#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("unroll-loops")

#ifdef _MSC_VER
#pragma warning(disable : 4996)
#include <intrin.h>
#define __builtin_popcount __popcnt
#endif

#include <limits.h>
#include <math.h>
#include <time.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <complex>
#include <cstdio>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>

using namespace std;

#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPR(i, n) for (int i = n - 1; i >= 0; --i)
#define FOR(i, m, n) for (int i = m; i < n; ++i)
#define FORR(i, m, n) for (int i = m - 1; i >= n; --i)
#define SORT(v, n) sort(v, v + n);
#define VSORT(v) sort(v.begin(), v.end());
#define REVERSE(v, n) reverse(v, v + n);
#define VREVERSE(v) reverse(v.begin(), v.end())
#define ll long long
#define print(x) cout << (x) << '\n'
#define pe(x) cout << (x) << " "
#define DEBUG(x) cout << #x << ": " << x << endl
#define lb(v, n) lower_bound(v.begin(), v.end(), (n))
#define ub(v, n) upper_bound(v.begin(), v.end(), (n))
#define int long long
//#define double long double
#define all(x) (x).begin(), (x).end()
#define print_space(v) REP(i, v.size()) cout << v[i] << ((i == v.size() - 1) ? "\n" : " ")
template <typename T1, typename T2> inline void chmin(T1& a, T2 b) {
	if (a > b) a = b;
}
template <typename T1, typename T2> inline void chmax(T1& a, T2 b) {
	if (a < b) a = b;
}
typedef pair<int, int> pii;
typedef array<int, 3> arr3;
std::random_device rd;
std::mt19937 mt(rd());
constexpr ll MOD = 1e9 + 7;
constexpr int MAX = 200020;
const double pi = acos(-1);
constexpr double EPS = 1e-8;
constexpr ll INF = 1e18;


int N;

int col[200020];
vector<int>G[200020];
int sz[200020];
int par[200020];
int calc_size(int n) {
	int ret = 1;
	for (auto nxt : G[n]) {
		if (nxt == par[n])continue;
		par[nxt] = n;
		ret += calc_size(nxt);
	}
	return sz[n] = ret;
}
int ans[200020];

map<int, vector<int>> merge(map<int, vector<int>>&mp1, map<int, vector<int>>&mp2) {
	if (mp1.size() <= mp2.size()) {
		for (auto itr = mp1.begin(); itr != mp1.end(); itr++) {
			int c = itr->first;
			for (int v : itr->second) {
				mp2[c].push_back(v);
			}
		}
		return move(mp2);
	}
	else {
		for (auto itr = mp2.begin(); itr != mp2.end(); itr++) {
			int c = itr->first;
			for (int v : itr->second) {
				mp1[c].push_back(v);
			}
		}
		return move(mp1);
	}
}


map<int, vector<int>> dfs(int n) {
	map<int, vector<int>>mp;
	int c = col[n];
	for (auto nxt : G[n]) {
		if (nxt == par[n])continue;
		map<int, vector<int>>tmp = dfs(nxt);
		int m = sz[nxt];
		if (tmp.count(c)) {
			for (int &v : tmp[c]) {
				m -= sz[v];
			}
		}
		mp = merge(mp, tmp);

		ans[c] += m * m - m * (m - 1) / 2;
	}
	mp[c].clear();
	mp[c].push_back(n);

	return mp;
}
void solve() {
	cin >> N;
	REP(i, N) {
		cin >> col[i];
		col[i]--;
	}
	REP(i, N - 1) {
		int u, v; cin >> u >> v;
		u--, v--;
		G[u].push_back(v);
		G[v].push_back(u);
	}
	calc_size(0);
	map<int, vector<int>>mp;
	mp = dfs(0);
	REP(c, N) {
		int m = sz[0];
		for (int v : mp[c]) {
			m -= sz[v];
		}
		//assert(m >= 0);
		ans[c] += m * m - m * (m - 1) / 2;
		print(N*N - N * (N - 1) / 2 - ans[c]);
	}
}

signed main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	// int q; cin >> q;
	// while (q--)
	solve();
}


Measured memory_bytes: 87124