#include <bits/stdc++.h>
//qwerty47924692
using namespace std;
using ll = long long;
const ll N=2e5+29;
const string br="617283";
#define sz(a)(ll)a.size()
#define f first
#define s second
ll n,x,y,ans,cnt=1,d[N],c[N];
vector<ll>v[N];
bool cmp(pair<ll,ll> a, pair<ll,ll> b){
return a.f>b.f;
}
void calc(vector<pair<ll,ll>> &v){
if(v.size()<3)return;
sort(v.begin(),v.end(),&cmp);
ll a=v[0].f,b=v[1].f,cc=v[2].f;
if(a==cc){
ll sum=0;
for(ll i=0;i<v.size();i++){
if(v[i].f!=a)break;
if(ans==a*(b+cc))cnt+=v[i].s*sum;
else if(ans<a*(b+cc))
{
ans=a*(b+cc);
cnt=v[i].s*sum;
}
sum+=v[i].s;
}
return;
}
if(a>b&&b==cc)
{
ll sum=0;
for(ll i=1;i<v.size();i++)
{
if(v[i].f!=b)
break;
if(ans==a*(b+cc))
{
cnt+=v[i].s*sum;
}
else if(ans<a*(b+cc))
{
ans=a*(b+cc);
cnt=v[i].s*sum;
}
sum+=v[i].s;
}
return;
}
if(a>b&&b>cc)
{
ll sum=v[1].s;
for(ll i=2;i<v.size();i++)
{
if(v[i].f!=cc)
break;
if(ans==a*(b+cc))
{
cnt+=v[i].s*sum;
}
else if(ans<a*(b+cc))
{
ans=a*(b+cc);
cnt=v[i].s*sum;
}
}
return;
}
ll sum=v[0].s+v[1].s;
for(ll i=2;i<v.size();i++)
{
if(v[i].f!=cc)
break;
if(ans==a*(b+cc))
{
cnt+=v[i].s*sum;
}
else if(ans<a*(b+cc))
{
ans=a*(b+cc);
cnt=v[i].s*sum;
}
}
}
void dfs(ll x, ll pr=0){
d[x]=1;
c[x]=1;
for(ll to:v[x]){
if(to==pr)continue;
dfs(to,x);
if(d[to]+1>d[x]){
d[x]=d[to]+1;
c[x]=c[to];
}
else if(d[to]+1==d[x])c[x]+=c[to];
}
}
void dfs2(ll x, ll pr=0, ll du=0, ll dc=0)
{
vector<pair<ll,ll>>cur;
if(pr)cur.push_back({du,dc});
for(ll to:v[x]){
if(to!=pr)cur.push_back({d[to],c[to]});
}
calc(cur);
if(!pr&&v[x].size()==1)dc=1;
ll mx1=du,mx2=0,cnt1=dc,cnt2=0;
for(ll to:v[x]){
if(to==pr)continue;
if(d[to]>mx1){
mx2=mx1;
cnt2=cnt1;
mx1=d[to];
cnt1=c[to];
}
else if(d[to]==mx1){
cnt1+=c[to];
}
else if(d[to]>mx2){
mx2=d[to];
cnt2=c[to];
}
}
for(ll to:v[x]){
if(to==pr)continue;
if(d[to]<mx1)dfs2(to,x,mx1+1,cnt1);
else if(cnt1==c[to])dfs2(to,x,mx2+1,cnt2);
else dfs2(to,x,mx1+1,cnt1-c[to]);
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n;
for(ll i=1;i<n;i++){
ll vv,u;
cin>>vv>>u;
v[vv].push_back(u);
v[u].push_back(vv);
}
dfs(1);
dfs2(1);
cout<<ans<<" "<<cnt;
}
