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#include <bits/stdc++.h>

using namespace std;

typedef unsigned uint;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ldbl;
typedef pair<int, int> pii;
typedef pair<uint, uint> puu;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pull;
typedef pair<double, double> pdd;
typedef vector<int> vi;
typedef vector<uint> vu;
typedef vector<ll> vll;
typedef vector<ull> vull;
typedef vector<pii> vpii;
typedef vector<puu> vpuu;
typedef vector<pll> vpll;
typedef vector<pull> vpull;
typedef vector<string> vstr;
typedef vector<double> vdbl;
typedef vector<ldbl> vldbl;
#define pb push_back
#define ppb pop_back
#define pfr push_front
#define ppfr pop_front
#define emp emplace
#define empb emplace_back
#define be begin
#define rbe rbegin
#define all(x) (x).be(), (x).end()
#define rall(x) (x).rbe(), (x).rend()
#define fir first
#define sec second
#define mkp make_pair
#define brif(cond) if (cond) break
#define ctif(cond) if (cond) continue
#define retif(cond) if (cond) return
void canhazfast() {ios_base::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);}
template<typename T> T gcd(T a, T b) {return b ? gcd(b, a%b) : a;}
template<typename T> T extgcd(T a, T b, T &x, T &y)
{
    T x0 = 1, y0 = 0, x1 = 0, y1 = 1;
    while (b) {
        T q = a/b; a %= b; swap(a, b);
        x0 -= q*x1; swap(x0, x1);
        y0 -= q*y1; swap(y0, y1);
    }
    x = x0; y = y0; return a;
}
int ctz(uint x) {return __builtin_ctz(x);}
int ctzll(ull x) {return __builtin_ctzll(x);}
int clz(uint x) {return __builtin_clz(x);}
int clzll(ull x) {return __builtin_clzll(x);}
int popcnt(uint x) {return __builtin_popcount(x);}
int popcntll(ull x) {return __builtin_popcountll(x);}
int bsr(uint x) {return 31^clz(x);}
int bsrll(ull x) {return 63^clzll(x);}

typedef pair<ll, int> pli;

#define N 320
#define INF ((ll)9e16)

int id[N];
vi cc[N];
int used[N]; /// edge
int a[N];
pii edge[N];
vi adj[N];
ll ans[N];
pli jlist[N][N];

void join(int x, int y)
{
    //cerr << "join(" << x << ", " << y << ")\n";
    for (int v : cc[y]) {
        id[v] = x;
        cc[x].pb(v);
    }
    a[x] += a[y];
}

void split(int x, int y)
{
    //cerr << "split(" << x << ", " << y << ")\n";
    a[x] -= a[y];
    for (int v : cc[y]) {
        cc[x].ppb();
        id[v] = y;
    }
}

/// dbg
/*void dump_state(int n)
{
    cerr << "id ="; for (int i = 1; i <= n; ++i) cerr << setw(4) << id[i]; cerr << '\n';
    cerr << "a  ="; for (int i = 1; i <= n; ++i) cerr << setw(4) << a[i]; cerr << '\n';
}*/

ll get_weight(int i)
{
    return 2LL*a[id[edge[i].fir]]*a[id[edge[i].sec]];
}

void calc(int n, int k, ll res)
{
    //cerr << "calc(" << k << ", " << res << ")\n";
    ans[k] = min(ans[k], res);
    retif(k == 1);
    /// calc edge weights
    int m = 0;
    for (int i = 1; i < n; ++i) {
        ctif(used[i]);
        jlist[k][m++] = {get_weight(i), i};
    }
    sort(jlist[k], jlist[k]+m);
    //cerr << "  joinlist:\n   i       w\n";
    //for (int i = 0; i < m; ++i) cerr << setw(4) << jlist[k][i].sec << setw(8) << jlist[k][i].fir << '\n';
    for (int i = 0; i < m; ++i) {
        ll sum = 0;
        bool good = false;
        for (int j = 0; j < m-i; ++j) {
            sum += jlist[k][i+j].fir;
            if (res+sum < ans[k-1-j]) {
                good = true;
                break;
            }
        }
        if (!good) {
            for (int j = 0; j < i; ++j) --used[jlist[k][j].sec];
            return;
        }
        /// do join
        ll ew;
        int ei;
        tie(ew, ei) = jlist[k][i];
        ++used[ei];
        int x = id[edge[ei].fir];
        int y = id[edge[ei].sec];
        assert(x != y);
        if (cc[x].size() < cc[y].size()) swap(x, y);
        join(x, y);
        calc(n, k-1, res+ew);
        split(x, y);
    }
    /// all used:
    for (int j = 0; j < m; ++j) --used[jlist[k][j].sec];
}

void solve()
{
    int n, a_sum = 0;
    ll a_sqr_sum = 0;

    cin >> n;

    /// reset
    fill_n(used, n, 0);
    iota(id+1, id+1+n, 1);
    fill_n(ans+1, n, INF);
    for (int i = 1; i <= n; ++i) {
        adj[i].clear();
        cc[i].resize(1, i);
    }

    /// in
    for (int i = 1; i <= n; ++i) {
        cin >> a[i];
        a_sum += a[i];
        a_sqr_sum += (ll)a[i]*a[i];
    }
    for (int i = 1; i < n; ++i) {
        int u, v;
        cin >> u >> v;
        adj[u].pb(v);
        adj[v].pb(u);
        edge[i] = {u, v};
    }

    ans[1] = (ll)a_sum*a_sum;
    calc(n, n, a_sqr_sum); /// ?

    /// out
    for (int i = 1; i <= n; ++i) cout << ans[i] << ' ';
    cout << '\n';
}

int main()
{
    canhazfast();

    int t;
    cin >> t;
    for (; t; --t) solve();

    return 0;
}