using System; using System.IO; using System.Collections.Generic; using System.Globalization; using System.Linq; using System.Text; partial class Solver { public class Factor { public long Prime; public long Count; public List Pows = new List(); } public class PrimeSet : List { private bool[] isPrime; public PrimeSet(int size) : base() { isPrime = Enumerable.Repeat(true, size).ToArray(); Add(2); for (int i = 3; i <= size; i += 2) { if (!isPrime[i >> 1]) continue; Add(i); for (long j = (long)i * i; j <= size; j += i + i) isPrime[j >> 1] = false; } } public bool IsPrime(long x) { if (x == 2) return true; if (x <= 1 || x % 2 == 0) return false; return isPrime[x >> 1]; } } static public List Factorization(PrimeSet primes, long x) { var ret = new List(); foreach (var p in primes) { if (x % p == 0) { int count = 0; var factor = new Factor(); long pow = 1; factor.Pows.Add(pow); while (x % p == 0) { count++; x /= p; pow *= p; factor.Pows.Add(pow); } factor.Pows.Add(pow * p); factor.Prime = p; factor.Count = count; ret.Add(factor); } } if (x > 1) ret.Add(new Factor { Prime = x, Count = 1, Pows = new List { 1, x } }); return ret; } // long Solve(List factors, int pos = 0, long a = 1, long b = 1, long c = 1) { if (pos == factors.Count) { return a + b + c - 3; } else { var prime = factors[pos].Prime; var count = factors[pos].Count; var pows = factors[pos].Pows; long result = long.MaxValue; for (int x = 0; x <= count; x++) { for (int y = 0; x + y <= count; y++) { int z = (int)(count - x - y); var sa = x == 0 ? 1 : pows[x]; var sb = y == 0 ? 1 : pows[y]; var sc = z == 0 ? 1 : pows[z]; var sub = Solve(factors, pos + 1, a * sa, b * sb, c * sc); result = Math.Min(sub, result); } } return result; } } public void Run() { var N = nl(); long tmin = long.MaxValue, tmax = 0; var primeSet = new PrimeSet(10000010); var factors = Factorization(primeSet, N); tmin = Solve(factors); tmax = N - 1; cout.WriteLine(string.Format("{0} {1}", tmin, tmax)); } } // PREWRITEN CODE BEGINS FROM HERE partial class Solver : Scanner { public static void Main(string[] args) { new Solver(Console.In, Console.Out).Run(); } TextReader cin; TextWriter cout; public Solver(TextReader reader, TextWriter writer) : base(reader) { this.cin = reader; this.cout = writer; } public Solver(string input, TextWriter writer) : this(new StringReader(input), writer) { } public int ni() { return NextInt(); } public int[] ni(int n) { return NextIntArray(n); } public long nl() { return NextLong(); } public long[] nl(int n) { return NextLongArray(n); } public double nd() { return NextDouble(); } public string ns() { return Next(); } public string[] ns(int n) { return NextArray(n); } } public class Scanner { private TextReader Reader; private Queue TokenQueue = new Queue(); private CultureInfo ci = CultureInfo.InvariantCulture; public Scanner() : this(Console.In) { } public Scanner(TextReader reader) { this.Reader = reader; } public int NextInt() { return Int32.Parse(Next(), ci); } public long NextLong() { return Int64.Parse(Next(), ci); } public double NextDouble() { return double.Parse(Next(), ci); } public string[] NextArray(int size) { var array = new string[size]; for (int i = 0; i < size; i++) array[i] = Next(); return array; } public int[] NextIntArray(int size) { var array = new int[size]; for (int i = 0; i < size; i++) array[i] = NextInt(); return array; } public long[] NextLongArray(int size) { var array = new long[size]; for (int i = 0; i < size; i++) array[i] = NextLong(); return array; } public String Next() { if (TokenQueue.Count == 0) { if (!StockTokens()) throw new InvalidOperationException(); } return TokenQueue.Dequeue(); } public bool HasNext() { if (TokenQueue.Count > 0) return true; return StockTokens(); } private bool StockTokens() { while (true) { var line = Reader.ReadLine(); if (line == null) return false; var tokens = line.Trim().Split(" ".ToCharArray(), StringSplitOptions.RemoveEmptyEntries); if (tokens.Length == 0) continue; foreach (var token in tokens) TokenQueue.Enqueue(token); return true; } } }