#include <map>
#include <set>
#include <stack>
#include <queue>
#include <cmath>
#include <ctime>
#include <vector>
#include <cstdio>
#include <cctype>
#include <cstring>
#include <cstdlib>
#include <iostream>
#include <algorithm>
using namespace std;
#define INF 0x3f3f3f3f
#define inf -0x3f3f3f3f
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define mem0(a) memset(a,0,sizeof(a))
#define mem1(a) memset(a,-1,sizeof(a))
#define mem(a, b) memset(a, b, sizeof(a))
typedef long long ll;
const int maxn=21000;
vector<int>G[maxn];
int vis[maxn];
int son[maxn];
int ans,arise;;
int n;
void init(int n){
for(int i=1;i<=n;i++)
G[i].clear();
mem0(vis);
}
void dfs(int s){
vis[s]=1;
son[s]=0;
int balance=0;
for(int i=0;i<G[s].size();i++){
int x=G[s][i];
if(vis[x])
continue;
dfs(x);
son[s]+=son[x]+1;
balance=max(balance,son[x]+1);
}
balance=max(balance,n-son[s]-1);
if(balance<arise||(balance==arise&&s<ans)){
arise=balance;
ans=s;
}
}
int main(){
int t;
scanf("%d",&t);
while(t--){
int x,y;
scanf("%d",&n);
init(n);
for(int i=0;i<n-1;i++){
scanf("%d%d",&x,&y);
G[x].push_back(y);
G[y].push_back(x);
}
ans=1,arise=INF;
dfs(1);
printf("%d %d\n",ans,arise);
}
return 0;
}