#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define endl '\n' #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define UNIQ(v) (v).erase(unique((v).begin(), (v).end()), (v).end()) typedef long long ll; typedef long double ld; typedef pair P; typedef complex comp; typedef vector< vector > matrix; struct pairhash { public: template size_t operator()(const pair &x) const { size_t seed = hash()(x.first); return hash()(x.second) + 0x9e3779b9 + (seed<<6) + (seed>>2); } }; const int inf = 1e9 + 9; const ll mod = 1e9 + 7; const double eps = 1e-8; const double pi = acos(-1); int n; int m[10010]; int grundy[10010]; map prime_factor(int n) { map res; for (int i = 2; i * i <= n; i++) { while (n % i == 0) { res[i]++; n /= i; } } if (n != 1) res[n] = 1; return res; } int calc_grundy(int k) { if (k == 1) return 0; if (grundy[k] < 0) { set memo; map pf = prime_factor(k); for (auto v : pf) { memo.insert(calc_grundy(k/v.first)); if (v.second > 1) { memo.insert(calc_grundy(k/(v.first*v.first))); } } int res = 0; while (memo.count(res)) res++; grundy[k] = res; } return grundy[k]; } bool solve() { memset(grundy, -1, sizeof(grundy)); int res = 0; for (int i = 0; i < n; i++) res ^= calc_grundy(m[i]); return res != 0; } void input() { cin >> n; for (int i = 0; i < n; i++) cin >> m[i]; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); input(); cout << (solve()?"Alice":"Bob") << endl; }