#include <cassert>
#include <algorithm>
#include <array>
#include <bitset>
#include <cctype>
#include <cstdint>
#include <cmath>
#include <complex>
#include <chrono>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <vector>
#include <random>
#include <memory>
#include <utility>
#include <limits>

/* template start */
 
#define rep(i, a, b) for (long long i = (a); (i) < (b); (i)++)
#define all(i) i.begin(), i.end()
#define debug(...) std::cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)

void debug_out(){std::cerr<<std::endl;}

template<typename Head,typename... Tail>
void debug_out(Head h,Tail... t){
  std::cerr<<" "<<h;
  if(sizeof...(t)>0)std::cerr<<" :";
  debug_out(t...);
}
 
template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, std::pair<T1, T2> pa) {
  return os << pa.first << " " << pa.second;
}
 
template <typename T>
std::ostream& operator<<(std::ostream& os, std::vector<T> vec) {
  for (std::size_t i = 0; i < vec.size(); i++)os << vec[i] << (i + 1 == vec.size() ? "" : ",");
  return os;
}
 
template<typename T1,typename T2>
inline bool chmax(T1& a,T2 b){return a<b && (a=b,true);}
 
template<typename T1,typename T2>
inline bool chmin(T1& a,T2 b){return a>b && (a=b,true);}
 
long long pow_mod(long long a, long long b, long long mod=-1) {
  if(b==0)return 1;
  if ((a == 0)||(mod!=-1&&(a+mod)%mod==0))return 0;
  long long x = 1;
  while (b > 0) {
    if (b & 1)x = (mod!=-1)?(x * a) % mod:x*a;
    a = (mod!=-1)?(a * a) % mod:a*a;
    b >>= 1;
  }
  return x;
}

template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }

  friend std::ostream& operator<<(std::ostream& os,const modint vec) {
    os << vec.a;
    return os;
  } 

  constexpr bool operator==(const modint rhs) const noexcept {
    return a==rhs.a;
  }

  constexpr bool operator!=(const modint rhs)const noexcept {
    return !(*this==rhs);
  }

  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) {
      a -= Modulus;
    }
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) {
      a += Modulus;
    }
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp % 2) {
        *this *= rhs;
      }
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
};

using ll = long long;

int main() {
  std::cin.tie(nullptr);
  std::ios::sync_with_stdio(false);

  ll n;
  std::cin>>n;

  std::vector<ll> col(n);
  for(auto&& e:col){
    std::cin>>e;
    e--;
  }

  std::vector<std::vector<ll>> graph(n);
  rep(i,0,n-1){
    ll a,b;
    std::cin>>a>>b;
    a--;b--;
    graph[a].emplace_back(b);
    graph[b].emplace_back(a);
  }

  std::vector<ll> ans(n,0),size(n,0),cnt(n,0);

  auto dfs=[&](auto f,ll now,ll par)->void{
    size[now]=1;
    ll save=cnt[col[now]];
    for(auto&& e:graph[now]){
      if(e==par)continue;
      ll tmp=cnt[col[now]];
      f(f,e,now);
      ans[col[now]]+=(size[e]-(cnt[col[now]]-tmp))*(size[e]+1-(cnt[col[now]]-tmp))/2;
      size[now]+=size[e];
    }
    cnt[col[now]]=save+size[now];
  };

  dfs(dfs,0,-1);

  rep(i,0,n)ans[i]+=(n-cnt[i])*(n-cnt[i]+1)/2;

  rep(i,0,n)std::cout<<n*(n+1)/2 - ans[i]<<"\n";

  return 0;
}

Measured memory_bytes: 45384