#pragma region kyopro_template
#include <bits/stdc++.h>
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define each(x, v) for (auto &x : v)
#define all(v) (v).begin(), (v).end()
#define sz(v) ((int)(v).size())
#define mem(a, val) memset(a, val, sizeof(a))
#define ini(...)   \
  int __VA_ARGS__; \
  in(__VA_ARGS__)
#define inl(...)         \
  long long __VA_ARGS__; \
  in(__VA_ARGS__)
#define ins(...)      \
  string __VA_ARGS__; \
  in(__VA_ARGS__)
#define inc(...)    \
  char __VA_ARGS__; \
  in(__VA_ARGS__)
#define in2(s, t)                           \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i]);                         \
  }
#define in3(s, t, u)                        \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i]);                   \
  }
#define in4(s, t, u, v)                     \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i], v[i]);             \
  }
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
using namespace std;
void solve();
using ll = long long;
template <class T = ll>
using V = vector<T>;
using vi = vector<int>;
using vl = vector<long long>;
using vvi = vector<vector<int>>;
using vd = V<double>;
using vs = V<string>;
using vvl = vector<vector<long long>>;
using P = pair<long long, long long>;
using vp = vector<P>;
using pii = pair<int, int>;
using vpi = vector<pair<int, int>>;
constexpr int inf = 1001001001;
constexpr long long infLL = (1LL << 61) - 1;
template <typename T, typename U>
inline bool amin(T &x, U y) {
  return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
  return (x < y) ? (x = y, true) : false;
}
template <typename T, typename U>
ll ceil(T a, U b) {
  return (a + b - 1) / b;
}
constexpr ll TEN(int n) {
  ll ret = 1, x = 10;
  while (n) {
    if (n & 1) ret *= x;
    x *= x;
    n >>= 1;
  }
  return ret;
}

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
  os << p.first << " " << p.second;
  return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
  is >> p.first >> p.second;
  return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  int s = (int)v.size();
  for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
  return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (auto &x : v) is >> x;
  return is;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &... u) {
  cin >> t;
  in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U>
void out(const T &t, const U &... u) {
  cout << t;
  if (sizeof...(u)) cout << " ";
  out(u...);
}
template <typename T>
void die(T x) {
  out(x);
  exit(0);
}

#ifdef NyaanDebug
#include "NyaanDebug.h"
#define trc(...)                   \
  do {                             \
    cerr << #__VA_ARGS__ << " = "; \
    dbg_out(__VA_ARGS__);          \
  } while (0)
#define trca(v, N)       \
  do {                   \
    cerr << #v << " = "; \
    array_out(v, N);     \
  } while (0)
#define trcc(v)                             \
  do {                                      \
    cerr << #v << " = {";                   \
    each(x, v) { cerr << " " << x << ","; } \
    cerr << "}" << endl;                    \
  } while (0)
#else
#define trc(...)
#define trca(...)
#define trcc(...)
int main() { solve(); }
#endif

struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;

inline int popcount(unsigned long long a) { return __builtin_popcountll(a); }
inline int lsb(unsigned long long a) { return __builtin_ctzll(a); }
inline int msb(unsigned long long a) { return 63 - __builtin_clzll(a); }
template <typename T>
inline int getbit(T a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void setbit(T &a, int i) {
  a |= (1LL << i);
}
template <typename T>
inline void delbit(T &a, int i) {
  a &= ~(1LL << i);
}
template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
  return upper_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
vector<T> mkrui(const vector<T> &v) {
  vector<T> ret(v.size() + 1);
  for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
  return ret;
};
template <typename T>
vector<int> mkord(const vector<T> &v, function<bool(T, T)> f) {
  vector<int> ord(v.size());
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}
template <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

#pragma endregion

constexpr long long MOD = /**/ 1000000007;  //*/ 998244353;

template <typename G = vector<vector<int>>>
struct HeavyLightDecomposition {
  G &g;
  int idx;
  vector<int> size, depth, in, out, nxt, par;
  HeavyLightDecomposition(G &g, int root = 0)
      : g(g),
        idx(0),
        size(g.size(), 0),
        depth(g.size(), 0),
        in(g.size(), -1),
        out(g.size(), -1),
        nxt(g.size(), 0),
        par(g.size(), root) {
    dfs_sz(root);
    dfs_hld(root);
  }

  void build(int root) {
    dfs_sz(root);
    dfs_hld(root);
  }

  void dfs_sz(int cur) {
    size[cur] = 1;
    for (auto &dst : g[cur]) {
      if (dst == par[cur]) {
        if (g[cur].size() >= 2 && int(dst) == int(g[cur][0]))
          swap(g[cur][0], g[cur][1]);
        else
          continue;
      }
      depth[dst] = depth[cur] + 1;
      par[dst] = cur;
      dfs_sz(dst);
      size[cur] += size[dst];
      if (size[dst] > size[g[cur][0]]) {
        swap(dst, g[cur][0]);
      }
    }
  }

  void dfs_hld(int cur) {
    in[cur] = idx++;
    for (auto dst : g[cur]) {
      if (dst == par[cur]) continue;
      nxt[dst] = (int(dst) == int(g[cur][0]) ? nxt[cur] : int(dst));
      dfs_hld(dst);
    }
    out[cur] = idx;
  }

  template <typename F>
  void edge_query(int u, int v, const F &f) {
    while (1) {
      if (in[u] > in[v]) swap(u, v);
      if (nxt[u] != nxt[v]) {
        f(in[nxt[v]], in[v] + 1);
        v = par[nxt[v]];
      } else {
        if (u != v) f(in[u] + 1, in[v] + 1);
        break;
      }
    }
  }

  template <typename F>
  void node_query(int u, int v, const F &f) {
    while (1) {
      if (in[u] > in[v]) swap(u, v);
      if (nxt[u] != nxt[v]) {
        f(in[nxt[v]], in[v] + 1);
        v = par[nxt[v]];
      } else {
        f(in[u], in[v] + 1);
        break;
      }
    }
  }

  template <typename F>
  void sub_edge_query(int u, const F &f) {
    f(in[u] + 1, out[u]);
  }

  template <typename F>
  void sub_node_query(int u, const F &f) {
    f(in[u], out[u]);
  }

  int lca(int a, int b) {
    while (nxt[a] != nxt[b]) {
      if (in[a] < in[b]) swap(a, b);
      a = par[nxt[a]];
    }
    return depth[a] < depth[b] ? a : b;
  }
};

template <typename T>
struct edge {
  int src, to;
  T cost;

  edge(int to, T cost) : src(-1), to(to), cost(cost) {}
  edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

  edge &operator=(const int &x) {
    to = x;
    return *this;
  }

  operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T>>;
template <typename T>
using WeightedGraph = vector<Edges<T>>;
using UnweightedGraph = vector<vector<int>>;

// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
                      bool is_1origin = true) {
  UnweightedGraph g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    if (is_1origin) x--, y--;
    g[x].pb(y);
    if (!is_directed) g[y].pb(x);
  }
  return g;
}

// Input of Weighted Graph
template <typename T>
WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false,
                        bool is_1origin = true) {
  WeightedGraph<T> g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    cin >> c;
    if (is_1origin) x--, y--;
    g[x].eb(x, y, c);
    if (!is_directed) g[y].eb(y, x, c);
  }
  return g;
}

// Depth of Rooted Tree
// unvisited nodes : d = -1
vector<int> Depth(UnweightedGraph &g, int start = 0) {
  vector<int> d(g.size(), -1);
  auto dfs = [&](auto rec, int cur, int par = -1) -> void {
    d[cur] = par == -1 ? 0 : d[par] + 1;
    each(dst, g[cur]) {
      if (dst == par) continue;
      rec(rec, dst, cur);
    }
  };
  dfs(dfs, start);
  return d;
}

// Diameter of Tree
pair<int, int> Diameter(UnweightedGraph &g, int start = 0) {
  auto d = Depth(g, start);
  int u = max_element(begin(d), end(d)) - begin(d);
  d = Depth(g, u);
  int v = max_element(begin(d), end(d)) - begin(d);
  return make_pair(u, v);
}

// BIT

template< typename T >
struct BIT {
  int N; int max_2beki;

  vector< T > data;
  // 初期化 1-indexedでデータを管理する 0で初期化
  BIT(int size){
      N = ++size;
      data.assign(N, 0);
      max_2beki = 1;
      while(max_2beki * 2 <= N) max_2beki *= 2;
  }

  // [0,k](閉区間)の総和 閉区間に注意！
  T sum(int k) {
    if(k < 0) return 0; // k<0のとき0を返す
    T ret = 0;
    for(++k; k > 0; k -= k & -k) ret += data[k];
    return (ret);
  }

  // [l,r](閉区間)の総和
  inline T sum(int l,int r){
    return sum(r) - sum(l-1);
  }

  // 一点取得 更新はできないことに注意
  inline T operator[](int k){
    return sum(k) - sum(k-1);
  }

  // data[k] += x;
  void add(int k, T x) {
    for(++k; k < N; k += k & -k) data[k] += x;
  }

  // imos法 [l,r]にxを加算
  void imos(int l,int r,T x){
    add(l , x); add(r + 1 , -x);
  }

  // lower_bound sum(i)がval以上となる最小のi
  int lower_bound(T w){
    if(w <= 0) return 0;
    int x = 0;
    for(int k = max_2beki; k > 0; k /= 2){
      if(x+k <= N - 1 && data[x + k] < w){
        w -= data[x + k];
        x += k;
      }
    }
    return x;
  }

  // upper_bound sum(i)がvalより大きくなる最小のi
  int upper_bound(T w){
    if(w < 0) return 0;
    int x = 0;
    for(int k = max_2beki; k > 0; k /= 2){
      if(x+k <= N - 1 && data[x + k] <= w){
        w -= data[x + k];
        x += k;
      }
    }
    return x;
  }

};

void solve() {
  ini(N);
  vl c(N);
  in(c);
  each(x, c) x--;
  auto g = graph(N);
  HeavyLightDecomposition<> hld(g);

  vvi cs(N);
  rep(i, N) cs[c[i]].pb(i);
  rep(i, N) {
    sort(all(cs[i]), [&](int a, int b) { return hld.depth[a] > hld.depth[b]; });
  }

  vi dp(N);
  auto dfs = [&](auto rec, int cur, int par = -1) -> void {
    int ret = 1;
    each(dst, g[cur]) {
      if (dst == par) continue;
      rec(rec, dst, cur);
      ret += dp[dst];
    }
    dp[cur] = ret;
  };
  dfs(dfs, 0);
  BIT<int> bit(N+1);
  rep(i,N) bit.imos(hld.in[i],hld.in[i],dp[i]);

  int val = 0;
  auto upd = [&](int u, int v) { bit.imos(u, v - 1, val); };

  auto f = [&](ll n) -> ll { return n * (n + 1) / 2; };
  vl ans(N);

  rep(col, N) {
    ll bns = f(N);
    each(p, cs[col]) {
      bns -= f(bit.sum(0));
      ll curdp = bit.sum(hld.in[p]);
      val = -curdp;
      hld.node_query(0, p, upd);
      bns += f(bit.sum(0));
      each(chd, g[p]) {
        if (p == hld.par[chd])
          bns += f(bit.sum(hld.in[chd]));
      }
    }
    ans[col] = bns;
    for (int _ = sz(cs[col]) - 1; _ >= 0; _--) {
      int p = cs[col][_];
      ll curdp = 1;
      each(chd, g[p]) {
        if (p == hld.par[chd]) {
          curdp += bit.sum(hld.in[chd]);
        }
      }
      val = curdp;
      hld.node_query(0, p, upd);
    }
  }
  each(x, ans) x = f(N) - x;
  each(x, ans) out(x);
}


Measured memory_bytes: 50892