#include<bits/stdc++.h>
using namespace std;
const int N = 20005;
const int INF = 1<<30;
int head[N],son[N],cnt,n,ans,size;
bool vis[N];
struct Edge {
int to,next;
} edge[2*N];
void Init() {
cnt = 0;
size = INF;
memset(vis,0,sizeof(vis));
memset(head,-1,sizeof(head));
}
void add(int u,int v) {
edge[cnt].to = v;
edge[cnt].next = head[u];
head[u] = cnt++;
}
void dfs(int cur) {
vis[cur] = 1;
son[cur] = 0;
int tmp = 0;
for(int i=head[cur]; i>=0; i=edge[i].next) {
int u = edge[i].to;
if(!vis[u]) {
dfs(u);
son[cur] += son[u] + 1;
tmp = max(tmp,son[u] + 1);
}
}
tmp = max(tmp,n-son[cur]-1);
if(tmp < size || (tmp == size && cur < ans)) {
ans = cur;
size = tmp;
}
}
int main() {
int T;
scanf("%d",&T);
while(T--) {
Init();
scanf("%d",&n);
for(int i=1; i<=n-1; i++) {
int u,v;
scanf("%d%d",&u,&v);
add(u,v);
add(v,u);
}
dfs(1);
printf("%d %d\n",ans,size);
}
return 0;
}