【BZOJ】3052: [wc2013]糖果公园 树分块+带修改莫队算法

#include<cmath>
#include<cstdio>
#include<cctype>
#include<cstring>
#include<algorithm>
using namespace std;
int read(){
    int s=0,t=1;char c;
    while(!isdigit(c=getchar()))if(c=='-')t=-1;
    do{s=s*10+c-'0';}while(isdigit(c=getchar()));
    return s*t;
}
const int maxn=100010;
int tot,n,m,q,B,top,cnt,c0,c1;
int first[maxn],deep[maxn],f[maxn][20],belong[maxn],st[maxn],num[maxn],c[maxn],w[maxn],v[maxn],pre[maxn];
long long ans,ANS[maxn];
bool vis[maxn];
struct edge{
    
    int v,from;}e[maxn*2];
struct C0{
    
    int x,y,pre;}a[maxn];
struct C1{
    
    int x,y,t,id;}b[maxn];
void insert(int u,int v){tot++;e[tot].v=v;e[tot].from=first[u];first[u]=tot;}
void dfs(int x,int fa){
    int lim=top;
    for(int j=1;(1<<j)<=deep[x];j++)f[x][j]=f[f[x][j-1]][j-1];
    for(int i=first[x];i;i=e[i].from)if(e[i].v!=fa){
        deep[e[i].v]=deep[x]+1;
        f[e[i].v][0]=x;
        dfs(e[i].v,x);
        if(top-lim>=B){
            cnt++;
            while(top>lim)belong[st[top--]]=cnt;
        }
    }
    st[++top]=x;
}
int lca(int x,int y){
    if(deep[x]<deep[y])swap(x,y);
    int d=deep[x]-deep[y];
    for(int j=0;(1<<j)<=d;j++)if((1<<j)&d)x=f[x][j];
    if(x==y)return x;
    for(int j=17;j>=0;j--)if((1<<j)<=deep[x]&&f[x][j]!=f[y][j])x=f[x][j],y=f[y][j];
    return f[x][0];
}
void reverse(int x){
    if(vis[x])ans-=1ll*w[num[c[x]]--]*v[c[x]];
    else ans+=1ll*w[++num[c[x]]]*v[c[x]];
    vis[x]^=1;
}
void modify(int x,int y){
    if(!vis[x])c[x]=y;
    else reverse(x),c[x]=y,reverse(x);
}
void solve(int x,int y){
    while(x!=y){
        if(deep[x]>deep[y])reverse(x),x=f[x][0];
        else reverse(y),y=f[y][0];
    }
}
bool cmp(C1 a,C1 b){
    
    return belong[a.x]<belong[b.x]||(belong[a.x]==belong[b.x]&&belong[a.y]<belong[b.y])||
(belong[a.x]==belong[b.x]&&belong[a.y]==belong[b.y]&&a.t<b.t);}

int main(){
    n=read();m=read();q=read();
    for(int i=1;i<=m;i++)v[i]=read();
    for(int i=1;i<=n;i++)w[i]=read();
    for(int i=1;i<n;i++){                      
        int u=read(),v=read();
        insert(u,v);insert(v,u);
    }
    B=pow(n,2.0/3)*0.5;
    dfs(1,0);
    while(top)belong[st[top--]]=cnt;
    for(int i=1;i<=n;i++)c[i]=pre[i]=read();
    for(int i=1;i<=q;i++){
        int kind=read(),x=read(),y=read();
        if(!kind){
            a[++c0]=(C0){x,y,pre[x]},pre[x]=y;
        }
        else{
            b[++c1]=(C1){x,y,c0,c1};
            if(belong[b[c1].x]>belong[b[c1].y])swap(b[c1].x,b[c1].y);
        }
    }
    sort(b+1,b+c1+1,cmp);
    for(int i=1;i<=b[1].t;i++)modify(a[i].x,a[i].y);
    solve(b[1].x,b[1].y);
    int c=lca(b[1].x,b[1].y);
    reverse(c);ANS[b[1].id]=ans;reverse(c);
    for(int i=2;i<=c1;i++){
        for(int j=b[i-1].t+1;j<=b[i].t;j++)modify(a[j].x,a[j].y);
        for(int j=b[i-1].t;j>b[i].t;j--)modify(a[j].x,a[j].pre);
        solve(b[i-1].x,b[i].x);solve(b[i-1].y,b[i].y);
        int c=lca(b[i].x,b[i].y);
        reverse(c);ANS[b[i].id]=ans;reverse(c);
    }
    for(int i=1;i<=c1;i++)printf("%lld\n",ANS[i]);
    return 0;
}