树链剖分(区间更新,单点值)

区间增加或者减少一个值,求单点的值
点带权转化为边带权,增加一个虚根
线段树push_down


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#include <cstdio>
#include <string>
#include <cstring>

using namespace std;
const int MAXN=50000+10;
const int INF=0x3f3f3f3f;
int n,m,p;
struct {
int next;
int to;
}node[MAXN*2];
int head[MAXN*2],tot;
int fa[MAXN],dep[MAXN],son[MAXN],top[MAXN],siz[MAXN],vis[MAXN];
int totw,w[MAXN];
int enemy[MAXN];

void init(){
tot=0;
memset(head,-1,sizeof(head));
memset(vis,0,sizeof(vis));
memset(fa,0,sizeof(fa));
memset(son,0,sizeof(son));
memset(dep,0,sizeof(dep));
memset(enemy,0,sizeof(enemy));
memset(w,0,sizeof(w));
memset(siz,0,sizeof(siz));
memset(top,0,sizeof(top));
}
void init2(){
memset(vis,0,sizeof(vis));
totw=0;
top[n+1]=n+1;
}

void dfs1(int u,int d){
vis[u]=1;
siz[u]=1;
int pos=head[u];
int maxsize=0;
int tmpson;
for(;pos!=-1;pos=node[pos].next){
int v=node[pos].to;
if(!vis[v]){
dfs1(v,d+1);
siz[u]+=siz[v];
if(siz[v]>maxsize){
maxsize=siz[v];
tmpson=v;
}
fa[v]=u;
}
}
if(maxsize){
son[u]=tmpson;
}
dep[u]=d;

}
void dfs2(int u){
int pos=head[u];
if(son[u]){
top[son[u]]=top[u];
w[son[u]]=++totw;
dfs2(son[u]);
}
for(;pos!=-1;pos=node[pos].next){
int v=node[pos].to;
if(v!=fa[u]&&v!=son[u]){
top[v]=v;
w[v]=++totw;
dfs2(v);
}
}
}
void show(){
for(int i=1;i<=n+1;i++){
int pos=head[i];
printf("(%d) ",i);
for(;pos!=-1;pos=node[pos].next){
//printf("%d ",node[pos].to);
}
printf("size:%d son:%d fa:%d dep:%d top:%d w:%d",siz[i],son[i],fa[i],dep[i],top[i],w[i]);
printf("n");
}

}
int val[MAXN];
void updateval(){
for(int i=1;i<=n;i++){
val[w[i]]=enemy[i];
}
}
struct Treenode{
int l,r;
int sum;
int add;
}Tree[MAXN*4];
void push_up(int u){
int lson=u<<1;
int rson=lson|1;
Tree[u].sum=Tree[lson].sum+Tree[rson].sum;
}
void build(int u,int l,int r){
Tree[u].l=l;
Tree[u].r=r;
Tree[u].sum=0;
Tree[u].add=0;
//printf("%d %d %dn",u,Tree[u].l,Tree[u].r);
if(l==r){
Tree[u].sum=val[l];
return;
}
int mid=(l+r)>>1;
build(u<<1,l,mid);
build((u<<1)|1,mid+1,r);
push_up(u);
}
void push_down(int u){
Tree[u<<1].add+=Tree[u].add;
Tree[(u<<1)|1].add+=Tree[u].add;
Tree[u].sum+=(Tree[u].r-Tree[u].l+1)*Tree[u].add;
Tree[u].add=0;
}

int query(int u,int k){
if(Tree[u].l==k&&Tree[u].r==k){
return Tree[u].sum+Tree[u].add;
}
push_down(u);
int mid=(Tree[u].l+Tree[u].r)>>1;
if(k<=mid) return query(u<<1,k);
else return query((u<<1)|1,k);
}

void update(int u,int l,int r,int c){
if(Tree[u].l==l&&Tree[u].r==r){
Tree[u].add+=c;
return;
}
push_down(u);//注意
int mid=(Tree[u].l+Tree[u].r)>>1;
if(r<=mid) update(u<<1,l,r,c);
else if(l>mid) update((u<<1)|1,l,r,c);
else{
update(u<<1,l,mid,c);
update((u<<1)|1,mid+1,r,c);
}
}
void update_Tree(int u,int v,int c){
int f1=top[u],f2=top[v];
while(f1!=f2){
//printf("%d %dn",u,v);
if(dep[f1]<dep[f2]){
swap(f1,f2);
swap(u,v);
}
update(1,w[f1],w[u],c);
u=fa[f1];f1=top[u];
}
if(u==v){
update(1,w[u],w[u],c);
return;
}
if(dep[u]<dep[v]){
swap(u,v);
}
update(1,w[v],w[u],c);
}
int main(){
freopen("in.txt","r",stdin);
while(scanf("%d%d%d",&n,&m,&p)!=EOF){
init();
for(int i=1;i<=n;i++){
scanf("%d",&enemy[i]);
}
int u,v;
for(int i=1;i<=m;i++){
scanf("%d%d",&u,&v);
node[tot].to=v;
node[tot].next=head[u];
head[u]=tot++;
node[tot].to=u;
node[tot].next=head[v];
head[v]=tot++;
}
//连虚根
node[tot].to=1;
node[tot].next=head[n+1];
head[n+1]=tot++;
node[tot].to=n+1;
node[tot].next=head[1];
head[1]=tot++;
dfs1(n+1,1);
init2();
dfs2(n+1);
//show();
updateval();
build(1,1,n+1);
char str[10];
for(int i=0;i<p;i++){
scanf("%s",str);
int ta,tb,tc;
if(str[0]=='Q'){
scanf("%d",&ta);
printf("%dn",query(1,w[ta]));
}else if(str[0]=='D'){
scanf("%d%d%d",&ta,&tb,&tc);
update_Tree(ta,tb,-tc);
}else{
scanf("%d%d%d",&ta,&tb,&tc);
update_Tree(ta,tb,tc);
}
}
}
return 0;
}