Distances

#include <bits/stdc++.h>
using namespace std;
#define cerr if(false) cerr
#define watch(x) cerr << (#x) << " is " << (x) << endl;
#define endl '\n'
#define ld long double
#define int long long
#define pii pair<int, int>
#define fi first
#define se second
#define sz(a) (int)(a).size()
#define y1 lsdjkfhshfdsighoihweogihewoghi
#define all(x) (x).begin(), (x).end()
 
const int maxn = 15;
 
int n;
int dis[maxn][maxn];
vector<int> G[maxn];
 
void bfs(int st) {
    queue<int> Q;
    Q.push(st);
    dis[st][st] = 0;
 
    while(!Q.empty()) {
        int S = Q.front(); Q.pop();
        for(int to: G[S]) {
            if(dis[st][to] > dis[st][S]+1) {
                Q.push(to);
                dis[st][to] = dis[st][S]+1;
            }
        }
    }
}
 
 
void solve() {
    for(int i = 0; i < maxn; i++) {
        for(int j = 0; j < maxn; j++) {
            dis[i][j] = 1e18;
        }
        G[i].clear();
    } 
 
    cin >> n;
 
    for(int i = 1; i <= n-1; i++) {
        int u, v;
        cin >> u >> v;
 
        G[u].emplace_back(v);
        G[v].emplace_back(u);
    }
 
    for(int i = 1; i <= n; i++) bfs(i);
 
    vector<int> v;
    for(int i = 1; i <= n; i++) v.push_back(i);
 
    do {
        bool f = false;
        for(int i = 1; i < sz(v); i++) {
            if(dis[v[i]][v[i-1]] > 3) f = true;
        }
 
        if(!f) {
            for(int x: v) {
                cout << x << " ";
            }
            cout << endl;
            return;
        }
    } while(next_permutation(all(v)));
}
 
signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
 
    int t;
    cin >> t;
 
    while(t--) solve();
}
 
/*
 
*/
 
// Did you read the bounds?
// Did you make typos?
// Are there edge cases (N=1?)
// Are array sizes proper?
// Integer overflow?
// DS reset properly between test cases?
// Is using long longs causing TLE?
// Are you using floating points?

Test 1

Group: 1, 2

Verdict: ACCEPTED

Test 2

Group: 2

Verdict: RUNTIME ERROR