#[allow(dead_code)]
fn getline() -> String {
    let mut res = String::new();
    std::io::stdin().read_line(&mut res).ok();
    res
}

#[allow(unused_macros)]
macro_rules! readl {
    ($t: ty) => {
        {
            let s = getline();
            s.trim().parse::<$t>().unwrap()
        }
    };
    ($( $t: ty),+ ) => {
        {
            let s = getline();
            let mut iter = s.trim().split(' ');
            ($(iter.next().unwrap().parse::<$t>().unwrap(),)*)
        }
    };
}

#[allow(unused_macros)]
macro_rules! readlvec {
    ($t: ty) => {
        {
            let s = getline();
            let iter = s.trim().split(' ');
            iter.map(|x| x.parse().unwrap()).collect::<Vec<$t>>()
        }
    }
}

#[allow(unused_macros)]
// macro_rules! debug { ($x: expr) => { println!("{}: {:?}", stringify!($x), $x) } }
macro_rules! debug { ($x: expr) => () }

#[allow(dead_code)]
fn show<T>(iter: T) -> String
where
    T: Iterator,
    T::Item: std::fmt::Display
{
    let mut res = iter.fold(String::new(), |sum, e| sum + &format!("{} ", e));
    res.pop();
    res
}

use std::cmp::Ordering;
use std::clone::Clone;
#[derive(Clone, Debug, Hash, Eq, PartialEq)]
struct Edge<Cost>
where
    Cost: std::clone::Clone,
{
    to: usize,
    cost: Cost,
}

impl<Cost> Ord for Edge<Cost>
where
    Cost: Ord + std::clone::Clone,
{
    fn cmp(&self, other: &Edge<Cost>) -> Ordering {
        (self.cost).cmp(&(other.cost)).reverse()
    }
}

impl<Cost> PartialOrd for Edge<Cost>
where
    Cost: std::clone::Clone,
    Edge<Cost>: Ord,
{
    fn partial_cmp(&self, other: &Edge<Cost>) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

trait Graph
where
    Self::Cost: Clone
{
    type Cost;
    fn len(&self) -> usize;
    fn get<'a>(&'a self, p: usize) -> std::slice::Iter<'a, Edge<Self::Cost>>;
    fn get_order(&self) -> Vec<usize>;
}

#[derive(Clone, Debug, Hash)]
struct AdjList<Cost: Clone> {
    adj: Vec<Vec<Edge<Cost>>>,
}

impl<Cost: Clone> std::ops::Index<usize> for AdjList<Cost> {
    type Output = Vec<Edge<Cost>>;

    fn index(&self, i: usize) -> &Vec<Edge<Cost>> {
        &self.adj[i]
    }
}

impl<Cost: Clone> std::ops::IndexMut<usize> for AdjList<Cost> {
    fn index_mut<'a>(&'a mut self, i: usize) -> &'a mut Vec<Edge<Cost>> {
        &mut self.adj[i]
    }
}

impl<Cost: Clone> AdjList<Cost> {
    fn new(n: usize) -> AdjList<Cost> {
        AdjList {
            adj: vec![vec![]; n],
        }
    }

    fn add_edge(&mut self, from: usize, to_: usize, cost_: Cost) {
        self.adj[from].push(Edge {
            to: to_,
            cost: cost_,
        });
    }

    fn add_uedge(&mut self, from: usize, to_: usize, cost_: Cost) {
        self.add_edge(from, to_, cost_.clone());
        self.add_edge(to_, from, cost_);
    }
}

impl<Cost> Graph for AdjList<Cost>
where
    Cost: Clone
{
    type Cost = Cost;

    fn len(&self) -> usize {
        self.adj.len()
    }

    fn get<'a>(&'a self, p: usize) -> std::slice::Iter<'a, Edge<Cost>> {
        self.adj[p].iter()
    }

    fn get_order(&self) -> Vec<usize> {
        let mut res = Vec::with_capacity(self.len());
        let mut deg = vec![0; self.len()];
        let mut used = vec![false; self.len()];
        for from in 0..self.len() {
            for e in self.get(from) {
                deg[e.to] += 1;
            }
        }
        for s in 0..self.len() {
            if deg[s] != 0 || used[s] {
                continue;
            }
            let mut stack = Vec::new();
            used[s] = true;
            stack.push(s);
            while let Some(p) = stack.pop() {
                used[p] = true;
                res.push(p);
                for e in self.get(p) {
                    deg[e.to] -= 1;
                    if deg[e.to] == 0 {
                        stack.push(e.to);
                    }
                }
            }

        }
        // debug!(deg);
        res
    }
}


#[allow(unused_imports)]
use std::cmp::{max, min};
#[allow(unused_imports)]
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
#[allow(unused_imports)]
use std::collections::btree_map::Entry::{Occupied, Vacant};

fn main() {
    use std::io::Write;
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    macro_rules! printf { ($($arg:tt)*) => (write!(out, $($arg)*).unwrap()); }
    macro_rules! printfln { () => (writeln!(out).unwrap()); ($($arg:tt)*) => (writeln!(out, $($arg)*).unwrap()); }
    
    let n = readl!(usize);
    let mut g = AdjList::new(n);
    for _ in 0..n-1 {
        let (a, b) = readl!(usize, usize);
        g.add_uedge(a-1, b-1, ());
    }

    // let mut cc = vec![1; n];

    fn rdfs(g: &AdjList<()>, p: usize, par: usize) -> i32 {
        let mut res = 0;
        for e in g.get(p) {
            if e.to == par {
                continue;
            }
            res = max(res, rdfs(g, e.to, p));
        }
        res+1
    }

    fn dfs(cc: &mut Vec<i64>, g: &AdjList<()>, p: usize, par: usize, l: usize) {
        let mut cnt = 0;
        for e in g.get(p) {
            if e.to != par {
                cnt += 1;
                dfs(cc, g, e.to, p, l+1);
            }
        }
        cc[l] = max(cc[l], cnt);
    }

    let mut cans = 1_000_000_000;
    let mut lans = 0;
    for i in 0..n {
        let mut cc = vec![1; n];
        dfs(&mut cc, &g, i, n+1, 0);
        let lc = cc.into_iter().fold(1, |x, y| x*y);
        let rd = rdfs(&g, i, n+1);
        if rd < cans {
            cans = rd;
            lans = lc;
        } else if cans == rd {
            lans = min(lans, lc);
        }
    }

    for s in 0..n {
        for e in g.get(s) {
            let rd = max(rdfs(&g, s, e.to), rdfs(&g, e.to, s));
            let mut cc = vec![1; n];
            dfs(&mut cc, &g, s, e.to, 0);
            dfs(&mut cc, &g, e.to, s, 0);
            let lc = cc.into_iter().fold(1, |x, y| x*y) * 2;
            if rd < cans {
                cans = rd;
                lans = lc;
            } else if cans == rd {
                lans = min(lans, lc);
            }
        }
    }
    printfln!("{} {}", cans, lans);
}


Measured memory_bytes: 4352