#include <bits/stdc++.h>
using namespace std;

// clang-format off
#define  range(i, l, r) for (int i = (int)(l); i < (int)(r); ++(i))
#define rrange(i, l, r) for (int i = (int)(r) - 1; i >= (int)(l); --(i))

#define  whole(f, x, ...) ([&](decltype((x)) container) { return (f)(  begin(container),  end(container), ## __VA_ARGS__); })(x)
#define rwhole(f, x, ...) ([&](decltype((x)) container) { return (f)( rbegin(container), rend(container), ## __VA_ARGS__); })(x)

#define endl '\n'
#define debug(x) cerr << "(" << __LINE__ << ")" << #x << ": " << (x) << endl

using i32 = int;
using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;

// constexpr i32 mod   = 998244353;
constexpr i32 mod   = 1e9 + 7;
constexpr i32 inf   = 1001001001;
constexpr i64 infll = 1001001001001001001ll;

constexpr int dx[] = {0, -1, 1, 0, -1, 1, -1, 1}; 
constexpr int dy[] = {-1, 0, 0, 1, -1, -1, 1, 1};

struct IoSetup { IoSetup(int x = 15){ cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(x); cerr << fixed << setprecision(x); } } iosetup;

template <typename T = i64> T input() { T x; cin >> x; return x; }

template <typename T> ostream &operator<<(ostream &os, vector<T> &v) { range(i, 0, v.size()) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } 
template <typename T> istream &operator>>(istream &is, vector<T> &v) { for (T &in : v) is >> in; return is; }

template <typename T1, typename T2> ostream &operator<<(ostream &os, pair<T1, T2> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
template <typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p) { is >> p.first >> p.second; return is; }

template <typename T> vector<T> make_vector(size_t a, T b) { return vector<T>(a, b); }
template <typename... Ts> auto make_vector(size_t a, Ts... ts) { return vector<decltype(make_vector(ts...))>(a, make_vector(ts...)); }

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); }
// clang-format on

void solver() {
    int N = input();
    vector< int > c(N);
    cin >> c;
    for (auto &i: c) i--;
    
    auto G = make_vector(N, 0, 0);
    range(i, 0, N - 1) {
        int a = input() - 1;
        int b = input() - 1;
        G[a].push_back(b);
        G[b].push_back(a);
    }
    
    vector< i64 > cnt(N);
    function<int(int, int)> calc = [&](int v, int p) {
        for (auto &u: G[v]) {
            if (u == p) continue;
            cnt[v] += calc(u, v);
        }
        
        cnt[v]++;
        return cnt[v];
    };

    calc(0, -1);

    vector< i64 > ans(N);
    vector< i64 > sub(N, N);
    function< void(int, int) > dfs = [&](int v, int p) {
        i64 n = sub[c[v]];
        i64 sz = sub[c[v]];
        vector< i64 > s;

        s.push_back(sz - cnt[v]);
        for (auto &u: G[v]) {
            if (u == p) continue;
            dfs(u, v);
            s.push_back(cnt[u] - (sz - sub[c[v]]));
            sz = sub[c[v]];
        }

        range(i, 1, s.size()) {
            s[i] += s[i - 1];
        }
        
        range(i, 0, s.size()) {
            i64 a = s[i];
            if (i) a -= s[i - 1];
            ans[c[v]] += a * (s.back() - s[i]);
        }
       
        ans[c[v]] += sz;

        sub[c[v]] = n - cnt[v];
    };
        
    dfs(0, -1);

    cout << ans << endl;
}

signed main(int argc, char *argv[]) {
    solver();
}


Measured memory_bytes: 57000