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bzoj4034 [HAOI2015]树上操作(树链剖分)

2017-09-08 09:55 316 查看
子树修改,通过dfn序可以变成区间修改。然后就是裸题了。

#include<cstdio>
#include<cstring>
#define ll long long
#define N 100010
int n,a
,m,num=0,h
,dep
,size
,son
,fa
,top
,in
,out
,dfn=0,w
;
struct edge{
int to,next;
}data[N<<1];
struct node{
ll lazy,sum;
}tree[N<<2];
inline int read(){
int x=0,f=1;char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9') x=x*10+ch-'0',ch=getchar();
return x*f;
}
inline int max(int x,int y){return x>y?x:y;}
inline ll max(ll x,ll y){return x>y?x:y;}
void dfs1(int x){
size[x]=1;
for(int i=h[x];i;i=data[i].next){
int y=data[i].to;
if(fa[x]==y) continue;
fa[y]=x;dep[y]=dep[x]+1;dfs1(y);size[x]+=size[y];
if(size[y]>size[son[x]]) son[x]=y;
}
}
void dfs2(int x,int tp){
top[x]=tp;in[x]=++dfn;w[dfn]=a[x];
if(son[x]) dfs2(son[x],tp);
for(int i=h[x];i;i=data[i].next){
int y=data[i].to;
if(y==son[x]||y==fa[x]) continue;
dfs2(y,y);
}
out[x]=dfn;
}
inline void pushup(int p){
tree[p].sum=tree[p<<1].sum+tree[p<<1|1].sum;
}
inline void pushdown(int p,int l,int r,int mid){
if(!tree[p].lazy) return;
tree[p<<1].lazy+=tree[p].lazy;tree[p<<1|1].lazy+=tree[p].lazy;
tree[p<<1].sum+=(mid-l+1)*tree[p].lazy;
tree[p<<1|1].sum+=(r-mid)*tree[p].lazy;
tree[p].lazy=0;
}
void build(int p,int l,int r){
if(l==r){tree[p].sum=w[l];return;}
int mid=l+r>>1;
build(p<<1,l,mid);build(p<<1|1,mid+1,r);
pushup(p);
}
void change(int p,int l,int r,int x,int y,ll v){//v也要longlong!!!坑死人。
if(x<=l&&r<=y){
tree[p].lazy+=v;tree[p].sum+=(r-l+1)*v;return;
}
int mid=l+r>>1;pushdown(p,l,r,mid);
if(x<=mid) change(p<<1,l,mid,x,y,v);
if(y>mid) change(p<<1|1,mid+1,r,x,y,v);
pushup(p);
}
ll qsum(int p,int l,int r,int x,int y){
if(x<=l&&r<=y) return tree[p].sum;
int mid=l+r>>1;pushdown(p,l,r,mid);ll sum=0;
if(x<=mid) sum+=qsum(p<<1,l,mid,x,y);
if(y>mid) sum+=qsum(p<<1|1,mid+1,r,x,y);
return sum;
}
ll query(int x){
ll sum=0;
while(top[x]!=1){
sum+=qsum(1,1,n,in[top[x]],in[x]);
x=fa[top[x]];
}
sum+=qsum(1,1,n,1,in[x]);
return sum;
}
int main(){
//  freopen("a.in","r",stdin);
n=read();m=read();
for(int i=1;i<=n;++i) a[i]=read();
for(int i=1;i<n;++i){
int x=read(),y=read();
data[++num].to=y;data[num].next=h[x];h[x]=num;
data[++num].to=x;data[num].next=h[y];h[y]=num;
}
dep[1]=1;dfs1(1);dfs2(1,1);build(1,1,n);
while(m--){
int op=read(),x=read();
if(op==1) change(1,1,n,in[x],in[x],read());
if(op==2) change(1,1,n,in[x],out[x],read());
if(op==3) printf("%lld\n",query(x));
}
return 0;
}
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