//header
#ifdef LOCAL
    #include "cxx-prettyprint-master/prettyprint.hpp"
    #define debug(x) cout << x << endl
#else
    #define debug(...) 42
#endif
    #pragma GCC optimize("Ofast")
    #include <bits/stdc++.h>
    //types
    using namespace std;
    using ll = long long;
    using ld = long double;
    typedef pair < ll , ll > Pl;        
    typedef pair < int, int > Pi;
    typedef vector<ll> vl;
    typedef vector<int> vi;
    template< typename T >
    using mat = vector< vector< T > >;
    template< int mod >
    struct modint {
        int x;

        modint() : x(0) {}

        modint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

        modint &operator+=(const modint &p) {
            if((x += p.x) >= mod) x -= mod;
            return *this;
        }

        modint &operator-=(const modint &p) {
            if((x += mod - p.x) >= mod) x -= mod;
            return *this;
        }

        modint &operator*=(const modint &p) {
            x = (int) (1LL * x * p.x % mod);
            return *this;
        }

        modint &operator/=(const modint &p) {
            *this *= p.inverse();
            return *this;
        }

        modint operator-() const { return modint(-x); }

        modint operator+(const modint &p) const { return modint(*this) += p; }

        modint operator-(const modint &p) const { return modint(*this) -= p; }

        modint operator*(const modint &p) const { return modint(*this) *= p; }

        modint operator/(const modint &p) const { return modint(*this) /= p; }

        bool operator==(const modint &p) const { return x == p.x; }

        bool operator!=(const modint &p) const { return x != p.x; }

        modint inverse() const {
            int a = x, b = mod, u = 1, v = 0, t;
            while(b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
            }
            return modint(u);
        }

        modint pow(int64_t n) const {
            modint ret(1), mul(x);
            while(n > 0) {
            if(n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
            }
            return ret;
        }

        friend ostream &operator<<(ostream &os, const modint &p) {
            return os << p.x;
        }

        friend istream &operator>>(istream &is, modint &a) {
            int64_t t;
            is >> t;
            a = modint< mod >(t);
            return (is);
        }

        static int get_mod() { return mod; }
    };
    //abreviations
    #define all(x) (x).begin(), (x).end()
    #define rall(x) (x).rbegin(), (x).rend()
    #define rep_(i, a_, b_, a, b, ...) for (int i = (a), max_i = (b); i < max_i; i++)
    #define rep(i, ...) rep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
    #define rev(i,n) for(int i=n-1;i>=0;i--)
    #define SZ(x) ((int)(x).size())
    #define pb(x) push_back(x)
    #define eb(x) emplace_back(x)
    #define ff first
    #define ss second
    #define mp make_pair
    #define print(x) cout << x << endl
    #define lsum(x) accumulate(x, 0LL)
    //functions
    ll gcd(ll a, ll b) { return b ? gcd(b, a%b) : a; }
    ll lcm(ll a, ll b) { return a/gcd(a, b)*b;}
    template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
    template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
    template< typename T >
    T mypow(T x, ll n) {
        T ret = 1;
        while(n > 0) {
            if(n & 1) (ret *= x);
            (x *= x);
            n >>= 1;
        }
        return ret;
    }
    ll modpow(ll x, ll n, const ll mod) {
        ll ret = 1;
        while(n > 0) {
            if(n & 1) (ret *= x);
            (x *= x);
            n >>= 1;
            x%=mod;
            ret%=mod;
        }
        return ret;
    }
    uint64_t my_rand(void) {
        static uint64_t x = 88172645463325252ULL;
        x = x ^ (x << 13); x = x ^ (x >> 7);
        return x = x ^ (x << 17);
    }
    //graph template
    template< typename T >
    struct edge {
        int src, to;
        T cost;

        edge(int to, T cost) : src(-1), to(to), cost(cost) {}

        edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

        edge &operator=(const int &x) {
            to = x;
            return *this;
        }
        operator int() const { return to; }
    };

    template< typename T >
    using Edges = vector< edge< T > >;
    template< typename T >
    using WeightedGraph = vector< Edges< T > >;
    using UnWeightedGraph = vector< vector< int > >;

//constant
#define INF 1000000000000000005LL
#define inf 1000000005
#define mod 1000000007LL
#define endl '\n'
typedef modint<mod> mint;
const long double eps = 0.001;
const long double PI  = 3.141592653589793;
//library
vi dist, par;
void dfs(int v, int p, mat<int>& g){
    for(int &nv:g[v]){
        if(nv == p)continue;
        dist[nv] = dist[v]+1;
        par[nv] = v;
        dfs(nv, v, g);
    }
}
vl res;
void count(int v, int p, int d, mat<int>& g){
    chmax(res[d], (ll)SZ(g[v])-(p == -1?0:1));
    for(int &nv:g[v]){
        if(nv == p)continue;
        dist[nv] = dist[v]+1;
        par[nv] = v;
        count(nv, v, d+1, g);
    }
}
//main
int main(){
    cin.tie(0);
    ios::sync_with_stdio(0);
    cout << setprecision(20);
    int n; cin>>n;
    if(n == 2){
        cout << 1 <<' ' << 2;
        return 0;
    }
    mat<int> g(n);
    rep(i, n-1){
        int a, b;
        cin>>a>>b;
        a--;b--;
        g[a].pb(b);
        g[b].pb(a);
    }
    dist.resize(n);
    par.resize(n);
    dfs(0, -1, g);
    int v0 = max_element(all(dist))-dist.begin();
    rep(i, n)dist[i] = 0;
    dfs(v0, -1, g);
    int v1 = max_element(all(dist))-dist.begin();
    int d = dist[v1];
    int v = v1;
    if(d%2 == 0){
        rep(i, d/2){
            v = par[v];
        }
        res.resize(d/2);
        count(v, -1, 0, g);
        ll ans = 1;
        rep(i, d/2)ans*=res[i];
        d++;
        for(int nv:g[v]){
            res.resize(d/2);
            rep(i, d/2)res[i] = 0;
            count(v, nv, 0, g);
            count(nv, v, 0, g);
            ll tmp = 2;
            rep(i, d/2)tmp*=res[i];
            chmin(ans, tmp);
        }
        cout << d/2+1 << ' ' << ans << endl;
    }else{
        rep(i, d/2){
            v = par[v];
        }
        res.resize(d/2);
        count(v, par[v], 0, g);
        ll ans = 1;
        count(par[v], v, 0, g);
        rep(i, d/2)ans*=res[i];
        cout << d/2+1 << ' ' << ans*2<< endl;
    }

}   


Measured memory_bytes: 256