stO树链剖分Orz
蛤 HaOI tql
#include <iostream>
#include <stdio.h>
#include <string.h>
#include <algorithm>
#define maxn 444444
#define int long long
using namespace std ;
struct dy{
int x , y , z , next ;
}a[maxn] ;
struct Tree {
int lc,rc,sum,tag ;
}tree[maxn] ;
int deep[maxn] , top[maxn] , id[maxn] , size[maxn] ,son[maxn] ;
int n , m , r , p ;
int tot , cnt = 1 ;
int head[maxn] , fa[maxn] , w[maxn] ,wt[maxn] , tt ;
void pushup(int u) {
tree[u].sum = (tree[tree[u].lc].sum + tree[tree[u].rc].sum) ;
return ;
}
void pushdown(int u ,int l ,int r) {
int mid = (l+r) >> 1 ;
tree[tree[u].lc].sum = (tree[tree[u].lc].sum+(mid-l+1)*tree[u].tag) ;
tree[tree[u].lc].tag = (tree[u].tag+tree[tree[u].lc].tag) ;
tree[tree[u].rc].sum = (tree[tree[u].rc].sum + tree[u].tag*(r-mid)) ;
tree[tree[u].rc].tag = (tree[tree[u].rc].tag+tree[u].tag) ;
tree[u].tag = 0 ;
return ;
}
void build(int u ,int l ,int r) {
if(l == r) {
tree[u].sum = wt[l] ;
return ;
}
int mid = (l+r) >> 1 ;
tree[u].lc = ++cnt ;
build(tree[u].lc,l,mid) ;
tree[u].rc = ++cnt ;
build(tree[u].rc , mid+1,r) ;
pushup(u) ;
}
int query(int u ,int l ,int r,int ll,int rr) {
if(l == ll && r == rr) {
return tree[u].sum ;
}int mid = (l+r) >>1 ;
pushdown(u,l,r) ;
if(rr <= mid) return query(tree[u].lc,l,mid,ll,rr) ;
else if(ll > mid) return query(tree[u].rc,mid+1,r,ll,rr) ;
else {
return (query(tree[u].lc,l,mid,ll,mid)+query(tree[u].rc,mid+1,r,mid+1,rr)) ;
}
pushup(u) ;
}
void updata(int u ,int l ,int r,int ll ,int rr,int w) {
if(l == ll &&r == rr) {
tree[u].sum = (tree[u].sum + w*(r-l+1)) ;
tree[u].tag = (tree[u].tag + w) ;
return ;
}int mid = (l+r) >> 1 ;
pushdown(u,l,r) ;
if(rr <= mid) updata(tree[u].lc,l,mid,ll,rr,w) ;
else if(ll > mid) updata(tree[u].rc,mid+1,r,ll,rr,w) ;
else {
updata(tree[u].lc,l,mid,ll,mid,w) ;
updata(tree[u].rc,mid+1,r,mid+1,rr,w) ;
}
pushup(u) ;
}
void dfs1(int x,int f,int depth) {
size[x] = 1 ;
fa[x] = f ;
deep[x] = depth ;
for(int i = head[x] ; i ; i = a[i].next) {
int v = a[i].y ;
if(v == f ) continue;
dfs1(v,x,depth+1);
size[x] += size[v];
if(size[v] > size[son[x]]) {
son[x] = v ;
}
}
}
void dfs2(int x,int topf) {
id[x] = ++ tt ;
wt[tt] = w[x];
top[x] = topf;
if(!son[x]) return;
dfs2(son[x],topf);
for(int i = head[x] ; i ; i = a[i].next) {
int v = a[i].y;
if(v == son[x] || v == fa[x]) continue;
dfs2(v,v);
}
}
int qlink(int x,int y) {
int 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 = fa[top[x]];
}
if(deep[x] > deep[y]) swap(x,y) ;
ans = (ans + query(1,1,n,id[x],id[y]));
return ans;
}
void uplink(int x,int y,int w) {
while(top[x] != top[y]) {
if(deep[top[x]] < deep[top[y]]) swap(x,y);
updata(1,1,n,id[top[x]],id[x],w);
x = fa[top[x]];
}
if(deep[x] > deep[y]) swap(x,y);
updata(1,1,n,id[x],id[y],w);
}
int qson(int x) {
return query(1,1,n,id[x],id[x]+size[x]-1);
}
void upson(int x,int w) {
updata(1,1,n,id[x],id[x]+size[x]-1,w);
}
void add(int x ,int y) {
a[++tot].x = x ;
a[tot].y = y ;
a[tot].next = head[x] ;
head[x] = tot ;
}
signed main () {
cin >> n >> m ;
for(int i = 1 ; i <= n ; i ++)
cin >> w[i] ;
for(int i = 1 ; i < n ; i ++) {
int x,y;
cin >> x >> y ;
add(x,y);
add(y,x);
}
dfs1(1,0,1);
dfs2(1,1);
build(1,1,n);
while(m --) {
int opt;
cin >> opt ;
if(opt == 1) {
int x,y,z;
cin >> x >> y ;
updata(1,1,n,id[x],id[x],y) ;
}
if(opt == 2) {
int x,y;
cin >> x >> y ;
upson(x,y) ;
}
if(opt == 3) {
int x,z;
cin >> x ;
cout << qlink(1,x) << endl ;
}
}
return 0 ;
}