIr_; auto &i = pre[t_ynMSdg]; dp[0][i] = 0; dp[1][i] = A[i]; for(tU__gIr_=(0);tU__gIr_<(g.es[i]);tU__gIr_++){ auto &j = g.edge[i][tU__gIr_]; dp[0][i] +=max_L(dp[0][j]+B[i]+B[j], dp[1][j]); dp[1][i] +=max_L(dp[0][j], dp[1][j]); } } wt_L(max_L(dp[0][0], dp[1][0])); wt_L('\n'); return 0; } // cLay varsion 20200813-1 [beta] // --- original code --- // int N, A[1d5], B[1d5], U[1d5], V[1d5]; // ll dp[2][1d5]; // graph g; // int pre[1d5]; // { // rd(N,A(N),B(N),(U--,V--)(N-1)); // g.setEdgeRootedTree(N,N-1,U,V); // g.preorder(pre); // // rrep[pre](i,N){ // dp[0][i] = 0; // dp[1][i] = A[i]; // rep[g.edge[i]](j,g.es[i]){ // dp[0][i] += max(dp[0][j]+B[i]+B[j], dp[1][j]); // dp[1][i] += max(dp[0][j], dp[1][j]); // } // } // wt(max(dp[0][0],dp[1][0])); // }