📦 ved015 / Codeforces-solution

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69// #include<bits/stdc++.h>
#include<iostream>
#include<vector>
#include<algorithm>
#include<map>
#include<set>
#include<string>
using namespace std;

typedef long long ll;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<long long> vll;
typedef vector<vector<ll> > vvll;

#define fastio() ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define pb push_back
#define mp make_pair
#define sz(x) ((int)(x).size())

ll max(ll a, ll b, ll c){ return max(a, max(b, c));}
ll min(ll a, ll b, ll c){ return min(a, min(b, c));}
ll gcd(ll a, ll b) {if (b > a) {return gcd(b, a);} if (b == 0) {return a;} return gcd(b, a % b);}
ll fact(ll a) { return (a <= 1) ? 1 : a * fact(a - 1); }

vll factors(int n) { vll ans; int l = sqrt(n); for (int i = 1; i <= l; i++) { if (n % i == 0){ if (n/i == i) ans.pb(i); else {ans.pb(i); ans.pb(n/i);}}} return ans;}
string DecimalToBinary(ll num){string str; while(num){if(num & 1) str.pb('1');else str.pb('0');num>>=1;}return str;}
ll BinaryToDecimal(string num){ll ans = 0; ll base = 1; for (int i = sz(num) - 1; i >= 0; i--) {if (num[i] == '1') ans += base; base<<=1;}return ans;}

void Vedant(){
    ll n;
    cin >> n;
    vll a(n);
    for(ll i = 0; i < n; i++) cin >> a[i];
    vll indegree(n);
    for(ll i = 0; i < n - 1; i++){
        ll u,v;
        cin >> u >> v;
        indegree[u - 1]++;
        indegree[v - 1]++;
    }
   vll temp;
    for(ll i = 0; i < n; i++){
        for(ll j = 0; j < indegree[i] - 1; j++){
            temp.pb(a[i]);
        }
    }
    ll sum = 0;;
    for(auto it : a) sum += it;
    sort(temp.rbegin(),temp.rend());
    cout << sum << " ";
    for(ll i = 0; i < temp.size(); i++){
        cout << sum + temp[i]<< " ";
        sum += temp[i];
    }
    cout << endl;
}


int main(){
    fastio();
    int t;
    cin >> t;
    while(t--){
       Vedant();
    }
    return 0;
}