lg3178[维护点权]

链接:lg3178[维护点权]

题解

  • 维护点权,模板
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    #include<iostream>
    #include<cstdio>
    #include<cmath>
    #include<cstdlib>
    #include<cstring>
    #include<algorithm>
    #define rep(i,x,y) for(register int i=x;i<=y;++i)
    #define repd(i,x,y) for(register int i=x;i>=y;--i)
    #define ll long long
    #define lson o<<1,l,mid
    #define rson o<<1|1,mid+1,r
    using namespace std;
    const int N=1e6;
    ll rt[N],lz[N],id[N],top[N],hson[N],size[N],deep[N],w[N],wt[N],f[N];
    int head[N],nxt[N],to[N];
    ll n,m,cnt,op,a,b;
    inline void adde(int u,int v){nxt[++cnt]=head[u];to[cnt]=v;head[u]=cnt;}
    inline void pushup(int o){rt[o]=rt[o<<1]+rt[o<<1|1];}
    inline void pushdown(int o,int len){
    if(!lz[o])return ;
    lz[o<<1]+=lz[o];
    lz[o<<1|1]+=lz[o];
    rt[o<<1]+=lz[o]*(len-(len>>1));
    rt[o<<1|1]+=lz[o]*(len>>1);
    lz[o]=0;
    }
    inline void build(int o,int l,int r){
    if(l==r){rt[o]=w[l];return ;}
    int mid=l+r>>1;
    build(lson);
    build(rson);
    pushup(o);
    }
    inline void update(int o,int l,int r,int L,int R,ll x){
    if(L<=l&&R>=r){rt[o]+=(r-l+1)*x;lz[o]+=x;return ;}
    pushdown(o,r-l+1);
    int mid=l+r>>1;
    if(L<=mid)update(lson,L,R,x);
    if(R>mid)update(rson,L,R,x);
    pushup(o);
    }
    inline ll query(int o,int l,int r,int L,int R){
    if(L<=l&&R>=r)return rt[o];
    pushdown(o,r-l+1);
    int mid=l+r>>1;
    ll ans=0;
    if(L<=mid)ans+=query(lson,L,R);
    if(R>mid)ans+=query(rson,L,R);
    return ans;
    }
    inline void dfs1(int x){
    size[x]=1;
    for(int i=head[x];i;i=nxt[i])if(to[i]!=f[x]){
    f[to[i]]=x;
    deep[to[i]]=deep[x]+1;
    dfs1(to[i]);
    size[x]+=size[to[i]];
    if(size[hson[x]]<size[to[i]])hson[x]=to[i];
    }
    }
    inline void dfs2(int x,int t){
    top[x]=t;id[x]=++cnt;w[cnt]=wt[x];
    if(hson[x])dfs2(hson[x],t);
    for(int i=head[x];i;i=nxt[i])if(to[i]!=f[x]&&to[i]!=hson[x])dfs2(to[i],to[i]);
    }
    inline ll queryrange(int x,int y){
    ll ans=0;
    while(top[x]!=top[y]){
    if(deep[top[x]]<deep[top[y]])swap(x,y);
    ans+=query(1,1,n,id[top[x]],id[x]);
    x=f[top[x]];
    }
    if(deep[x]>deep[y])swap(x,y);
    return ans+query(1,1,n,id[x],id[y]);
    }
    int main(){
    scanf("%d%d",&n,&m);
    rep(i,1,n)scanf("%lld",&wt[i]);
    rep(i,2,n){scanf("%d%d",&a,&b);adde(a,b);adde(b,a);}
    cnt=0;
    dfs1(1);
    dfs2(1,1);
    build(1,1,n);
    while(m--){
    scanf("%d%lld",&op,&a);
    if(op==1){scanf("%lld",&b);update(1,1,n,id[a],id[a],b);}
    else if(op==2){scanf("%lld",&b);update(1,1,n,id[a],id[a]+size[a]-1,b);}
    else printf("%lld\n",queryrange(1,a));
    }
    return 0;
    }