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// while (clock()<=69*CLOCKS_PER_SEC)
// #pragma comment(linker, "/stack:200000000")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// #pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#define pb push_back
#define SZ(x) ((int)(x).size())
#define ALL(x) x.begin(),x.end()
#define all(x) x.begin(),x.end()
#define fi first
#define se second
#define _upgrade ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define erase_duplicates(x) sort(all(x)); (x).resize(distance((x).begin(), unique(all(x))));


using namespace std;
using namespace __gnu_pbds;
template<typename T>
using ordered_set = tree<
T,
null_type,
less<T>,
rb_tree_tag,
tree_order_statistics_node_update>;

//X.find_by_order(k); - zwraca iterator na k-ty element (numeracja od zerowego)
//X.order_of_key(k); - zwraca liczbę elementów ostro mniejszych niż k

typedef long long LL;
typedef pair<int,int> PII;
typedef pair<LL,LL> PLL;
typedef vector<PII> VPII;
typedef vector<PLL> VPLL;
typedef vector<LL> VLL;
typedef vector<int> VI;
typedef vector<string> VS;
typedef vector<char> VC;
typedef long double LD;
typedef pair<LD,LD> PLD;
typedef vector<LD> VLD;
typedef vector<PLD> VPLD;

template<class TH> void _dbg(const char *sdbg, TH h){ cerr<<sdbg<<" = "<<h<<endl; }
template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) {
  while(*sdbg!=',')cerr<<*sdbg++;
  cerr<<" = "<<h<<", "; _dbg(sdbg+1, a...);
}

#ifdef LOCAL
#define dbg(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#else
#define dbg(...)
#define cerr if(0)cout
#endif

const int maxn = (300)+7;
const int maxk = 20;
const int inf = (1e9)+7;
const LL LLinf = ((LL)1e18)+7LL;
const LD eps = 1e-9;
const LL mod = 1e9+7;

// ***************************** CODE ***************************** //

LL a[maxn];
VI wek[maxn];
VPLL odp[maxn][maxn]; // (sum, currentSum)
VPLL tmpRes[maxn];
int n;

void optimize(int who) {
  for(int i = 0;i <= n;i++) {
    sort(all(odp[who][i]));
    VPLL res;
    for(auto s : odp[who][i]) {
      if((SZ(res) == 0 or s.se < res.back().se)) {
        while(SZ(res) > 0) {
          if(res.back().fi + res.back().se * res.back().se > s.fi + s.se * s.se) { //s.fi - res.back().fi + s.se * s.se - res.back().se * res.back().se < 0) {
            res.pop_back();
          } else {
            break;
          }
        }
        res.pb(s);
      }
    }
    odp[who][i] = res;
  }
}

void merge(int father, int son) {
  for(int i = 0;i <= n;i++) {
    tmpRes[i].clear();
  }
  for(int i = 0;i <= n;i++) {
    for(int j = 0;j + i <= n;j++) {
      for(auto s : odp[father][i]) {
        for(auto v : odp[son][j]) {
          tmpRes[i + j].pb({s.fi + v.fi, s.se + v.se});
        }
      }
    }
  }
  for(int i = 0;i <= n;i++) {
    odp[father][i] = tmpRes[i];
  }
  for(int i = 0;i <= n;i++) {
    tmpRes[i].clear();
  }
  optimize(father);
}

void dfs(int x, int f = -1) {
  for(auto s : wek[x]) {
    if(s != f) {
      dfs(s, x);
      merge(x, s);
    }
  }
  for(int i = 0;i < n;i++) {
    for(auto s : odp[x][i]) {
      odp[x][i + 1].pb({s.fi + s.se * s.se, 0});
    }
  }
  optimize(x);
  int maxi = 0;
  int suma = 0;
  for(int i = 0;i <= n;i++) {
    maxi = max(maxi, SZ(odp[x][i]));
    suma += SZ(odp[x][i]);
  }
}

int main()
{
	_upgrade
  int t;
  cin>>t;
  while(t--) {
    cin>>n;
    for(int i = 1;i <= n;i++) {
      cin>>a[i];
      wek[i].clear();
      odp[i][0] = {{0LL, a[i]}};
      for(int j = 1;j <= n;j++) {
        odp[i][j].clear();
      }
    }
    for(int i = 1;i < n;i++) {
      int aa, bb;
      cin>>aa>>bb;
      wek[aa].pb(bb);
      wek[bb].pb(aa);
    }
    dfs(1); // maybe change to random value
    for(int i = 0;i < n;i++) {
      LL wyn = LLinf;
      for(auto s : odp[1][i]) {
        wyn = min(wyn, s.fi + s.se * s.se);
      }
      cout<<wyn<<" ";
    }
    cout<<"\n";
    for(int i = 0;i <= n;i++) {
      wek[i].clear();
      for(int j = 0;j <= n;j++) {
        odp[i][j].clear();
      }
    }
  }
	return 0;
}