/+ dub.sdl:
    name "D"
    dependency "dunkelheit" version=">=0.9.0"
+/

import std.stdio, std.algorithm, std.range, std.conv;
// import dkh.foundation, dkh.scanner;

int n;
int[][] g;

long[] mp = new long[110];
void dfs(int p, int b, int ndps) {
    int ch = 0;
    foreach (d; g[p]) {
        if (d == b) continue;
        ch++;
        dfs(d, p, ndps+1);
    }
    mp[ndps] = max(mp[ndps], ch);
}

long calc(int r) {
    mp[] = 1;
    dfs(r, -1, 1);
//    writeln("ONE : ", mp);
    return mp.reduce!"a*b";
}

long calc2(int r1, int r2) {
    mp[] = 1;
    mp[0] = 2;
    dfs(r1, r2, 1);
    dfs(r2, r1, 1);
//    writeln("MID : ", mp);
    return mp.reduce!"a*b";
}

int main() {
    Scanner sc = new Scanner(stdin);
    sc.read(n);
    g = new int[][](n);
    foreach (i; 0..n-1) {
        int a, b;
        sc.read(a, b); a--; b--;
        g[a] ~= b; g[b] ~= a;        
    }
    int dfs(int p, int b, int ndps) {
        int ans = ndps;
        foreach (d; g[p]) {
            if (d == b) continue;
            ans = max(ans, dfs(d, p, ndps+1));
        }
        return ans;
    }

    int deg = 0;
    foreach (i; 0..n) {
        deg = max(deg, dfs(i, -1, 1));
    }

//    writeln(deg);

    int col = (deg+1)/2;

    long ans = 1L << 62;
    foreach (i; 0..n) {
        if (dfs(i, -1, 1) > col) continue;
// /        writeln("CENT ", i);
        ans = min(ans, calc(i));
    }
    foreach (i; 0..n) {
        foreach (j; g[i]) {
            if (dfs(i, j, 1) > col || dfs(j, i, 1) > col) continue;
//            writeln("CENT ", i, " ", j);
            ans = min(ans, calc2(i, j));
        }
    }

    writeln(col, " ", ans);
    return 0;
}
/* IMPORT /home/yosupo/Programs/dunkelheit/source/dkh/scanner.d */
// module dkh.scanner;

// import dkh.container.stackpayload;

 
class Scanner {
    import std.stdio : File;
    import std.conv : to;
    import std.range : front, popFront, array, ElementType;
    import std.array : split;
    import std.traits : isSomeChar, isStaticArray, isArray; 
    import std.algorithm : map;
    File f;
    this(File f) {
        this.f = f;
    }
    char[512] lineBuf;
    char[] line;
    private bool succW() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (!line.empty && line.front.isWhite) {
            line.popFront;
        }
        return !line.empty;
    }
    private bool succ() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (true) {
            while (!line.empty && line.front.isWhite) {
                line.popFront;
            }
            if (!line.empty) break;
            line = lineBuf[];
            f.readln(line);
            if (!line.length) return false;
        }
        return true;
    }

    private bool readSingle(T)(ref T x) {
        import std.algorithm : findSplitBefore;
        import std.string : strip;
        import std.conv : parse;
        if (!succ()) return false;
        static if (isArray!T) {
            alias E = ElementType!T;
            static if (isSomeChar!E) {
                 
                 
                auto r = line.findSplitBefore(" ");
                x = r[0].strip.dup;
                line = r[1];
            } else static if (isStaticArray!T) {
                foreach (i; 0..T.length) {
                    bool f = succW();
                    assert(f);
                    x[i] = line.parse!E;
                }
            } else {
                StackPayload!E buf;
                while (succW()) {
                    buf ~= line.parse!E;
                }
                x = buf.data;
            }
        } else {
            x = line.parse!T;
        }
        return true;
    }

    int unsafeRead(T, Args...)(ref T x, auto ref Args args) {
        if (!readSingle(x)) return 0;
        static if (args.length == 0) {
            return 1;
        } else {
            return 1 + read(args);
        }
    }
    void read(bool enforceEOF = false, T, Args...)(ref T x, auto ref Args args) {
        import std.exception;
        enforce(readSingle(x));
        static if (args.length == 0) {
            enforce(enforceEOF == false || !succ());
        } else {
            read!enforceEOF(args);
        }
    }
    void read(bool enforceEOF = false, Args...)(auto ref Args args) {
        import std.exception;
        static if (args.length == 0) {
            enforce(enforceEOF == false || !succ());
        } else {
            enforce(readSingle(args[0]));
            read!enforceEOF(args);
        }
    }
}


 
 

 
/* IMPORT /home/yosupo/Programs/dunkelheit/source/dkh/container/stackpayload.d */
// module dkh.container.stackpayload;

 
struct StackPayload(T, size_t MINCAP = 4) if (MINCAP >= 1) {
    import core.exception : RangeError;

    private T* _data;
    private uint len, cap;

    @property bool empty() const { return len == 0; }
    @property size_t length() const { return len; }
    alias opDollar = length;

     
    inout(T)[] data() inout { return (_data) ? _data[0..len] : null; }
    
    ref inout(T) opIndex(size_t i) inout {
        version(assert) if (len <= i) throw new RangeError();
        return _data[i];
    }  
    ref inout(T) front() inout { return this[0]; }  
    ref inout(T) back() inout { return this[$-1]; }  

    void reserve(size_t newCap) {
        import core.memory : GC;
        import core.stdc.string : memcpy;
        import std.conv : to;
        if (newCap <= cap) return;
        void* newData = GC.malloc(newCap * T.sizeof);
        cap = newCap.to!uint;
        if (len) memcpy(newData, _data, len * T.sizeof);
        _data = cast(T*)(newData);
    }  
    void free() {
        import core.memory : GC;
        GC.free(_data);
    }  
     
    void clear() {
        len = 0;
    }

    void insertBack(T item) {
        import std.algorithm : max;
        if (len == cap) reserve(max(cap * 2, MINCAP));
        _data[len++] = item;
    }  
    alias opOpAssign(string op : "~") = insertBack;  
    void removeBack() {
        assert(!empty, "StackPayload.removeBack: Stack is empty");
        len--;
    }  
}

 
/* IMPORT /home/yosupo/Programs/dunkelheit/source/dkh/foundation.d */
 
// module dkh.foundation;

 
static if (__VERSION__ <= 2070) {
    /*
    Copied by https://github.com/dlang/phobos/blob/master/std/algorithm/iteration.d
    Copyright: Andrei Alexandrescu 2008-.
    License: $(HTTP boost.org/LICENSE_1_0.txt, Boost License 1.0).
    */
    template fold(fun...) if (fun.length >= 1) {
        auto fold(R, S...)(R r, S seed) {
            import std.algorithm : reduce;
            static if (S.length < 2) {
                return reduce!fun(seed, r);
            } else {
                import std.typecons : tuple;
                return reduce!fun(tuple(seed), r);
            }
        }
    }
     
}

/*
This source code generated by dunkelheit and include dunkelheit's source code.
dunkelheit's Copyright: Copyright (c) 2016- Kohei Morita. (https://github.com/yosupo06/dunkelheit)
dunkelheit's License: MIT License(https://github.com/yosupo06/dunkelheit/blob/master/LICENSE.txt)
*/


Measured memory_bytes: 256