ElysiaForeverLove @ 2024-07-28 16:13:04
#include<bits/stdc++.h>
using namespace std;
#define int long long
int n,m;
int t[600001];
int x,y;
int type;
int ans=0;
int cnt=0;
int vis[2000001];
int f[2000001];
int w[2000001];
int ori_w[2000001];
int id[2000001];
int maxson[2000001];
int res=0;
int top[2000001];
int lazy[2000001];
int dep[2000001];
int siz[2000001];
int d[2000001];
vector<int>q[2000001];
void build(int l,int r,int p){
if(l==r){
d[p]=w[l];
vis[l]=p;
return;
}
else
{
int mid=(l+r)/2;
build(l,mid,2*p);
build(mid+1,r,2*p+1);
d[p]=d[2*p]+d[2*p+1];
}
}
void update(int l,int r,int s,int t,int c,int p)
{
if(l>=s && r<=t){
d[p]+=c*(r-l+1);
lazy[p]+=c;
return;
}
if(lazy[p]){
int mid=(l+r)/2;
d[2*p]+=lazy[p]*(mid-l+1);
d[2*p+1]+=lazy[p]*(r-mid);
lazy[2*p]+=lazy[p];
lazy[2*p+1]+=lazy[p];
lazy[p]=0;
}
int mid=(l+r)/2;
if(s<=mid){
update(l,mid,s,t,c,2*p);
}
if(t>mid){
update(mid+1,r,s,t,c,2*p+1);
}
d[p]=d[2*p]+d[2*p+1];
}
void change(int x,int y,int z)
{
while(top[x]!=top[y])
{
if(dep[top[x]] < dep[top[y]]) swap (x,y);
update(1,n,id[top[x]],id[x],z,1);
x=f[top[x]];
}
if(dep[x]>dep[y]) swap(x,y);
update(1,n,id[x],id[y],z,1);
}
void dfs1(int x,int fa,int deep)
{
dep[x]=deep+1;
f[x]=fa;
siz[x]=1;
int maxn=-1;
for(int i=0;i<q[x].size();i++){
int po=q[x][i];
if(po==f[x])continue;
dfs1(po,x,deep+1);
siz[x]+=siz[po];
if(siz[po]>maxn)maxn=siz[po],maxson[x]=po;
}
}
void dfs2(int x,int topf)
{
id[x]=++cnt;
w[cnt]=ori_w[x];
top[x]=topf;
if(!maxson[x])return;
dfs2(maxson[x],topf);
for(int i=0;i<q[x].size();i++){
int po=q[x][i];
if(po==f[x] || po==maxson[x])continue;
dfs2(po,po);
}
}
signed main()
{
cin>>n;
for(int i=1;i<=n;i++)cin>>t[i];
for(int i=1;i<=n-1;i++){
cin>>x>>y;
q[x].push_back(y);
q[y].push_back(x);
}
dfs1(1,0,1);
dfs2(1,1);
build(1,n,1);
int ans=0;
for(int i=2;i<=n;i++){
change(t[i-1],t[i],1);
}
for(int i=2;i<=n;i++){
d[vis[id[t[i]]]]--;
}
for(int i=1;i<=n;i++){
cout<<d[vis[id[i]]]<<endl;
}
}