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#include <bits/stdc++.h>
using namespace std;
#define PII pair<int, int>
#define VI vector<int>
#define VPII vector<PII>
#define LL long long
#define LD long double
#define f first
#define s second
#define MP make_pair
#define PB push_back
#define endl '\n'      // UWAGA
#define ALL(c) (c).begin(), (c).end()
#define SIZ(c) (int)(c).size()
#define REP(i, n) for(int i = 0; i < (int)(n); ++i)
#define FOR(i, b, e) for(int i = (b); i <= (int)(e); ++i)
#define FORD(i, b, e) for(int i = (b); i >= (int)(e); --i)
#define random_shuffle(V) shuffle(V, rng)

#define sim template<class n
sim, class s> ostream & operator << (ostream &p, pair<n, s> x)
{return p << "<" << x.f << ", " << x.s << ">";}
sim> auto operator << (ostream &p, n y) ->
typename enable_if<!is_same<n, string>::value, decltype(y.begin(), p)>::type 
{int o = 0; p << "{"; for(auto c: y) {if(o++) p << ", "; p << c;} return p << "}";}
void dor() {cerr << endl;}
sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);}
sim, class s> void mini(n &p, s y) {if(p>y) p = y;}
sim, class s> void maxi(n &p, s y) {if(p<y) p = y;}
#ifdef DEB
#define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__)
#else
#define debug(...)
#endif 

#define I(x) #x " =", (x), " "
#define A(a, i) #a "[" #i " =", i, "] =", a[i], " "


const int MXN = 305;
#define PLL pair<LL, LL>
#define VPLL vector<PLL>

struct result
  {
  vector<VPLL> V; // dla każdego k pary (wielkość aktualna, wynik)
  int siz;
  result(int sizz) : V(sizz+1), siz(sizz) {}
  };

inline LL get(PLL &x)
  {
  return x.f * x.f + x.s;
  }

void append(VPLL &res, PLL x)
  {
  while(res.size() && ((res.back().f >= x.f && res.back().s >= x.s) || (get(x) <= get(res.back()) && x.f <= res.back().f)))
    res.pop_back();

  if(res.size() && ((res.back().f <= x.f && res.back().s <= x.s) || (x.f >= res.back().f && get(x) >= get(res.back()))));
  else res.PB(x);

  // assert(res.size() < 300);
  }

// void check(VPLL &V)
//   {
//   REP(i, (int)V.size()-1)
//     {
//     assert(V[i].f <= V[i+1].f);
//     assert(V[i].s >= V[i+1].s);
//     assert(get(V[i]) >= get(V[i+1]));
//     }
//   }


void merge_vec(VPLL &a, VPLL &b) // skleja dwa posortowane wektory i zapiszuje wynik w a
  {
  VPLL res;
  int i = 0;
  int j = 0;
  while(i < (int)a.size() || j < (int)b.size())
    {
    if(j == (int)b.size() || (i < (int)a.size() && a[i].f < b[j].f))
      append(res, a[i++]);
    else
      append(res, b[j++]);
    }
  a = res;
  // check(a);
  }

result merge(result &A, result &B)
  {
  result C(A.siz + B.siz);
  FOR(b, 1, B.siz)
    {
    LL res = 1e18;
    for(auto &bb: B.V[b])
      {
      mini(res, get(bb));
      }
    FOR(a, 1, A.siz)
      {
      VPLL pom;
      for(auto &aa: A.V[a])
        {
        pom.PB(MP(aa.f, aa.s + res));
        }
      merge_vec(C.V[a+b], pom);
      }
    FOR(a, 1, A.siz)
      {
      VPLL pom;
      for(auto &bb: B.V[b])
        {
        for(auto &aa: A.V[a])
          pom.PB(MP(aa.f + bb.f, aa.s + bb.s));
        }
      // assert(pom.size() < 6000);
      sort(ALL(pom));
      merge_vec(C.V[a+b-1], pom);
      }
    }
  return C;
  }

VI V[MXN];
int in[MXN];
int cnt = 0;

result dfs(int v, int par)
  {
  vector<result> results;
  for(auto i: V[v])
    {
    if(i == par)continue;
    auto x = dfs(i, v);
    results.PB(x);
    }

  result act(1);
  act.V[1].PB(MP(in[v], 0));
  REP(j, results.size())
    {
    act = merge(act, results[j]);
    }
  return act;
  }

void solve()
  {
  int n;
  cin >> n;
  FOR(i, 1, n)V[i].clear();
  FOR(i, 1, n)cin >> in[i];
  REP(i, n-1)
    {
    int a, b;
    cin >> a >> b;
    V[a].PB(b);
    V[b].PB(a);
    }
  auto res = dfs(1, 0);
  FOR(i, 1, n)
    {
    LL val = 1e18;
    for(auto j: res.V[i])mini(val, j.f * j.f + j.s);
    cout << val << " ";
    }
  cout << endl;
  }

int main()
  {
  ios_base::sync_with_stdio(0);
  int z;
  cin >> z;
  while(z--)solve();
  }