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#include <bits/stdc++.h>
using namespace std;
using ll	= long long;
using ull	= unsigned long long;
using ld	= long double;
using pii	= pair<int,int>;
using pll	= pair<ll,ll>;
using vi	= vector<int>;
using vb	= vector<bool>;
using vc	= vector<char>;
using vvc	= vector<vc>;
using vvi	= vector<vi>;
using vvb	= vector<vb>;
using vpii	= vector<pii>;
using vpll	= vector<pll>;
using vll	= vector<ll>;
using vvll	= vector<vll>;
using vull	= vector<ull>;
#define f first
#define s second
#define pb emplace_back
#define rep(i, begin, end) for(auto i = (begin); i <= (end); ++i)
#define repr(i, begin, end) for(auto i = (begin); i >= (end); --i)
#define bend(X) X.begin(), X.end()
#ifdef LOCAL
#define nl << endl
#define deb(x) cout << #x << " = " << x << endl
#define say(x) cout << x << endl
void print() { cout << endl; }
#else
#define nl << '\n'
#define deb(x)
#define say(x)
void print() { cout << '\n'; }
#endif
constexpr int INF = 1e9+1e7;
constexpr ll INFl = INF;
constexpr ll INFll = 1e18+1e16;
template <typename T, typename... Args> void print(T x, Args... args) { cout << x << ' '; print(args...); }
template <typename T1, typename T2> ostream& operator<<(ostream& os, pair<T1,T2> x) { os << '(' << x.f << ' ' << x.s << ')'; return os; }
template <typename T1, typename T2> istream& operator>>(istream& is, pair<T1,T2>& x) { is >> x.f >> x.s; return is; }
template <typename T> istream& operator>>(istream& is, vector<T>& x) { for(T& i : x) is >> i; return is; }
template <typename T> ostream& operator<<(ostream& os, vector<T>& x) { for(const T& i : x) os << i << ' '; return os; }
template <typename T> ostream& operator<<(ostream& os, set<T>& x) { for(const T& i : x) os << i << ' '; return os; }
template <typename T1, typename T2> ostream& operator<<(ostream& os, map<T1, T2>& x) { for(const auto& i : x) os << "(" << i.first << " : " << i.second << ") "; return os; }
template <typename T1, typename T2> pair<T1,T2> operator+(const pair<T1,T2>& A, const pair<T1,T2>& B) { return {A.f+B.f, A.s+B.s}; }
template <typename T1, typename T2> pair<T1,T2> operator-(const pair<T1,T2>& A, const pair<T1,T2>& B) { return {A.f-B.f, A.s-B.s}; }
template <typename T1, typename T2> pair<T1,T2> operator-(const pair<T1,T2>& A) { return {-A.f, -A.s}; }
template <typename T1, typename T2> bool maxe(T1& A, const T2& B) { return A<B ? A=B,true : false; }
template <typename T1, typename T2> bool mine(T1& A, const T2& B) { return B<A ? A=B,true : false; }

// ----------------------------------------------------------------
// ----------------------------------------------------------------

struct vertex {
	vpii e;
	ll v;
	int vis = -42;
};

int n;
vector<vertex> G;
vll R;

ll dfs(int v, int bm) {
	ll R = G[v].v;
	G[v].vis = bm;
	for(auto [u,i] : G[v].e) {
		if(G[u].vis != bm && (bm&(1<<i)))
			R += dfs(u, bm);
	}
	return R;
}

ll solve() {
	rep(bm, 0, (1<<(n-1))-1) {
		ll sum = 0;
		deb(bm);
		rep(i, 0, n-1)
			if(G[i].vis != bm) {
				ll x = dfs(i,bm);
				sum += x*x;
			}
		deb(sum);
		mine(R[n-__builtin_popcount(bm)-1], sum);
	}
	print(R);
	
	return -INF;
}

void in() {
	G.clear();
	R.clear();
	cin >> n;
	G.resize(n);
	R.resize(n, INFll);
	rep(i, 0, n-1)
		cin >> G[i].v;
	rep(i, 0, n-2) {
		int a, b;
		cin >> a >> b;
		--a; --b;
		G[a].e.pb(b,i);
		G[b].e.pb(a,i);
	}
}



int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	int noOfTests = 1;
	cin >> noOfTests;
	
	while(noOfTests --> 0) {
		in();
		ll result = solve();
		if     (result == ll(-'t')) cout << "TAK\n";
		else if(result == ll(-'n')) cout << "NIE\n";
		else if(result == ll(-'y')) cout << "YES\n";
		else if(result == ll(-'o')) cout << "NO\n";
		else if(result == ll(-'e')) cout << "Popsute\n";
		else if(result != -INF) cout << result << '\n';
	}
	
	return 0;
}