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#include<bits/stdc++.h>
using namespace std;
 
ostream& operator<<(ostream &out, string str) {
	for(char c : str) out << c;
	return out;
}
 
template<class L, class R> ostream& operator<<(ostream &out, pair<L, R> p) {
	return out << "(" << p.first << ", " << p.second << ")";
}
 
template<class T> auto operator<<(ostream &out, T a) -> decltype(a.begin(), out) {
	out << "{";
	for(auto it = a.begin(); it != a.end(); it = next(it))
		out << (it != a.begin() ? ", " : "") << *it;
	return out << "}";
}
 
void dump() { cerr << "\n"; }
template<class T, class... Ts> void dump(T a, Ts... x) {
	cerr << a << ", ";
	dump(x...);
}
 
#ifdef DEBUG
#  define debug(...) cerr << "[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__)
#else
#  define debug(...) false
#endif
 
#define REP(i, n) for(int i = 0; i < n; i++)
#define FOR(i, a, b) for(int i = a; i <= b; i++)
#define ST first
#define ND second
 
template<class T> int size(T && a) { return (int) a.size(); }
 
using LL = long long;
using PII = pair<int, int>;

vector<int> a, sub;
vector<vector<int>> adj;

using T = vector<pair<int, LL>>;
vector<vector<T>> dp;

LL square(LL x) { return x * x; }

void upkeep(T &nt) {
	sort(nt.begin(), nt.end());
	LL bound = 1e18, bound2 = 1e18;
	T ret;
	for(auto &[x, y] : nt) {
		if(y < bound && square(x) + y < bound2) {
			bound = y, bound2 = square(x) + y;
			ret.emplace_back(x, y);
		}
	}
	swap(nt, ret);
}

void upkeep(vector<T> &nt) {
	for(auto &v : nt)
		upkeep(v);
}

void dfs(int v = 0, int p = -1) {
	sub[v] = 1;
	dp[v] = { {{a[v], 0}}, {}};
	for(int u : adj[v]) {
		if(u != p) {
			dfs(u, v);

			vector<T> nt(sub[v] + sub[u] + 1);
			REP(i, sub[v]) {
				REP(j, sub[u] + 1) {
					auto x = dp[v][i], y = dp[u][j];
					for(auto &[sx, cx] : x)
						for(auto &[sy, cy] : y)
							nt[i + j].emplace_back(sx + sy, cx + cy);
				}
			}
			sub[v] += sub[u];
			swap(dp[v], nt);
			upkeep(dp[v]);
		}
	}

	REP(i, sub[v]) 
		for(auto &[s, c] : dp[v][i]) 
			dp[v][i + 1].emplace_back(0, square(s) + c);

	upkeep(dp[v]);

	REP(i, sub[v] + 1)
		debug(v, i, dp[v][i]);

}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	int t;
	cin >> t;
	REP(_t, t) {
		int n;
		cin >> n;

		a = vector<int>(n);
		REP(i, n) 
			cin >> a[i];

		adj = vector<vector<int>>(n);
		REP(i, n - 1) {
			int x, y;
			cin >> x >> y;
			adj[x - 1].emplace_back(y - 1);
			adj[y - 1].emplace_back(x - 1);
		}

		sub = vector<int>(n);
		dp.clear(); dp.resize(n);

		dfs();

		FOR(i, 1, n)
			cout << dp[0][i][0].ND << " ";
		cout << "\n";
	}
}