using System; using System.Collections.Generic; using System.Text; using System.Linq; class Program { public void Proc() { Reader.IsDebug = false; int numberCount = int.Parse(Reader.ReadLine()); this.NumberList = Reader.GetInt(); CreateBaseDic(); bool isAliceWin = this.CanWin(new List(this.NumberList)); Console.WriteLine(isAliceWin ? "Alice" : "Bob"); } private bool CanWin(List target) { string key = string.Join("#", target.OrderBy(a => a)); if (dic.ContainsKey(key)) { return dic[key]; } bool mustLose = true; List subList = new List(target); for (int i = 0; i < target.Count; i++) { for (int j = 0; j < SosuList.Count; j++) { if (target[i] % SosuList[j] == 0) { subList[i] = target[i] / SosuList[j]; if (subList[i] == 1) { subList.RemoveAt(i); } if (!CanWin(subList)) { mustLose = false; } subList = new List(target); } if (target[i] % (SosuList[j]*SosuList[j]) == 0) { subList[i] = target[i] / (SosuList[j] * SosuList[j]); if (subList[i] == 1) { subList.RemoveAt(i); } if (!CanWin(subList)) { mustLose = false; } subList = new List(target); } if (!mustLose) { break; } } if (!mustLose) { break; } } dic.Add(key, !mustLose); return !mustLose; } Dictionary dic = new Dictionary(); private List SosuList = new List(); private void CreateBaseDic() { int max = this.NumberList.Max(); bool[] flags = new bool[max + 1]; List ans = new List(); for (int i = 2; i <= max; i++) { if (!flags[i]) { ans.Add(i); for (int j = 1; j <= max / i; j++) { flags[i * j] = true; } } } this.SosuList = ans; for (int i = 0; i < ans.Count; i++) { if (!dic.ContainsKey(i.ToString())) { dic.Add(i.ToString(), true); } for (int j = 0; j < ans.Count; j++) { if (i == j) { string key = (ans[i] * ans[j]).ToString(); if (dic.ContainsKey(key)) { dic[key] = true; } else { dic.Add(key, true); } dic.Add(ans[i] + "#" + ans[j], false); } else { string key = (ans[i] * ans[j]).ToString(); if (dic.ContainsKey(key)) { dic[key] = false; } else { dic.Add(key, false); } dic.Add(ans[i] + "#" + ans[j], false); } } } } private int[] NumberList; public class Reader { public static bool IsDebug = true; private static String PlainInput = @" 1 24 "; private static System.IO.StringReader Sr = null; public static string ReadLine() { if (IsDebug) { if (Sr == null) { Sr = new System.IO.StringReader(PlainInput.Trim()); } return Sr.ReadLine(); } else { return Console.ReadLine(); } } public static int[] GetInt(char delimiter = ' ', bool trim = false) { string inptStr = ReadLine(); if (trim) { inptStr = inptStr.Trim(); } string[] inpt = inptStr.Split(delimiter); int[] ret = new int[inpt.Length]; for (int i = 0; i < inpt.Length; i++) { ret[i] = int.Parse(inpt[i]); } return ret; } } static void Main() { Program prg = new Program(); prg.Proc(); } }