/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author zjsdut
 */

#ifndef ALGO_UTILS
#define ALGO_UTILS
#include <algorithm>
#include <vector>
template<typename A, typename B>
bool chkmin(A &a, const B &b) {
  if (b < a) {
    a = b;
    return true;
  }
  return false;
}

template<typename A, typename B>
bool chkmax(A &a, const B &b) {
  if (b > a) {
    a = b;
    return true;
  }
  return false;
}

using ll = long long;
using ull = unsigned long long;
using vl = std::vector<ll>;
using vb = std::vector<bool>;
using vi = std::vector<int>;
using pii = std::pair<int, int>;
using pli = std::pair<ll, int>;
using pll = std::pair<ll, ll>;
template<typename T> using vv = std::vector<std::vector<T>>;
#define rng(i, a, b) for (std::common_type<decltype(a),decltype(b)>::type i = a; i < b; ++i)
#define up(i, a, b) for (std::common_type<decltype(a),decltype(b)>::type  i = a; i <= b; ++i)
#define down(i, b, a) for (std::common_type<decltype(a),decltype(b)>::type i = b; i >= a; i--)
#define TOKENPASTE(x, y) x##y
#define TOKENPASTE2(x, y) TOKENPASTE(x, y)
#define rep(n)                                                                 \
  for (int TOKENPASTE2(_iter_, __LINE__) = 0,                                  \
                               TOKENPASTE2(_num_, __LINE__) = n;        \
       TOKENPASTE2(_iter_, __LINE__) < TOKENPASTE2(_num_, __LINE__);           \
       ++TOKENPASTE2(_iter_, __LINE__))
#define FOR(x, cont) for (const auto &x : cont)
#define For(x, cont) for (auto &x : cont)
#define all(x) begin(x), end(x)
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define ep emplace
#define SZ(x) (int)(x).size()
#define UNIQ(vec) (vec).erase(std::unique(all(vec)), std::end(vec))
#define LB(cont, x) int(std::lower_bound(all(cont), x) - std::begin(cont))
#define UB(cont, x) int(std::upper_bound(all(cont), x) - std::begin(cont))
#endif
#ifndef JHELPER_EXAMPLE_PROJECT_LIBRARY_IO_HPP_
#define JHELPER_EXAMPLE_PROJECT_LIBRARY_IO_HPP_
#include <iostream>
#include <iomanip>
struct fast_ios {
  fast_ios() {
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
    std::cout << std::fixed << std::setprecision(10);
  };
} fast_ios_;

template<typename T>
std::istream &operator>>(std::istream &stream, std::vector<T> &vec) {
  for (auto &x : vec)
    stream >> x;
  return stream;
}

template<typename T, typename U>
std::istream &operator>>(std::istream &in, std::pair<T, U> &p) {
  in >> p.first >> p.second;
  return in;
}

void scan() {}

template<class T, class... Args>
void scan(T &a, Args &... rest) {
  std::cin >> a;
  scan(rest...);
}

template<typename T>
std::ostream &operator<<(std::ostream &stream, const std::vector<T> &vec) {
  bool first = true;
  for (const T &t : vec) {
    if (first) first = false;
    else std::cout << ' ';
    std::cout << t;
  }
  return stream;
}

template<typename T>
void print(const std::vector<T> &t) {
  std::cout << t << '\n';
}

template<typename T>
void print(const std::vector<std::vector<T>> &t) {
  for (const auto &row : t) {
    print(row);
  }
}

template<typename T>
void print(const T &t) { std::cout << t << ' '; }

template<typename T, typename... Args>
void print(const T &t, const Args &... rest) {
  print(t);
  print(rest...);
}

template<typename T>
void println(const T &t) { std::cout << t << '\n'; }

template<typename T, typename... Args>
void println(const T &t, const Args &... rest) {
  print(t);
  println(rest...);
}
#endif //JHELPER_EXAMPLE_PROJECT_LIBRARY_IO_HPP_

#include <functional>

#include <bitset>
using std::to_string;
std::string to_string(const std::string &s) { return '"' + s + '"'; }

std::string to_string(const char *s) { return to_string((std::string) s); }

std::string to_string(bool b) { return (b ? "true" : "false"); }

template<typename A, typename B>
std::string to_string(const std::pair<A, B> &p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template<size_t N>
std::string to_string(const std::bitset<N> &bs) {
  return bs.to_string();
}
template<typename A>
std::string to_string(const A &v) {
  bool first = true;
  std::string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}

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

template<typename Head, typename... Tail>
void debug_out(const Head &H, const Tail &... T) {
  std::cerr << " " << to_string(H);
  debug_out(T...);
}

#if defined LOCAL
#define debug(...) std::cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

using namespace std;

class FPathPassI {
  static void SOLVE() {
    int n;
    scan(n);
    vi c(n);
    scan(c);
    vv<int> g(n);
    rep(n - 1) {
      int u, v;
      scan(u, v);
      --u, --v;
      g[u].pb(v), g[v].pb(u);
    }
    // v[i]: vertices of color i in the current path of DFS
    vi cnt(n), sz(n), son(n), par(n);
    vi top(n + 1);
    vv<int> v(n + 1);
    function<void(int, int)> dfs = [&](int u, int fa) {
      par[u] = fa;
      sz[u] = 1;
      v[c[u]].pb(u);
      FOR (x, g[u]) {
        if (x != fa) {
          son[u] = x;
          dfs(x, u);
          sz[u] += sz[x];
        }
      }
      v[c[u]].pop_back();
      if (!v[c[u]].empty()) {
        int t = son[v[c[u]].back()];
        if (t != u) {
          cnt[t] += sz[u];
        }
      } else {
        top[c[u]] += sz[u];
      }
    };
    auto calc = [](int x) {
      return 1ll * x * (x + 1) / 2;
    };
    dfs(0, -1);
    vl ans(n + 1);
    up (i, 1, n) {
      debug(top[i]);
      ans[i] += calc(n - top[i]);
    }
    rng (i, 0, n) {
      if (par[i] != -1 && c[i] != c[par[i]])
        ans[c[par[i]]] += calc(sz[i] - cnt[i]);
    }
    ll tot = calc(n);
    up (color, 1, n) {
      println(tot - ans[color]);
    }
  }

 public:
  static void solve(std::istream &in, std::ostream &out) {
    auto cin_buff = std::cin.rdbuf(in.rdbuf());
    auto cerr_buff = std::cerr.rdbuf(std::cout.rdbuf(out.rdbuf()));
    SOLVE();
    std::cout.rdbuf(std::cerr.rdbuf(cerr_buff));
    std::cin.rdbuf(cin_buff);
  }
};


int main() {
  FPathPassI solver;
  std::istream& in(std::cin);
  std::ostream& out(std::cout);
  solver.solve(in, out);
  return 0;
}


Measured memory_bytes: 44492