#include<bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
#define mp make_pair
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef long double ld;
template <typename T> bool chkmin(T &x,T y){return x>y?x=y,1:0;}
template <typename T> bool chkmax(T &x,T y){return x<y?x=y,1:0;}
ll readint(){
ll x=0,f=1; char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
return x*f;
}
int n,tot;
int mx[500005],cnt[500005];
vector<int> g[500005];
ll res=0,c=1;
void addedge(int x,int y){ g[x].pb(y); g[y].pb(x); }
void dfs(int x,int px,int d){
mx[x]=d;
cnt[x]=1;
for(auto&v:g[x]){
if(v==px) continue;
dfs(v,x,d+1);
if(mx[v]==mx[x]) cnt[x]+=cnt[v];
else if(mx[x]<mx[v]) cnt[x]=cnt[v];
mx[x]=max(mx[x],mx[v]);
}
}
void reroot(int x,int px,int dep){
for(auto&v:g[x]){
if(v!=px) mx[v]-=dep;
}
sort(g[x].begin(),g[x].end(),[&](int i,int j){return mx[i]>mx[j];});
if((int)g[x].size()>=3){
ll cur=0,cc=0;
cur=mx[g[x][0]]*1ll*(mx[g[x][1]]+mx[g[x][2]]);
ll s=0;
for(int j=0;j<(int)g[x].size();j++){
if(mx[g[x][j]]==mx[g[x][2]]) cc+=s*cnt[g[x][j]];
if(mx[g[x][j]]==mx[g[x][1]]) s+=cnt[g[x][j]];
}
if(res<cur) res=cur,c=cc;
else if(res==cur) c+=cc;
}
int mx_bef=mx[x],cnt_bef=cnt[x];
int a=0,b=1,c=-1,d=0;
for(auto&v:g[x]){
if(mx[v]>a) c=a,d=b,a=mx[v],b=cnt[v];
else if(mx[v]==a) b+=cnt[v];
else if(mx[v]>c) c=mx[v],d=cnt[v];
else if(mx[v]==c) d+=cnt[v];
}
for(auto&v:g[x]){
if(v==px) continue;
mx[x]=(mx[v]==a&&cnt[v]==b?c:a)+1;
cnt[x]=(mx[v]==a&&cnt[v]==b?d:b-(mx[v]==a?cnt[v]:0));
reroot(v,x,dep+1);
}
mx[x]=mx_bef;
cnt[x]=cnt_bef;
}
int main(){
n=readint();
for(int i=1;i<n;i++) addedge(readint(),readint());
dfs(1,1,0);
reroot(1,1,0);
printf("%lld %lld\n",res,c);
return 0;
}
