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#include <bits/stdc++.h>
#define MP make_pair
#define PB push_back
#define int long long
#define st first
#define nd second
#define rd third
#define FOR(i, a, b) for(int i =(a); i <=(b); ++i)
#define RE(i, n) FOR(i, 1, n)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)
#define REP(i, n) for(int i = 0;i <(n); ++i)
#define VAR(v, i) __typeof(i) v=(i)
#define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define __builtin_ctz __builtin_ctzll
#define __builtin_clz __builtin_clzll
#define __builtin_popcount __builtin_popcountll
using namespace std;
template<typename TH> void _dbg(const char* sdbg, TH h) { cerr<<sdbg<<"="<<h<<"\n"; }
template<typename TH, typename... TA> void _dbg(const char* sdbg, TH h, TA... t) {
  while(*sdbg != ',') { cerr<<*sdbg++; } cerr<<"="<<h<<","; _dbg(sdbg+1, t...);
}
#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<"\n"; }}
#else
#define debug(...) (__VA_ARGS__)
#define debugv(x)
#define cerr if(0)cout
#endif
#define next ____next
#define prev ____prev
#define left ____left
#define hash ____hash
typedef long long ll;
typedef long double LD;
typedef pair<int, int> PII;
typedef pair<ll, ll> PLL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<ll> VLL;
typedef vector<pair<int, int> > VPII;
typedef vector<pair<ll, ll> > VPLL;

template<class C> void mini(C&a4, C b4){a4=min(a4, b4); }
template<class C> void maxi(C&a4, C b4){a4=max(a4, b4); }
template<class T1, class T2>
ostream& operator<< (ostream &out, pair<T1, T2> pair) { return out << "(" << pair.first << ", " << pair.second << ")";}
template<class A, class B, class C> struct Triple { A first; B second; C third;
  bool operator<(const Triple& t) const { if (st != t.st) return st < t.st; if (nd != t.nd) return nd < t.nd; return rd < t.rd; } };
template<class T> void ResizeVec(T&, vector<int>) {}
template<class T> void ResizeVec(vector<T>& vec, vector<int> sz) {
  vec.resize(sz[0]); sz.erase(sz.begin()); if (sz.empty()) { return; }
  for (T& v : vec) { ResizeVec(v, sz); }
}
typedef Triple<int, int, int> TIII;
template<class A, class B, class C>
ostream& operator<< (ostream &out, Triple<A, B, C> t) { return out << "(" << t.st << ", " << t.nd << ", " << t.rd << ")"; }
template<class T> ostream& operator<<(ostream& out, vector<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }
template<class T> ostream& operator<<(ostream& out, set<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }
template<class L, class R> ostream& operator<<(ostream& out, map<L, R> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }

const int N = 313;
const int kInf = 1e18;
struct Sol {
  int S;
  vector<vector<VPII>> dp;
  
  // (x, y) \in dp[v][i] - zuzylem i krawedzi i sumaryczny score to x a składowa korzenia ma wage y
  VI vis;
  VVI slo;
  VI a;
  void Dfs(int v) {
    vis[v] = 1;
    dp[v].PB({{a[v] * a[v], a[v]}});
    for (auto nei : slo[v]) {
      if (vis[nei]) { continue; }
      Dfs(nei);
      vector<VPII> ndp(SZ(dp[v]) + SZ(dp[nei]));
      REP (L, SZ(dp[v])) {
        REP (R, SZ(dp[nei])) {
          for (auto& pL : dp[v][L]) {
            for (auto& pR : dp[nei][R]) {
              ndp[L + R + 1].PB({pL.st + pR.st, pL.nd}); // tne
              ndp[L + R].PB({pL.st + pR.st + 2 * pL.nd * pR.nd, pL.nd + pR.nd}); // nie tne
            }
          }
        }
      }
      dp[v].resize(SZ(ndp));
      REP (i, SZ(ndp)) {
        VPII filtered;
        int biggest_y = kInf;
        sort(ALL(ndp[i]));
        for (auto& p : ndp[i]) {
          if (biggest_y <= p.nd) { continue; }
          filtered.PB(p);
          biggest_y = p.nd;
        }
        dp[v][i] = filtered;
      }
    }
  }
  void Test() {
    S = 0;
    int n;
    cin>>n;
    dp.resize(n + 2);
    vis.resize(n + 2);
    slo.resize(n + 2);
    a.resize(n + 2);
    RE (i, n) {
      cin>>a[i];
    }
    RE (i, n - 1) {
      int aa, b;
      cin>>aa>>b;
      slo[aa].PB(b);
      slo[b].PB(aa);
    }
    Dfs(1);
    REP (k, n) {
      cout<<dp[1][k][0].st<<" ";
      assert(k == 0 || dp[1][k][0].st < dp[1][k - 1][0].st);
    }
    cout<<endl;
  }
};




    

int32_t main() {

  ios_base::sync_with_stdio(0);
  cout << fixed << setprecision(10);
  cerr << fixed << setprecision(10);
  cin.tie(0);
  //double beg_clock = 1.0 * clock() / CLOCKS_PER_SEC;
  
  int t;
  cin>>t;
  RE (i, t) {
    Sol sol;
    sol.Test();
  }
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  return 0;
}