This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<iostream>
#include<vector>
#include<algorithm>
#define ep emplace
#define eb emplace_back
#define fi first
#define se second
#define all(x) (x).begin(),(x).end()
#define semicolon ;
#define ryan bear
using namespace std;
typedef long long ll;
typedef pair<int,int>pi;
typedef pair<ll,ll>pl;
const int inf=1e9+7;
const ll INF=1e18+7;
struct seg
{
int c[1000010],sm[1000010],t[1000010];
seg(){}
inline void init()
{
fill(c,c+1000010,0);
fill(sm,sm+1000010,0);
fill(t,t+1000010,0);
}
inline void set(int n)
{
t[n]=c[n]>0?sm[n]:(n<400005?t[n*2]+t[n*2+1]:0);
return;
}
void set(int n,int s,int e,int x,int p)
{
if(s==e)
{
sm[n]=p;
set(n);
return;
}
int m=(s+e)/2;
if(x>m)
set(n*2+1,m+1,e,x,p);
else
set(n*2,s,m,x,p);
sm[n]=sm[n*2]+sm[n*2+1];
set(n);
return;
}
bool get(int n,int s,int e,int x)
{
if(c[n]>0)
return 1;
if(s==e)
return 0;
int m=(s+e)/2;
if(x>m)
return get(n*2+1,m+1,e,x);
return get(n*2,s,m,x);
}
void si(int n,int s,int e,int S,int E,int p)
{
if(s>E||S>e)
return;
if(S<=s&&e<=E)
{
c[n]+=p;
set(n);
return;
}
int m=(s+e)/2;
si(n*2,s,m,S,E,p);
si(n*2+1,m+1,e,S,E,p);
set(n);
return;
}
inline int sq()
{
return t[1];
}
}st;
vector<int>adj[250010];
int dp[250010],dp2[250010];
int fd[250010],sd[250010];
bool ch[250010];
int pos[250010];
int n,m;
void dfs(int x,int p)
{
ch[x]=dp[p]+1>dp[x];
dp[x]=dp[p]+1;
for(int&t:adj[x])
if(t!=p)
dfs(t,x);
fd[x]=sd[x]=0;
for(int&t:adj[x])
{
if(t==p)
continue;
if(fd[x]<dp2[t])
sd[x]=fd[x],fd[x]=dp2[t];
else if(sd[x]<dp2[t])
sd[x]=dp2[t];
}
dp2[x]=fd[x]+1;
return;
}
int ans[250010],c[250010];
int c2;
void dfs2(int x,int p)
{
if(ch[x])
{
int up=max(1,dp[x]-fd[x]);
if(up<dp[x])
st.si(1,1,n,up,dp[x]-1,1);
ans[x]=c2-st.sq();
if(up<dp[x])
st.si(1,1,n,up,dp[x]-1,-1);
}
for(int&t:adj[x])
{
if(t==p)
continue;
int up=max(1,dp[x]-(dp2[t]==fd[x]?sd[x]:fd[x]));
if(up<dp[x])
st.si(1,1,n,up,dp[x]-1,1);
int pp=pos[c[x]];
bool cn=0;
if(pp==0||st.get(1,1,n,pp))
pos[c[x]]=dp[x],cn=1,st.set(1,1,n,dp[x],1),c2++;
dfs2(t,x);
if(cn)
pos[c[x]]=pp,st.set(1,1,n,dp[x],0),c2--;
if(up<dp[x])
st.si(1,1,n,up,dp[x]-1,-1);
}
return;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin>>n>>m;
for(int i=1;i<n;i++)
{
int u,v;
cin>>u>>v;
adj[u].eb(v);
adj[v].eb(u);
}
for(int i=0;i++<n;)
cin>>c[i];
dfs(1,0);
int l1=max_element(dp+1,dp+n+1)-dp;
dfs(l1,0);
for(int i=0;i++<n;)
ch[i]=1;
dfs2(l1,0);
int l2=max_element(dp+1,dp+n+1)-dp;
for(int i=0;i++<n;)
ch[i]=0;
dfs(l2,0);
dfs2(l2,0);
for(int i=0;i++<n;)
cout<<ans[i]<<'\n';
cout.flush();
return 0;
}
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