#include #define rep(i,n) for(int i = 0; i < (n); i++) using namespace std; typedef long long ll; vector> prime_factorize(long long N){ vector> res; for(long long a = 2; a * a <= N; ++a){ if(N % a != 0) continue; long long ex = 0; while(N % a == 0) ++ex, N /= a; res.push_back({a,ex}); } if(N != 1) res.push_back({N,1}); return res; } int main(){ cin.tie(0); ios::sync_with_stdio(0); int N; cin >> N; vector M(N); rep(i,N) cin >> M[i]; vector grundy1(N); rep(i,N){ auto p = prime_factorize(M[i]); vector grundy2; for(auto e : p) grundy2.push_back(e.second % 3); int xor_sum_2 = 0; for(int x : grundy2) xor_sum_2 ^= x; grundy1[i] = xor_sum_2; } int xor_sum_1 = 0; for(int x : grundy1) xor_sum_1 ^= x; cout << (xor_sum_1 > 0 ? "Alice" : "Bob") << endl; }