#include <bits/stdc++.h>
int sb(int a, int b) {
  if (a % b == 0)
    return b;
  else
    return sb(b, a % b);
}
int main() {
  int n, i, max = 0, a[110];
  scanf("%d", &n);
  for (i = 1; i <= n; i++) {
    scanf("%d", &a[i]);
    max = max > a[i] ? max : a[i];
  }
  int k = a[1];
  for (i = 2; i <= n; i++) k = sb(k, a[i]);
  if ((max / k - n) & 1)
    puts("Alice");
  else
    puts("Bob");
}
