#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } //constexpr long long MAX = 5100000; constexpr long long INF = 1LL << 60; constexpr int inf = 1000000007; constexpr long long mod = 1000000007LL; //constexpr long long mod = 998244353LL; const long double PI = acos((long double)(-1)); using namespace std; typedef unsigned long long ull; typedef long long ll; typedef long double ld; constexpr long long MAX = 51000; bool IsPrime[MAX]; ll MinFactor[MAX]; vector preprocess(ll n = MAX) { vector res; for (ll i = 0; i < n; ++i) IsPrime[i] = true, MinFactor[i] = -1; IsPrime[0] = false; IsPrime[1] = false; MinFactor[0] = 0; MinFactor[1] = 1; for (ll i = 2; i < n; ++i) { if (IsPrime[i]) { MinFactor[i] = i; res.push_back(i); for (ll j = i * 2; j < n; j += i) { IsPrime[j] = false; if (MinFactor[j] == -1) MinFactor[j] = i; } } } return res; } vector > fast_prime_factor(ll n) { vector > res; while (n != 1) { ll prime = MinFactor[n]; ll exp = 0; while (MinFactor[n] == prime) { ++exp; n /= prime; } res.push_back(make_pair(prime, exp)); } return res; } int main() { /* cin.tie(nullptr); ios::sync_with_stdio(false); */ preprocess(); int n; scanf("%d", &n); vector a(n); for (int i = 0; i < n; i++) scanf("%d", &a[i]); int all_xor = 0; for (int i = 0; i < n; i++) { auto fp = fast_prime_factor(a[i]); for (auto p : fp) { int cnt = p.second; all_xor ^= cnt % 3; } } if (all_xor) puts("Alice"); else puts("Bob"); return 0; }