/* Aa^~ kokoro ga pyonpyon suru n jaa^~
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*/
#include<bits/stdc++.h>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x...) do { cout << "\033[32;1m " << #x << " -> "; err(x); } while (0)
void err() { cout << "\033[39;0m" << endl; }
template<template<typename...> class T, typename t, typename... A>
void err(T<t> a, A... x) { for (auto v: a) cout << v << ' '; err(x...); }
template<typename T, typename... A>
void err(T a, A... x) { cout << a << ' '; err(x...); }
#else
#define dbg(...)
#endif
typedef long long ll;
typedef pair<int,int> pi;
typedef vector<int> vi;
template<class T> using vc=vector<T>;
template<class T> using vvc=vc<vc<T>>;
template<class T> void mkuni(vector<T>&v)
{
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}
ll rand_int(ll l, ll r) //[l, r]
{
    static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
    return uniform_int_distribution<ll>(l, r)(gen);
}
template<class T>
void print(T x,int suc=1)
{
    cout<<x;
    if(suc==1) cout<<'\n';
    else cout<<' ';
}
template<class T>
void print(const vector<T>&v,int suc=1)
{
    for(int i=0;i<v.size();i++)
    print(v[i],i==(int)(v.size())-1?suc:2);
}
const int maxn=2e5+7;
int col[maxn];
vi G[maxn];
map<int,int> dp[maxn];
int sz[maxn];
int cnt[maxn];
ll ans[maxn];
void Merge(map<int,int> &a,map<int,int> &b)
{
    if(a.size()<b.size()) a.swap(b);
    for(auto u:b)
        a[u.first]+=u.second;
}
int n;
void dfs(int u,int fa=-1)
{
    sz[u]=1;
    for(auto v:G[u])if(v!=fa)
    {
        dfs(v,u);
        sz[u]+=sz[v];
        Merge(dp[u],dp[v]);
        dp[v].clear();
        int cur=sz[u]-dp[u][col[u]]-1;
        cnt[col[u]]+=cur;
        ans[col[u]]+=1LL*cur*(n-cnt[col[u]]);
        dp[u][col[u]]+=cur;
    }
    ans[col[u]]+=n-cnt[col[u]];
    cnt[col[u]]++;
    dp[u][col[u]]++;
}
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cin>>n;
    for(int i=1;i<=n;i++) cin>>col[i];
    for(int i=1,u,v;i<n;i++)
    {
        cin>>u>>v;
        G[u].push_back(v);
        G[v].push_back(u);
    }
    dfs(1);
    for(int i=1;i<=n;i++) print(ans[i]);
}

Measured memory_bytes: 61760