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

inline int nextInt() { int n; scanf("%d", &n); return n; }

vector<vector<int> > graph;
int deg[300];

struct Item {
	int k;
	int s;
	long long s2;

	bool operator<(const Item &oth) {
		if (k != oth.k) return k < oth.k;
		if (s != oth.s) return s < oth.s;
		return s2 < oth.s2;
	}
};

typedef vector<Item> Data;

Data vData[300];
int value[300];

void addEdge(int a, int b) {
	graph[a].push_back(b);
	graph[b].push_back(a);
}

void readGraph(int n) {
	graph = vector<vector<int> >(n, vector<int>());
	for (int i=0; i<n; ++i) {
		vData[i] = Data(1, {0, 0, 0} );
	}

	for (int i=0; i<n; ++i) value[i] = nextInt();
	for (int i=1; i<n; ++i) {
		int a = nextInt() - 1;
		int b = nextInt() - 1;
		addEdge(a, b);
	}
}

void makeGraph(int n) {
//	initGraph(n);

	map<int, int> l1;
	for (int i=0; i<n-2; ++i) l1[i] = rand() % n;

	set<int> l2;
	for (int i=0; i<n; ++i) l2.insert(i);

	int c = 0;
	while (!l1.empty()) {
		set<int> l1val;
		for (map<int, int>::iterator it = l1.begin(); it != l1.end(); ++it) l1val.insert(it->second);
		int i;
		for (set<int>::iterator it = l2.begin(); it != l2.end(); ++it) {
			if (l1val.count(*it) > 0) continue;
			i = *it;
			break;
		}
		addEdge(i, l1[c]);
		l1.erase(c);
		l2.erase(i);
		++c;
	}
	int v1 = *l2.begin();
	l2.erase(l2.begin());
	int v2 = *l2.begin();
	addEdge(v1, v2);
}


void solve() {
	int n = nextInt();
	readGraph(n);

	queue<int> q;
	for (int i=0; i<n; ++i) {
		deg[i] = graph[i].size();
		if (deg[i] == 1) {
			q.push(i);
		}
//		fprintf(stderr, "v with deg 1: %d\n", i + 1);
	}

	int finish;
	while (!q.empty()) {
		int v = q.front(); q.pop();
		if (graph[v].empty()) {
//			fprintf(stderr, "finish vertex %d\n", v + 1);
			finish = v;
			break;
		}
		int vv = graph[v][0];
		for (int i=0; i<graph[vv].size(); ++i) if (graph[vv][i] == v) {
			if (i < graph[vv].size() - 1) {
				graph[vv][i] = graph[vv].back();
			}
			graph[vv].pop_back();
		}
		if (graph[vv].size() == 1) q.push(vv);

//		fprintf(stderr, "process %d => %d\n", v + 1, vv + 1);
//		for (int i=0; i<vData[v].size(); ++i)
//			fprintf(stderr, "    vertex %d item %d %d %lld\n", v+1, vData[v][i].k, vData[v][i].s, vData[v][i].s2);
//		for (int i=0; i<vData[vv].size(); ++i)
//			fprintf(stderr, "        vertex %d item %d %d %lld\n", vv+1, vData[vv][i].k, vData[vv][i].s, vData[vv][i].s2);

		Data newData;
		Data &d1 = vData[v];
		Data &d2 = vData[vv];
		for (int i=0; i<d1.size(); ++i) {
			for (int j=0; j<d2.size(); ++j) {
				newData.push_back({
					d1[i].k + d2[j].k,
					d1[i].s + d2[j].s + value[v],
					d1[i].s2 + d2[j].s2
				});
				newData.push_back({
					d1[i].k + d2[j].k + 1,
					d2[j].s,
					d1[i].s2 + d2[j].s2 + 1LL * (d1[i].s + value[v]) * (d1[i].s + value[v])
				});
			}
		}
		sort(newData.begin(), newData.end());
		Data newData2;
		newData2.push_back(newData[0]);
		for (int i=1; i<newData.size(); ++i) {
			if (newData2.back().k == newData[i].k) {
				long long L = newData2.back().s2 - newData[i].s2;
				L += 1LL * newData2.back().s * newData2.back().s;
				L -= 1LL * newData[i].s * newData[i].s;
				long long R = 2LL * value[vv] * (newData[i].s - newData2.back().s);
				if (L <= R) {
//					fprintf(stderr, "            skip %d %d %lld => %d %d %lld with value %d\n",
//						newData2.back().k,
//						newData2.back().s,
//						newData2.back().s2,
//						newData[i].k,
//						newData[i].s,
//						newData[i].s2,
//						value[vv]
//					);
					continue;
				}
			}
			newData2.push_back(newData[i]);
		}

		swap(newData2, d2);

//		for (int i=0; i<vData[vv].size(); ++i)
//			fprintf(stderr, "                new vertex %d item %d %d %lld\n", vv+1, vData[vv][i].k, vData[vv][i].s, vData[vv][i].s2);
	}

	vector<long long> res(n, 1000000000000000000LL);
	for (int i=0; i<vData[finish].size(); ++i) {
		int k = vData[finish][i].k;
		int s = vData[finish][i].s;
		long long s2 = vData[finish][i].s2;
		long long cur = s2 + 1LL * (s + value[finish]) * (s + value[finish]);
		if (cur < res[k]) res[k] = cur;
	}
	for (int i=0; i<n; ++i) printf("%lld%s", res[i], i+1==n ? "\n" : " ");
}


int main() {
	int TC = nextInt();
	for (int tc=0; tc<TC; ++tc) solve();

	return 0;
}