using System; using System.IO; using System.Linq; using System.Text; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; class Program { public void Solve() { int N = Reader.Int(); var A = Reader.IntArray(N); int xor = 0; foreach (int a in A) xor ^= Grundy(Factorization(a).Values.Select(v => v).ToArray()); Console.WriteLine(xor == 0 ? "Bob" : "Alice"); } private int Grundy(int[] count) { if (Array.FindIndex(count, c => c > 0) < 0) return 0; var set = new HashSet(); for (int i = 0; i < count.Length; i++) { int num = count[i]; for (int x = 1; x <= Math.Min(2, num); x++) { --count[i]; set.Add(Grundy(count)); } count[i] = num; } for (int g = 0; ; g++) if (!set.Contains(g)) return g; } static Dictionary Factorization(int n) { var dic = new Dictionary(); for (int i = 2; i * i <= n; i++) while (n % i == 0) { n /= i; if (!dic.ContainsKey(i)) dic[i] = 1; else dic[i]++; } if (n > 1) dic[n] = 1; return dic; } } class Entry { static void Main() { new Program().Solve(); } } class Reader { private static TextReader reader = Console.In; private static readonly char[] separator = { ' ' }; private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; private static string[] A = new string[0]; private static int i; private static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); } public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); } public static string Line() { return reader.ReadLine().Trim(); } private static string[] Split(string s) { return s.Split(separator, op); } private static string Next() { CheckNext(); return A[i++]; } private static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }