#include <bits/stdc++.h>   using namespace std;   int gcd_(int a, int b) {     if (b == 0)       return a;     else       return gcd_(b, a % b);   }   int main() {     int n, i, x;     vector<int> v;     cin >> n;     for (i = 0; i < n; i++) {       cin >> x;       v.push_back(x);     }     int max1 = v[0];     x = v[0];     for (i = 1; i < n; i++) {       x = gcd_(v[i], x);       if (v[i] > max1) max1 = v[i];     }     int moves = ((max1 / x) - n);     if (moves % 2 != 0)       cout <<  Alice  << endl;     else       cout <<  Bob  << endl;     return 0;   }   