#include <bits/stdc++.h>

using i32 = int_fast32_t;
using i64 = int_fast64_t;
using u32 = uint_fast32_t;
using u64 = uint_fast64_t;
using f64 = double;
using f80 = long double;

#define FOR(v, a, b) for(i64 v = (a); v < (b); ++v)
#define FORE(v, a, b) for(i64 v = (a); v <= (b); ++v)
#define REP(v, n) FOR(v, 0, n)
#define REPE(v, n) FORE(v, 0, n)
#define REV(v, a, b) for(i64 v = (a); v >= (b); --v)
#define ALL(x) (x).begin(), (x).end()
#define RALL(x) (x).rbegin(), (x).rend()
#define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it)
#define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it)
#define EXIST(c,x) ((c).find(x) != (c).end())
#define fst first
#define snd second
#define UNIQ(v) (v).erase(unique(ALL(v)), (v).end())
#define bit(i) (1LL<<(i))

#ifdef DEBUG
#include <Mylib/Debug/debug.cpp>
#else
#define dump(...) ((void)0)
#endif

using namespace std;

template <typename I> void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost<<d; ost<<*i;}ost<<endl;}
template <typename T> istream& operator>>(istream &is, vector<T> &v){for(auto &a : v) is >> a; return is;}
template <typename T> void pout(const T &value){std::cout << value << "\n";}
template <typename T, typename ...Args> void pout(const T &value, const Args&... args){std::cout << value << " ";pout(args...);}

template <typename T, typename U> bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);}
template <typename T, typename U> bool chmax(T &a, const U &b){return (a<b ? a=b, true : false);}
template <typename T, size_t N, typename U> void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);}
template <typename T> auto make_vector(int n, int m, const T &value){return vector<vector<T>>(n, vector<T>(m, value));}


struct Init{
  Init(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(12);
    cerr << fixed << setprecision(12);
  }
}init;


template <typename Cost = int> class Edge{
public:
  int from,to;
  Cost cost;
  Edge() {}
  Edge(int to, Cost cost): to(to), cost(cost){}
  Edge(int from, int to, Cost cost): from(from), to(to), cost(cost){}

  Edge rev() const {return Edge(to,from,cost);}
  
  friend std::ostream& operator<<(std::ostream &os, const Edge &e){
    os << "(FROM: " << e.from << "," << "TO: " << e.to << "," << "COST: " << e.cost << ")";
    return os;
  }
};

template <typename T> using Graph = std::vector<std::vector<Edge<T>>>;
template <typename T> using Tree = std::vector<std::vector<Edge<T>>>;

template <typename C, typename T> void add_edge(C &g, int from, int to, T w){
  g[from].emplace_back(from, to, w);
}

template <typename C, typename T> void add_undirected(C &g, int a, int b, T w){
  add_edge(g, a, b, w);
  add_edge(g, b, a, w);
}


template <typename F>
struct FixPoint : F{
  explicit constexpr FixPoint(F &&f) noexcept : F(std::forward<F>(f)){}

  template <typename... Args>
  constexpr decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, std::forward<Args>(args)...);
  }
};

template <typename F>
static inline constexpr decltype(auto) make_fix_point(F &&f){
  return FixPoint<F>(std::forward<F>(f));
}

template <typename F>
static inline constexpr decltype(auto) make_fix_point(F &f){
  return FixPoint<F>(std::forward<F>(f));
}

auto calc(i64 n){
  return n * (n-1) / 2 + n;
};

int main(){
  int N;

  while(cin >> N){
    vector<int> c(N); cin >> c;
    REP(i,N) c[i] -= 1;
    
    Tree<int> tree(N);
    REP(i,N-1){
      int a, b; cin >> a >> b;
      --a, --b;
      add_undirected(tree, a, b, 1);
    }

    vector<int> s(N);

    {
      auto f =
        [&](auto &&f, int cur, int par = -1) -> int{
          s[cur] = 1;

          for(auto &e : tree[cur]){
            if(e.to == par) continue;
            s[cur] += f(e.to, cur);
          }

          return s[cur];
        };
      make_fix_point(f)(0);
    }

    vector<pair<int,int>> nearest(N, make_pair(-1, -1));
    {
      vector<vector<pair<int,int>>> m(N);

      auto f =
        [&](auto &&f, int cur, int par = -1) -> void{
          if(m[c[cur]].size()) nearest[cur] = m[c[cur]].back();
          

          REP(i,tree[cur].size()){
            auto &e = tree[cur][i];
            if(e.to == par) continue;
            m[c[cur]].emplace_back(cur, i);
            f(e.to, cur);
            m[c[cur]].pop_back();
          }

        };

      make_fix_point(f)(0);
    }

    vector<vector<vector<int>>> desc(N);
    REP(i,N) desc[i].resize(tree[i].size());
    REP(i,N){
      if(nearest[i] != make_pair(-1, -1)){
        desc[nearest[i].fst][nearest[i].snd].push_back(i);
      }
    }
    
    vector<i64> ans(N);

    {
      auto f =
        [&](auto &&f, int cur, int par = -1) -> void{

          REP(i,tree[cur].size()){
            auto &e = tree[cur][i];
            if(e.to == par) continue;

            f(e.to, cur);

            auto t = s[e.to];
            for(auto j : desc[cur][i]){
              t -= s[j];
            }
            ans[c[cur]] += calc(t);
          }
        };

      make_fix_point(f)(0);

      vector<int> a(N, s[0]);
      REP(i,N){
        if(nearest[i] == make_pair(-1, -1)) a[c[i]] -= s[i];
      }
      REP(i,N){
        ans[i] += calc(a[i]);
      }
    }

    REP(i,N) ans[i] = calc(N) - ans[i];

    join(cout, ALL(ans), "\n");
  }

  return 0;
}


Measured memory_bytes: 61608