//start of jonathanirvings' template v3.0.3 (BETA)

#include <bits/stdc++.h>
using namespace std;

typedef long long LL;
typedef pair<int,int> pii;
typedef pair<LL,LL> pll;
typedef pair<string,string> pss;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vii;
typedef vector<LL> vl;
typedef vector<vl> vvl;

double EPS = 1e-9;
int INF = 1000000005;
long long INFF = 1000000000000000005LL;
double PI = acos(-1);
int dirx[8] = {-1,0,0,1,-1,-1,1,1};
int diry[8] = {0,1,-1,0,-1,1,-1,1};

#ifdef TESTING
  #define DEBUG fprintf(stderr,"====TESTING====\n")
  #define VALUE(x) cerr << "The value of " << #x << " is " << x << endl
  #define debug(...) fprintf(stderr, __VA_ARGS__)
#else
  #define DEBUG 
  #define VALUE(x)
  #define debug(...)
#endif

#define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
#define FORN(a,b,c) for (int (a)=(b);(a)<=(c);++(a))
#define FORD(a,b,c) for (int (a)=(b);(a)>=(c);--(a))
#define FORSQ(a,b,c) for (int (a)=(b);(a)*(a)<=(c);++(a))
#define FORC(a,b,c) for (char (a)=(b);(a)<=(c);++(a))
#define FOREACH(a,b) for (auto &(a) : (b))
#define REP(i,n) FOR(i,0,n)
#define REPN(i,n) FORN(i,1,n)
#define MAX(a,b) a = max(a,b)
#define MIN(a,b) a = min(a,b)
#define SQR(x) ((LL)(x) * (x))
#define RESET(a,b) memset(a,b,sizeof(a))
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define ALL(v) v.begin(),v.end()
#define ALLA(arr,sz) arr,arr+sz
#define SIZE(v) (int)v.size()
#define SORT(v) sort(ALL(v))
#define REVERSE(v) reverse(ALL(v))
#define SORTA(arr,sz) sort(ALLA(arr,sz))
#define REVERSEA(arr,sz) reverse(ALLA(arr,sz))
#define PERMUTE next_permutation
#define TC(t) while(t--)

inline string IntToString(LL a){
  char x[100];
  sprintf(x,"%lld",a); string s = x;
  return s;
}

inline LL StringToInt(string a){
  char x[100]; LL res;
  strcpy(x,a.c_str()); sscanf(x,"%lld",&res);
  return res;
}

inline string GetString(void){
  char x[1000005];
  scanf("%s",x); string s = x;
  return s;
}

inline string uppercase(string s){
  int n = SIZE(s); 
  REP(i,n) if (s[i] >= 'a' && s[i] <= 'z') s[i] = s[i] - 'a' + 'A';
  return s;
}

inline string lowercase(string s){
  int n = SIZE(s); 
  REP(i,n) if (s[i] >= 'A' && s[i] <= 'Z') s[i] = s[i] - 'A' + 'a';
  return s;
}

inline void OPEN (string s) {
  #ifndef TESTING
  freopen ((s + ".in").c_str (), "r", stdin);
  freopen ((s + ".out").c_str (), "w", stdout);
  #endif
}

//end of jonathanirvings' template v3.0.3 (BETA)

int n,a,b;
vi adj[105];
pii risan;
int depth[105];
bool forb[105];

void dfs(int now,int dist,int pre)
{
  int ada = 0;
  for (int j : adj[now])
  {
    if (forb[j] || j == pre) continue;
    ++ada;
    dfs(j, dist + 1, now);
  }
  // debug("%d %d %d %d\n",now,dist,pre,ada);
  MAX(depth[dist + 1], ada);
}

pair<int,LL> count(int x, int y)
{
  RESET(depth,0);
  RESET(forb,0);
  forb[x] = forb[y] = 1;
  dfs(x,0,-1);
  if (x != y) dfs(y,0,-1);
  pair<int,LL> res; res.se = (x != y ? 2 : 1);
  FORN(i,1,n)
  {
    if (depth[i] == 0) break;
    res.fi = i + 1;
    res.se *= depth[i];
  }
  return res;
}

int main()
{
  scanf("%d",&n);
  if (n == 2)
  {
    puts("1 2");
    exit(0);
  }
  REP(i,n-1)
  {
    scanf("%d %d",&a,&b);
    --a; --b;
    adj[a].pb(b);
    adj[b].pb(a);
  }
  pair<int,LL> risan = mp(INF,0);
  REP(i,n)
  {
    // debug(">>>>%d %d %lld\n",i,count(i,i).fi,count(i,i).se);
    MIN(risan,count(i, i));
  }
  REP(i,n) for (int j : adj[i])
  {
    // debug(">>>>%d %d %d %lld\n",i,j,count(i,j).fi,count(i,j).se);
    MIN(risan,count(i,j));
  }
  printf("%d %lld\n",risan.fi,risan.se);
  return 0;
}











Measured memory_bytes: 256