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#include <bits/stdc++.h>
#define FOR(i,p,k) for(int i=(p);i<=(k);++i)
#define REP(i,n) FOR(i,0,(n)-1)
#define RFOR(i,p,n) for(int i=(p);i>=(n);--i)
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define ssize(x) int((x).size())
#define fi first
#define se second
#define V vector
#define pb push_back
#define eb emplace_back
#define C const
#define gc getchar_unlocked
#define pc putchar_unlocked
#define pn putchar_unlocked('\n')
using namespace std;
typedef long long ll;
typedef __int128_t lll;
typedef V<int> vi;
typedef V<ll> vll;
typedef const int ci;
typedef const ll cll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ll, int> pli;
typedef pair<int, ll> pil;
void chmin(auto &a, auto b){a=min(a,b);}
void chmax(auto &a, auto b){a=max(a,b);}
ci inf = 2.1e9;
cll infll = 4.5e18;
int I(){
    int z;
    int c = gc();
    while(c < '0' || c > '9') c = gc();
    for(z = 0; c >= '0' && c <= '9'; c = gc()) z = 10*z+c-'0';
    return z;
}
void O(int a){
    static int tab[20];
    int it = 0;
    do{
        tab[it++] = int('0'+a%10);
    } while(a /= 10);
    while(it) pc(tab[--it]);
}

mt19937 mt(21376969);
int los(ci a, ci b){
    uniform_int_distribution<int> dist(a, b);
    return dist(mt);
}

void answer(){
    ci n = I();
    V<vi> g(n+1);
    REP(i, n-1){
        ci a = I();
        ci b = I();
        g[a].eb(b);
        g[b].eb(a);
    }
    vi wyn = {n+1};

    struct stan{
        vi kod;
        vi nr;
        int iter;
        bool operator==(C stan&) const = default;
    };
    deque<stan> stany;
    auto wrzuc = [&](stan s){
        if(ssize(stany)) REP(i, min(ssize(s.kod), ssize(stany.back().kod))){
            if(s.kod[i] > stany.back().kod[i]) return;
            if(s.kod[i] < stany.back().kod[i]){
                while(ssize(stany) && i < ssize(stany.back().kod)) stany.pop_back();
                break;
            }
        }
        if(ssize(stany) && s == stany.back()) return;
        if(ssize(s.kod) == n-2) return chmin(wyn, s.kod);
        stany.eb(s);
        if(ssize(stany) > 100'000) erase_if(stany, [&](C stan&){return los(0, 1);});
    };
    auto przedluz = [&](stan s){
        vi st(n+1, 0);
        FOR(w, 1, n) if(s.nr[w]>=0) for(ci i : g[w]) st[w] += s.nr[i]>=0;
        FOR(ww, 1, n) if(int w = ww; s.nr[w]>=0){
            int liscie = 0;
            for(ci i : g[w]) if(st[i] == 1) ++liscie;
            if(!liscie) continue;
            stan nowy = s;
            vi nowy_st = st;
            while(true){
                if(!nowy.nr[w]) nowy.nr[w] = ++nowy.iter;
                for(ci i : g[w]) if(ssize(nowy.kod) < n-2 && nowy_st[i] == 1){
                    nowy.kod.eb(nowy.nr[w]);
                    nowy.nr[i] = -1;
                    nowy_st[i] = 0;
                    --nowy_st[w];
                }
                if(ssize(nowy.kod) < n-2 && nowy_st[w] == 1){
                    for(ci i : g[w]) if(nowy.nr[i]>=0){
                        w = i;
                        break;
                    }
                    continue;
                }
                break;
            }
            wrzuc(nowy);
        }
    };

    wrzuc(stan{vi{}, vi(n+1, 0), 0});

    while(ssize(stany)){
        stan s = stany.front();
        stany.pop_front();
        przedluz(s);
    }

    for(ci x : wyn) O(x), pc(' ');
    pn;
}

int main(){
    int tt = I();
    while(tt--) answer();
}