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#pragma GCC optimize("Ofast")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
#define mp make_pair
#define eb emplace_back
#define pb push_back
#define e1 first
#define e2 second
#define uint unsigned int
#define ll long long
#define ull unsigned long long
#define ld long double
#define float long double
#define size(x) (int)x.size()
#define satori int testCases; cin>>testCases; while(testCases--)
#define fastio ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0)
#define all(r) begin(r),end(r)
#define time chrono::high_resolution_clock().now().time_since_epoch().count()
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
mt19937 rng(chrono::high_resolution_clock().now().time_since_epoch().count());
///////////////////
#define debug if(1)
///////////////////

const int MAXN=3e2+10;
const ll inf=1e18+2137;

int a[MAXN],aa[MAXN],id[MAXN],par[MAXN],sz[MAXN],cnt;
ll b[MAXN],res[MAXN],exk[MAXN];
vector<pair<ll,ll>> hull[MAXN];
vector<ll> hullpos[MAXN];
vector<pair<ll,ll>> temp;
vector<int> g[MAXN];
int r1,r2,n;

void dfs(int u,int p){
	sz[u]=1;
	for(auto v:g[u])
		if(v!=p)
			dfs(v,u),sz[u]+=sz[v];
	if(r1==-1)
		r1=p,r2=u;
	else{
		if(abs(sz[r2]-(n-sz[r2]))>abs(sz[u]-(n-sz[u])))
			r1=p,r2=u;
	}
}

void dfs_set(int u,int p){
	id[u]=--cnt;
	a[id[u]]=aa[u];
	for(auto v:g[u])
		if(v!=p)
			dfs_set(v,u),par[id[v]]=id[u];
}

ll get_best(ll slope,int id){
	int pos=upper_bound(all(hullpos[id]),slope)-begin(hullpos[id])-1;
	return hull[id][pos].e1+hull[id][pos].e2*slope;
}

int32_t main()
{
	fastio;
	satori{
		int u,v;
		ll cres;
		cin>>n;
		for(int i=0;i<n;i++)
			cin>>aa[i],g[i].clear(),res[i]=inf,exk[i]=inf,hull[i].clear(),hullpos[i].clear();
		for(int i=0;i<n-1;i++)
			cin>>u>>v,g[u-1].eb(v-1),g[v-1].eb(u-1);
		r1=r2=-1;
		dfs(0,-1);
		int sn=sz[r2],bits;
		cnt=sn;
		dfs_set(r2,r1);
		for(int m=0;m<(1<<(sn-1));m++){
			cres=0;
			fill(b,b+sn,0ll);
			for(int i=0;i<sn;i++){
				b[i]+=a[i];
				if(m&(1<<i))
					b[par[i]]+=b[i];
				else
					cres+=b[i]*b[i];
			}
			bits=__builtin_popcount(m);
			exk[bits]=min(exk[bits],cres);
			hull[bits].eb(mp(cres,b[sn-1]));
		}
		ll min_slope;
		for(int i=0;i<sn;i++){
			temp.clear();
			swap(temp,hull[i]);
			sort(all(temp));
			min_slope=inf;
			for(auto x:temp){
				if(x.e2>=min_slope)
					continue;
				else
					min_slope=x.e2;
				while(size(hull[i])&&hullpos[i].back()>=(x.e1-hull[i].back().e1+hull[i].back().e2-x.e2-1ll)/(hull[i].back().e2-x.e2))
					hull[i].pop_back(),hullpos[i].pop_back();
				if(size(hull[i])==0)
					hullpos[i].eb(0ll);
				else
					hullpos[i].eb((x.e1-hull[i].back().e1+hull[i].back().e2-x.e2-1ll)/(hull[i].back().e2-x.e2));
				hull[i].eb(x);
			}
		}
		sn=n-sz[r2];
		cnt=sn;
		dfs_set(r1,r2);
		int otsz=sz[r2];
		for(int m=0;m<(1<<(sn-1));m++){
			cres=0;
			fill(b,b+sn,0ll);
			for(int i=0;i<sn;i++){
				b[i]+=a[i];
				if(m&(1<<i))
					b[par[i]]+=b[i];
				else
					cres+=b[i]*b[i];
			}
			bits=__builtin_popcount(m);
			for(int i=0;i<otsz;i++){
				res[i+bits]=min(res[i+bits],cres+exk[i]);
				res[i+bits+1]=min(res[i+bits+1],cres+get_best(b[sn-1]*2ll,i));
			}
		}
		for(int i=n-1;i>=0;i--)
			cout<<res[i]<<' ';
		cout<<'\n';
	}
}